{"as_of":"2026-08-10T04:57:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:2e536358fee4746c2fc346f7956416b53cd39f4d298ebce7422acf27b87e30c1","coverage":[{"denominator":90,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":90,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T14:40:39.852606Z","state":"measured"},{"denominator":90,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":90,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2607.18732/citation-record","integrity":"/paper/2607.18732/integrity","json":"/paper/2607.18732/citation-record.json","paper":"/paper/2607.18732"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:31.897067Z","title":"Let the measurement be performed in the computational basis","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:31.897067Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:9cc9d0989f9026758b62954e62ad2ab90daf52c671a52109b08c4f8d12074337","observation_id":"b66cfd24-8b67-43e1-925b-457662f1515a","resolution":{"observed_at":"2026-08-01T14:40:31.897067Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:32.012414Z","title":"Thus, in this sense, the ran- domness is purely generated by the quantumness of the state and isclassically irreducible","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:32.012414Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:2e5da2e8394c9aa2439d9af476174190303e190241544caf900b61e33b508a0b","observation_id":"c22cd827-84b7-4a76-9d94-b7f1627f8b31","resolution":{"observed_at":"2026-08-01T14:40:32.012414Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:32.168819Z","title":"This state can be decomposed as ρ= 1 2 |ψ+⟩ ⟨ψ+|+ 1 2 |ψ−⟩ ⟨ψ−|, where|ψ ±⟩= √ 3 2 |0⟩+ 1 2 e±iarctan √ 2 |1⟩","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:32.168819Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:735345fe6336d22aa71df9484a3cf69f3ac2a2cf56b6278c363bf92c13bd59f6","observation_id":"a5f9ceca-201d-4857-a759-03fac7848fbb","resolution":{"observed_at":"2026-08-01T14:40:32.168819Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:32.332716Z","title":"Bohr,The quantum postulate and the recent development of atomic theory,Nature121(1928) 580","venue":null,"work_id":null,"year":1928},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:32.332716Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:89f8a9580320f01997fcb6df48741613f37a4cf68bbc18f274b69503b9e09c0c","observation_id":"1fb5800c-4fcb-4e88-8ded-437a96e392d1","resolution":{"observed_at":"2026-08-01T14:40:32.332716Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:32.474537Z","title":"Wootters and W.H","venue":null,"work_id":null,"year":1979},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:32.474537Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:89d368cc82625bf098e3be9b58d6331e4aca6b5ad43652790c0021b19ae99635","observation_id":"7de57db0-a66f-4ebe-a402-9edfe0196828","resolution":{"observed_at":"2026-08-01T14:40:32.474537Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:32.615549Z","title":"Greenberger and A","venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:32.615549Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:0b3f2e7d4694c3e0c4538a4c79d0ec8e893e7e0e13405c74be95b0f272615d47","observation_id":"39d1f7cf-4dd4-440e-a0d4-4926648b0fd4","resolution":{"observed_at":"2026-08-01T14:40:32.615549Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:32.793081Z","title":"Englert,Fringe visibility and which-way information: An inequality,Physical Review Letters77 (1996) 2154","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:32.793081Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:409be628a5991cbf418d431657cb5b29bacfcab4ddbbc49216a0fc48f8dd2e0b","observation_id":"d9b97385-7bad-4c21-a77f-a41152b1e76d","resolution":{"observed_at":"2026-08-01T14:40:32.793081Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1608.01450","last_updated":"2016-12-11T11:17:13Z","snapshot_observed_at":"2026-07-06T05:05:58.291779Z","submitted_at":"2016-08-04T07:49:57Z","title":"Loss-based Experimental Test of Bohr's Complementarity Principle with Single Neutral Atom","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1608.01450","snapshot_observed_at":"2026-08-01T14:40:32.913412Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:32.913412Z"},"links":{"cited_paper":"/paper/1608.01450","citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:978479607e27561c816c34d909369959bb2d0373b02ed5522cd3e7c488a5810c","observation_id":"d2bec1db-04ba-42e5-ace7-e5901ea18fe9","resolution":{"observed_at":"2026-08-01T14:40:32.913412Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:33.036059Z","title":"Norrman, K","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:33.036059Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:7710a771acf76773ef0aabff02a8fd5c4bfd33cd1d80a959d809e56fe65a7d7d","observation_id":"87ead733-e703-4c05-9cc1-729f414f4ba1","resolution":{"observed_at":"2026-08-01T14:40:33.036059Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1702.06308","last_updated":"2018-02-26T13:29:45Z","snapshot_observed_at":"2026-08-03T15:47:41.825978Z","submitted_at":"2017-02-21T09:36:51Z","title":"Experimental demonstration of wave-particle duality relation based on coherence measure","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1702.06308","snapshot_observed_at":"2026-08-01T14:40:33.164572Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:33.164572Z"},"links":{"cited_paper":"/paper/1702.06308","citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:1b42ee52b5bd3de0059beac4b8599e489b935f5c670df254ecfdf45a40d3e848","observation_id":"b7c4b1e0-9821-42f0-b258-6cace98182de","resolution":{"observed_at":"2026-08-01T14:40:33.164572Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1703.08026","last_updated":"2018-12-03T17:52:04Z","snapshot_observed_at":"2026-07-06T05:34:54.813340Z","submitted_at":"2017-03-23T12:08:24Z","title":"Experimental Test of Relation between Coherence and Path Information","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1703.08026","snapshot_observed_at":"2026-08-01T14:40:33.309044Z","title":"Gao, Z.-Q","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:33.309044Z"},"links":{"cited_paper":"/paper/1703.08026","citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:29911d412fc1231a1114097f1b92addc3a7e8006e52725bed26f1a9269385f86","observation_id":"72713adb-1dfb-4623-9f34-3ecbcea489f7","resolution":{"observed_at":"2026-08-01T14:40:33.309044Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2104.04230","last_updated":"2021-04-16T04:12:52Z","snapshot_observed_at":"2026-08-08T03:34:03.526569Z","submitted_at":"2021-04-09T07:45:13Z","title":"Quantitative Complementarity of Wave-Particle Duality","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2104.04230","snapshot_observed_at":"2026-08-01T14:40:33.475589Z","title":"Yoon and M","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:33.475589Z"},"links":{"cited_paper":"/paper/2104.04230","citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:618329db6f9d68346627421f6804654b551f5042eb6b307eab08bfd655f28860","observation_id":"bff25322-fea0-4797-9049-b81e81e122c3","resolution":{"observed_at":"2026-08-01T14:40:33.475589Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2209.02473","last_updated":"2022-09-06T13:16:45Z","snapshot_observed_at":"2026-08-06T03:01:25.975657Z","submitted_at":"2022-09-06T13:16:45Z","title":"Experimental investigation of wave-particle duality relations in asymmetric beam interference","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2209.02473","snapshot_observed_at":"2026-08-01T14:40:33.619616Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:33.619616Z"},"links":{"cited_paper":"/paper/2209.02473","citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:ff090cf456ef110092f4971a6a79a6ece3e677248376a1aff71da61e80f0da58","observation_id":"c0988a30-4bea-46b3-b3a2-c90885e45e00","resolution":{"observed_at":"2026-08-01T14:40:33.619616Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2203.06549","last_updated":"2023-05-03T14:18:51Z","snapshot_observed_at":"2026-07-06T12:47:09.813767Z","submitted_at":"2022-03-13T02:49:11Z","title":"Entanglement-interference complementarity and experimental demonstration in a superconducting circuit","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2203.06549","snapshot_observed_at":"2026-08-01T14:40:33.729529Z","title":"Huang et al.,Entanglement-interference complementarity and experimental demonstration in a superconducting circuit,npj Quantum Inf.9(2023) 43 [2203.06549]","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:33.729529Z"},"links":{"cited_paper":"/paper/2203.06549","citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:67db88a4c28ab11434e04a3fd279b458c1834bb331dfb6eed193f8374d745527","observation_id":"2d77dc54-13e9-4ae2-828f-b2f8bd43c84b","resolution":{"observed_at":"2026-08-01T14:40:33.729529Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:33.872794Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:33.872794Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:28d719c86e4443499531084575ed324dc97c18051d99e46709f0adeaec558d8c","observation_id":"33b89b08-4347-48b6-ad2a-c0c6f9b37a5b","resolution":{"observed_at":"2026-08-01T14:40:33.872794Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/0505108","last_updated":"2005-05-14T09:35:42Z","snapshot_observed_at":"2026-07-07T07:19:14.035265Z","submitted_at":"2005-05-14T09:35:42Z","title":"Simple security proof of quantum key distribution via uncertainty principle","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/0505108","snapshot_observed_at":"2026-08-01T14:40:34.012266Z","title":"Koashi,Simple security proof of quantum key distribution based on complementarity,New J","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:34.012266Z"},"links":{"cited_paper":"/paper/quant-ph/0505108","citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:8ccd1d594ee8d425b557551821afe63e32a9eebcf15c04094c3a567fc07323d1","observation_id":"189869ce-b15a-4073-8230-3b682803daa5","resolution":{"observed_at":"2026-08-01T14:40:34.012266Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1705.00171","last_updated":"2017-04-29T11:38:50Z","snapshot_observed_at":"2026-07-06T05:39:54.532156Z","submitted_at":"2017-04-29T11:38:50Z","title":"Information-theoretic security proof of differential-phase-shift quantum key distribution protocol based on complementarity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1705.00171","snapshot_observed_at":"2026-08-01T14:40:34.146858Z","title":"Mizutani, T","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:34.146858Z"},"links":{"cited_paper":"/paper/1705.00171","citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:e5ef6a1e2d6f0a692bf2a97aaad834f053c2259327732a57dd28713c4f0eb32b","observation_id":"78d2a429-3e39-42db-81fe-374604a918c3","resolution":{"observed_at":"2026-08-01T14:40:34.146858Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2107.09329","last_updated":"2023-06-02T03:41:44Z","snapshot_observed_at":"2026-07-06T11:30:39.330854Z","submitted_at":"2021-07-20T08:40:16Z","title":"Simple security proof of coherent-one-way quantum key distribution","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2107.09329","snapshot_observed_at":"2026-08-01T14:40:34.263723Z","title":"Gao, Y.-M","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:34.263723Z"},"links":{"cited_paper":"/paper/2107.09329","citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:fdb801f31b42a063246cbdee17ad16e2a713cc1ec4ae6869b1ffb4d0bcdc369c","observation_id":"c78fa6b8-f137-4fa2-9128-460bbe876580","resolution":{"observed_at":"2026-08-01T14:40:34.263723Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.03797","last_updated":"2024-07-04T10:01:42Z","snapshot_observed_at":"2026-07-06T18:41:27.621784Z","submitted_at":"2024-07-04T10:01:42Z","title":"Experimental demonstration of the equivalence of entropic uncertainty with wave-particle duality","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.03797","snapshot_observed_at":"2026-08-01T14:40:34.375649Z","title":"Spegel-Lexne, S","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:34.375649Z"},"links":{"cited_paper":"/paper/2407.03797","citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:94f9c0158a277209ad45d6d50c71884c171076eaf4f922fd35758dfa4b358613","observation_id":"a236b771-d6d8-4036-875e-3b700ae81204","resolution":{"observed_at":"2026-08-01T14:40:34.375649Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2507.00679","last_updated":"2025-07-01T11:23:32Z","snapshot_observed_at":"2026-08-09T02:40:00.422888Z","submitted_at":"2025-07-01T11:23:32Z","title":"Certifying semi-device-independent security via wave-particle duality experiments","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2507.00679","snapshot_observed_at":"2026-08-01T14:40:34.528716Z","title":"Raj et al.,Certifying semi-device-independent security via wave-particle duality experiments,npj Quantum Inf.12(2026) 7 [2507.00679]","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:34.528716Z"},"links":{"cited_paper":"/paper/2507.00679","citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:e9c8bf89ee00e6eb2b21adf6de5b1ebaf6f4eacbded7881a8ff2759b8f5dfa0b","observation_id":"41079f89-f8a5-4b31-8867-d0c14cbb747d","resolution":{"observed_at":"2026-08-01T14:40:34.528716Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1506.07223","last_updated":"2015-06-24T02:09:40Z","snapshot_observed_at":"2026-08-06T09:08:25.104541Z","submitted_at":"2015-06-24T02:09:40Z","title":"Infrared Spectroscopy with Visible Light","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1506.07223","snapshot_observed_at":"2026-08-01T14:40:34.594120Z","title":"Kalashnikov, A.V","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:34.594120Z"},"links":{"cited_paper":"/paper/1506.07223","citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:54229a98039d22d9e5803329f1a15cd278e57b30dedfa35b69d7edcb3abfc13c","observation_id":"d626086d-39b4-49a8-b161-add6b535aa27","resolution":{"observed_at":"2026-08-01T14:40:34.594120Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1710.02343","last_updated":"2017-10-06T10:46:33Z","snapshot_observed_at":"2026-07-06T06:03:01.506617Z","submitted_at":"2017-10-06T10:46:33Z","title":"Tunable Optical Coherence Tomography in the Infrared Range Using Visible Photons","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1710.02343","snapshot_observed_at":"2026-08-01T14:40:34.649912Z","title":"Paterova, H","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:34.649912Z"},"links":{"cited_paper":"/paper/1710.02343","citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:a4e206cdb1e485ac5c1ed7d31e4bf3bda5c071ee67651fa47fb7454d90acdfe5","observation_id":"5ab63949-9f53-43ff-a0ab-c728996bc444","resolution":{"observed_at":"2026-08-01T14:40:34.649912Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1126/sciadv.aaz8065","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Kutas, B","venue":"Science Advances","work_id":"709ef59d-6803-4d63-8f84-bcb973a9df7c","year":2020},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:34.794947Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:459174346e1a3b57e60cead65eb0807ad895c4448994cf4351923a9e4e784a74","observation_id":"1dee47ee-c96b-479b-8cba-661ecee0a619","resolution":{"observed_at":"2026-08-01T14:43:34.807603Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1126/sciadv.abd0264","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Kviatkovsky, H.M","venue":"Science Advances","work_id":"035df522-5b04-4c27-9852-ed3a7d32c5c3","year":2020},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:34.970056Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:9bba775927908d478673bddfe4c3ccd79366ef05c6ae0109781c3b37e1375592","observation_id":"719f072d-3437-430b-92e9-b8d6abca017d","resolution":{"observed_at":"2026-08-01T14:43:34.479658Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2205.08832","last_updated":"2022-05-18T10:03:49Z","snapshot_observed_at":"2026-07-06T13:11:07.034769Z","submitted_at":"2022-05-18T10:03:49Z","title":"Loss compensated and enhanced mid-infrared interaction-free sensing with undetected photons","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2205.08832","snapshot_observed_at":"2026-08-01T14:40:35.112588Z","title":"Gemmell, J","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:35.112588Z"},"links":{"cited_paper":"/paper/2205.08832","citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:8b7d0efaa41e6af5cf901178e8f23457b18f2cd9b5be885717bc5f9f3c8aff37","observation_id":"89fc6a56-2962-4bee-9611-98ad1f819713","resolution":{"observed_at":"2026-08-01T14:40:35.112588Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/9401003","last_updated":"1994-05-14T18:52:24Z","snapshot_observed_at":"2026-07-07T03:24:31.295758Z","submitted_at":"1994-01-07T04:37:41Z","title":"Quantum Mechanics as Quantum Measure Theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"gr-qc/9401003","snapshot_observed_at":"2026-08-01T14:40:35.226092Z","title":"Sorkin,Quantum mechanics as quantum measure theory,Mod","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:35.226092Z"},"links":{"cited_paper":"/paper/gr-qc/9401003","citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:31ac4484eea5ee39e907c5a27dbc12e8cca472354dc9bafef2e0ea873d8ce514","observation_id":"73fb3b49-7598-4226-833c-04e230951d88","resolution":{"observed_at":"2026-08-01T14:40:35.226092Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1007.4193","last_updated":"2010-07-23T19:45:19Z","snapshot_observed_at":"2026-07-06T02:13:14.811605Z","submitted_at":"2010-07-23T19:45:19Z","title":"Ruling Out Multi-Order Interference in Quantum Mechanics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1007.4193","snapshot_observed_at":"2026-08-01T14:40:35.341338Z","title":"Sinha, C","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:35.341338Z"},"links":{"cited_paper":"/paper/1007.4193","citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:34aed6119366c1b70426c7b6b6172c5a03eeef61eb40f7c676c5b61c3554ea06","observation_id":"d812177a-9909-43d9-925c-4efdfcc6272b","resolution":{"observed_at":"2026-08-01T14:40:35.341338Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:35.511743Z","title":"Qureshi and M.A","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:35.511743Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:ee217d7777cbdb036de5e75afeb9a6c708309542400cf9d6b7374faf21545269","observation_id":"91159eeb-38de-40a0-9399-2f5886ddea6d","resolution":{"observed_at":"2026-08-01T14:40:35.511743Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:35.710937Z","title":"Roy and T","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:35.710937Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:2ea10adbb46ca1bbbd6e9dfb4415e0219d90650f4ade3e1223e63f28c5a2e035","observation_id":"603be0f1-f849-4481-8dec-b7fde5bd76e3","resolution":{"observed_at":"2026-08-01T14:40:35.710937Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:35.878979Z","title":"Qureshi,Interference visibility and wave-particle duality in multi-path interference,Physical Review A 100(2019) 042105","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:35.878979Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:0c181c27b3a15f8df3ef86bef4cdb5db8bc0ae2b31d50b0d27ea4a8329dd0f2c","observation_id":"c9f723ec-e364-45aa-9894-bc65ed69c673","resolution":{"observed_at":"2026-08-01T14:40:35.878979Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:36.044481Z","title":"Giordani, F","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:36.044481Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:5c4aeedd9a0a391611f4c4bd2a55832c44ba4469d9f065833f3ac757bb2f8b0f","observation_id":"08abf786-206a-45fd-a755-9ec9426f53a0","resolution":{"observed_at":"2026-08-01T14:40:36.044481Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:36.185769Z","title":"Streltsov, G","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:36.185769Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:9511ee8945e591db8a7e55139a9678763f1b8af32d55920d31ccdef55d695520","observation_id":"0c60c6aa-8d84-4dc5-9ae9-e07c22c04592","resolution":{"observed_at":"2026-08-01T14:40:36.185769Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:36.254450Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:36.254450Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:48a76b57357156a7136c6031e651093b7d15751022001c6cdcc0552f862470cd","observation_id":"aca74c9e-8518-44d0-bd3b-9a1cfc61d45a","resolution":{"observed_at":"2026-08-01T14:40:36.254450Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1512.09081","last_updated":"2016-06-09T17:56:29Z","snapshot_observed_at":"2026-08-03T21:25:47.601220Z","submitted_at":"2015-12-30T19:50:05Z","title":"Entropic framework for wave-particle duality in multipath interferometers","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1512.09081","snapshot_observed_at":"2026-08-01T14:40:36.393143Z","title":"Coles,Entropic framework for wave-particle duality in multipath interferometers,Phys","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:36.393143Z"},"links":{"cited_paper":"/paper/1512.09081","citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:8cea3c465f8417a0368f8c2a06a661c5acf23860587d4eb58271342b2208af69","observation_id":"19d1d370-8244-4918-bf0c-1381323ad083","resolution":{"observed_at":"2026-08-01T14:40:36.393143Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:36.557282Z","title":"Bagan, J.A","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:36.557282Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:af6a4eb354b02c1827864002b92ae16962e87b1e7e97d8ddad84ddfb0c95bae1","observation_id":"de64f795-ba81-441b-9cb1-69ed6efb2654","resolution":{"observed_at":"2026-08-01T14:40:36.557282Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:36.725018Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:36.725018Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:32f3924dbccd50efb6da05e293c734ce413af729e0e52c9d515d4bfd7a7f5691","observation_id":"15132e44-d771-4a28-a05f-1f4a1886a66a","resolution":{"observed_at":"2026-08-01T14:40:36.725018Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.14323","last_updated":"2025-06-27T16:00:28Z","snapshot_observed_at":"2026-08-05T22:52:49.866542Z","submitted_at":"2024-04-22T16:33:31Z","title":"Quantum Coherence and Distinguishability as Complementary Resources: A Resource-Theoretic Perspective from Wave-Particle Duality","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.14323","snapshot_observed_at":"2026-08-01T14:40:36.933912Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:36.933912Z"},"links":{"cited_paper":"/paper/2404.14323","citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:9799b560339485dfc4cefa8703f727421d8eaab2e1dc8d5e69a892be7849c0c6","observation_id":"7f71e965-b823-4ec0-bb76-9291181b71d2","resolution":{"observed_at":"2026-08-01T14:40:36.933912Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:37.031068Z","title":"Yang, Z.-X","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:37.031068Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:6a16a57b7a9620e7e960a4e2b141d92765a25ed18e8dc00841c65250f6babb85","observation_id":"88849841-cf81-474a-b195-667744de6bef","resolution":{"observed_at":"2026-08-01T14:40:37.031068Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:37.195076Z","title":"Jakob and J.A","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:37.195076Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:8507fcff2f36c92114581625e907dd911554762183a769d135d6b6ebc6b02477","observation_id":"ea044cec-8c46-4650-b9dd-bb2310bb3509","resolution":{"observed_at":"2026-08-01T14:40:37.195076Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:37.310826Z","title":"Qian, A.N","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:37.310826Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:2bcb11c14d04bc23b60bb42160310b2d126ed22d51fa594d82e4cf1075bf603d","observation_id":"e80d9547-9642-4568-948f-2beeaa891459","resolution":{"observed_at":"2026-08-01T14:40:37.310826Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:37.465146Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:37.465146Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:fb79dc21025806d96207079cb0efdf24b641fb57bb57a9186e6e2aa6bec2554b","observation_id":"16700ed6-8e1f-4f4b-af74-86fc4714b7d3","resolution":{"observed_at":"2026-08-01T14:40:37.465146Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:37.586868Z","title":"Basso and J","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:37.586868Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:d0c5100cd30a2d47f7520aef3a68ac2c1348ee7032271af81ad8d1e542f27d11","observation_id":"d646f9b2-bf47-44b3-9d8f-ccfa15a4b4c4","resolution":{"observed_at":"2026-08-01T14:40:37.586868Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:37.722594Z","title":"Maziero, M.L.W","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:37.722594Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:1e2b3e33cc6bd6775c85d3b39cf75ba6a58c912de1b3118ee18ef5451778a416","observation_id":"c4126cf1-1963-4034-b610-99032b0ae5cb","resolution":{"observed_at":"2026-08-01T14:40:37.722594Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:37.798894Z","title":"Bagan, J","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:37.798894Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:b0dd9093e6342b49316dcd1e83412493560cd4a9b7a1db894f50cd0449dc4d36","observation_id":"9feb08d9-c0c6-40c6-96d5-41acb868f5db","resolution":{"observed_at":"2026-08-01T14:40:37.798894Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1508.04880","last_updated":"2016-02-27T02:15:33Z","snapshot_observed_at":"2026-08-04T12:59:36.036219Z","submitted_at":"2015-08-20T05:32:32Z","title":"Source-independent quantum random number generation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1508.04880","snapshot_observed_at":"2026-08-01T14:40:37.916929Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:37.916929Z"},"links":{"cited_paper":"/paper/1508.04880","citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:0ffe6baaacea66d6abf549ec9bcc85303c0c08eec99acf05adf3b3b433dcc2e2","observation_id":"241bebb7-dbb6-404a-aff8-2dab6bfb3433","resolution":{"observed_at":"2026-08-01T14:40:37.916929Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1704.06915","last_updated":"2019-04-25T07:21:08Z","snapshot_observed_at":"2026-08-05T14:37:36.468329Z","submitted_at":"2017-04-23T11:46:07Z","title":"Coherence as a resource for source-independent quantum random-number generation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1704.06915","snapshot_observed_at":"2026-08-01T14:40:38.018985Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:38.018985Z"},"links":{"cited_paper":"/paper/1704.06915","citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:febb00f918f02c74b4223173b682e8015d0204ef6267ed5cedcdfeea84f23f1d","observation_id":"2e797f62-365b-44ab-bd5b-8902ef2aaf01","resolution":{"observed_at":"2026-08-01T14:40:38.018985Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:38.135079Z","title":"Budiyono and H.K","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:38.135079Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:b4a0bb55dcb33439c5d2c1d6aaf78a9436ccc1f86722b30fdb4f43381eaaaab0","observation_id":"08721d00-6b0c-417d-b63c-578502e1c03f","resolution":{"observed_at":"2026-08-01T14:40:38.135079Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:38.283303Z","title":"Budiyono, J.F","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:38.283303Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:573eb097dc236cce0d9291ec8a6864b8f1d2526a3765cbc0be6ca804cc8e9ab7","observation_id":"4ecc2f50-5ec9-4df1-ae41-1280690c2491","resolution":{"observed_at":"2026-08-01T14:40:38.283303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:38.437321Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:38.437321Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:98259a5977dee9bca56c41d97e1d73585b055031c14e0a46235c5a8a76c7fa6d","observation_id":"fdf76e66-56da-43e1-b411-58ccd9ef4400","resolution":{"observed_at":"2026-08-01T14:40:38.437321Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:38.589198Z","title":"Basso and J","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:38.589198Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:2b2b26d21ff56a92f882cc60b71016daefd52bb9147bcf929fba2afb237171e7","observation_id":"5e31c642-720f-45cf-bffd-a4c5fc293bcf","resolution":{"observed_at":"2026-08-01T14:40:38.589198Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:38.711473Z","title":"Bhattacharyya,On a measure of divergence between two statistical populations defined by probability distributions,Bulletin of the Calcutta Mathematical Society35(1943) 99","venue":null,"work_id":null,"year":1943},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:38.711473Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:382cfbb273a993b6864c65208669d9009a3ea779c1155fae8f2d7857c520e70d","observation_id":"d4d771a5-6f14-4209-ae7a-e33ab71d673a","resolution":{"observed_at":"2026-08-01T14:40:38.711473Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:38.857264Z","title":"Fuchs and J","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:38.857264Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:11fe238bcf4013c09646c317aedef5af52dcfc7d278cee48933581841b7332df","observation_id":"8e133caf-f990-41e3-a4c4-ea3dd6730d82","resolution":{"observed_at":"2026-08-01T14:40:38.857264Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:39.028198Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:39.028198Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:10f5636bf3d6438f3c01d21a54e7b737f52b3b4f8a21db54115eec3f2ed14d9e","observation_id":"5e21021e-f2e5-4a15-8212-468b9d5e4624","resolution":{"observed_at":"2026-08-01T14:40:39.028198Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:39.140131Z","title":"Markham, J.A","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:39.140131Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:bcb921a1c8ce30f2976780035e376f61469786c438cc02df2273405104285ab1","observation_id":"cfa08bd1-8c7e-473b-9eb3-cebd26476d79","resolution":{"observed_at":"2026-08-01T14:40:39.140131Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:39.237770Z","title":"Pucha la, L","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:39.237770Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:20cdaff3e765074af4e9bd80120100fe6a57a858c2719aff7be0380f82263d34","observation_id":"78cc0528-5726-4052-9e5c-70034b0f49b9","resolution":{"observed_at":"2026-08-01T14:40:39.237770Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:39.341525Z","title":"D¨ urr,Quantitative wave–particle duality in multibeam interferometers,Physical Review A64(2001) 042113","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:39.341525Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:f7bc4b92735cb50a891f1c9c2c076b1788050bbf0b53969c00dcdd00ad72af8a","observation_id":"d07d3e26-0d7e-4d3d-80aa-087d63360426","resolution":{"observed_at":"2026-08-01T14:40:39.341525Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:39.459550Z","title":"Englert, D","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:39.459550Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:b8fced4fcae9873e948ce2d437a0228413d2cbf65ebc5f68882f3531eb762181","observation_id":"0cfaab0f-7a2e-40bb-8781-6b143bbdfe76","resolution":{"observed_at":"2026-08-01T14:40:39.459550Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:39.619352Z","title":"Baumgratz, M","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:39.619352Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:8e9c47a15a80d94774625463cc7e7cdadfa59be3b617cf4245f150a4b882c1fa","observation_id":"b01cc61d-b915-44ac-a6dd-f19341b85703","resolution":{"observed_at":"2026-08-01T14:40:39.619352Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1506.07975","last_updated":"2016-01-19T07:26:56Z","snapshot_observed_at":"2026-08-03T14:09:27.006380Z","submitted_at":"2015-06-26T07:32:07Z","title":"Operational Resource Theory of Coherence","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1506.07975","snapshot_observed_at":"2026-08-01T14:40:39.734255Z","title":"Winter and D","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:39.734255Z"},"links":{"cited_paper":"/paper/1506.07975","citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:3f8ba6353c2ced574aa6da536d095292c9b60f30953de008fef1cacfc26c58e0","observation_id":"342f19d7-56c0-43b7-9594-974926b391cf","resolution":{"observed_at":"2026-08-01T14:40:39.734255Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2104.03844","last_updated":"2021-04-08T15:38:46Z","snapshot_observed_at":"2026-08-06T00:33:00.111083Z","submitted_at":"2021-04-08T15:38:46Z","title":"Fidelity based purity and coherence for quantum states","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2104.03844","snapshot_observed_at":"2026-08-01T14:40:39.738896Z","title":"Indrajith, R","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:39.738896Z"},"links":{"cited_paper":"/paper/2104.03844","citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:551a6ad37b54e029563763ebde6844d6bf77e7bec241adf105c1acff545e27ca","observation_id":"844da073-3e37-439c-b4bb-fcbaf22dcf83","resolution":{"observed_at":"2026-08-01T14:40:39.738896Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:39.743087Z","title":"L¨ u,Geometric coherence and path distinguishability, New Journal of Physics27(2025) 094511","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:39.743087Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:5b9a95c5b0d6f7a38e59ce5e7a019e32ec49d9b83866186c971e8fb6fff67379","observation_id":"fbe790bb-98be-4ceb-81a0-11187f170832","resolution":{"observed_at":"2026-08-01T14:40:39.743087Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1706.07941","last_updated":"2017-07-05T04:48:21Z","snapshot_observed_at":"2026-08-06T17:33:00.854561Z","submitted_at":"2017-06-24T11:26:27Z","title":"A new coherence measure based on fidelity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1706.07941","snapshot_observed_at":"2026-08-01T14:40:39.746511Z","title":"Liu, D.-J","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:39.746511Z"},"links":{"cited_paper":"/paper/1706.07941","citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:2849e078cba494cd7073261d8aadd580ef47a2c7f871e4c7f5f973217fd0672c","observation_id":"c7369931-b5ba-45f0-81ce-954b4a57c193","resolution":{"observed_at":"2026-08-01T14:40:39.746511Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:39.750245Z","title":"Uhlmann,Roofs and convexity,Entropy12(2010) 1799","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:39.750245Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:65957d0ddc1b9b60f956897bdc823545642b58b2604e1bcead663fba77e4c556","observation_id":"cc619b68-3ee3-47b7-b779-f01b960da40a","resolution":{"observed_at":"2026-08-01T14:40:39.750245Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:39.753738Z","title":"Gour,Resources of the quantum world, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:39.753738Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:32d66ac87080f65ab9048029395f1cafb94c7b3b30c5cc3e3204fecbc0249217","observation_id":"3f055301-4e73-4e25-b098-d2b786d53761","resolution":{"observed_at":"2026-08-01T14:40:39.753738Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:39.757696Z","title":"Carmeli, T","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:39.757696Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:30091548f51ff4f18ccf74162ac6dd3ac67891c982fd31077536a694b15fd9f6","observation_id":"87008174-3afd-4452-866b-fba2bd8e3eb8","resolution":{"observed_at":"2026-08-01T14:40:39.757696Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:39.761090Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:39.761090Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:82a196909348927043c22fddf8f7da3142a569c990f6397e9c258e186f2cab98","observation_id":"be82ccd3-be50-4c5a-9492-6f13e97f5823","resolution":{"observed_at":"2026-08-01T14:40:39.761090Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:39.764849Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:39.764849Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:8944ceb8d7f3ae30b958fe67ecd5e29a52028bc5a623b3d8384f6169ac6d4e36","observation_id":"b702f504-e901-4e6e-8a8f-877bf9193157","resolution":{"observed_at":"2026-08-01T14:40:39.764849Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:39.768023Z","title":"Rarity, P.C.M","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:39.768023Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:7138fa3e0d74f330afb18f2d4e4e8e247f01cf5cb864aa64e2ca569a6b08c7f5","observation_id":"5950aa17-bbec-45e9-9b76-701713aca922","resolution":{"observed_at":"2026-08-01T14:40:39.768023Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:39.771436Z","title":"Stefanov, N","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:39.771436Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:93b9534a69f4934137a09b8f464a848730abd9eefab55296060fb3820e081278","observation_id":"b084c4a1-7e3a-4bf4-ac27-32a8938a2bd9","resolution":{"observed_at":"2026-08-01T14:40:39.771436Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:39.774688Z","title":"Jennewein, U","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:39.774688Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:14cda2bb93025c742d75ae49364a05f146069b61554b95fbd9f55d8db3004faf","observation_id":"734f696a-3f91-4013-ab2d-3f8aa5ad6bfd","resolution":{"observed_at":"2026-08-01T14:40:39.774688Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:39.778423Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:39.778423Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:3fda6ba0e581f4d8cd65619b809f441a26b5f6733247c6e889357ca332d31b17","observation_id":"f24880fc-ec0d-4040-9957-2c3b8bf25c6a","resolution":{"observed_at":"2026-08-01T14:40:39.778423Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:39.781871Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:39.781871Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:fb836328305eb1db27dd5a24066751b8a2716f9172962104961aeef649f02597","observation_id":"161d90af-2de9-46ff-b7f1-fa76113f9607","resolution":{"observed_at":"2026-08-01T14:40:39.781871Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1509.07390","last_updated":"2015-09-24T14:35:38Z","snapshot_observed_at":"2026-07-06T04:30:58.385396Z","submitted_at":"2015-09-24T14:35:38Z","title":"Source-device-independent Ultra-fast Quantum Random Number Generation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1509.07390","snapshot_observed_at":"2026-08-01T14:40:39.785294Z","title":"Marangon, G","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:39.785294Z"},"links":{"cited_paper":"/paper/1509.07390","citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:0324bf9d774342165c87402951461a561b607bbafb73b5bac163ab9306ff7e10","observation_id":"f952c0b8-5434-4653-bc32-fd87e9b9614b","resolution":{"observed_at":"2026-08-01T14:40:39.785294Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1801.04139","last_updated":"2018-01-12T11:51:49Z","snapshot_observed_at":"2026-07-06T06:18:21.154128Z","submitted_at":"2018-01-12T11:51:49Z","title":"Secure heterodyne-based quantum random number generator at 17 Gbps","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1801.04139","snapshot_observed_at":"2026-08-01T14:40:39.788819Z","title":"Avesani, D.G","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:39.788819Z"},"links":{"cited_paper":"/paper/1801.04139","citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:60f8c0f21430a9c077d6edd5da7431d78fafa0f113b80c848ba9a60b0604c744","observation_id":"0dc10a08-3d7d-4600-9180-6d7d8d7c6ab8","resolution":{"observed_at":"2026-08-01T14:40:39.788819Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1903.01071","last_updated":"2019-03-04T05:01:49Z","snapshot_observed_at":"2026-08-05T17:33:47.503805Z","submitted_at":"2019-03-04T05:01:49Z","title":"Real-Time Source Independent Quantum Random Number Generator with Squeezed States","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1903.01071","snapshot_observed_at":"2026-08-01T14:40:39.792471Z","title":"Michel, J.Y","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:39.792471Z"},"links":{"cited_paper":"/paper/1903.01071","citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:e978ff4b01161c6fd648358a5e296689cc69c805a37b89c6bcad4aec5ebbcc69","observation_id":"be4f256b-5a63-4f50-b19a-0dff3f1b4293","resolution":{"observed_at":"2026-08-01T14:40:39.792471Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:39.795975Z","title":"Massey,Guessing and entropy, inProc","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:39.795975Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:148dd0490a0d1fe63fc9436e194ccb9699074a4db19d613ca90f36f0f18a7e0c","observation_id":"b314edc8-9019-4c44-9b57-671b6b368c36","resolution":{"observed_at":"2026-08-01T14:40:39.795975Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:39.799545Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:39.799545Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:820185ed8fe6fe58204c6d63bb868194f7f6500958ddf854b5040a5ada52e8bb","observation_id":"4c989150-9e1b-4459-8b96-2eae46bfede4","resolution":{"observed_at":"2026-08-01T14:40:39.799545Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:39.803238Z","title":"Rioul,Variations on a theme by massey,IEEE Transactions on Information Theory68(2022) 2813","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:39.803238Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:93bf4a0e8391814eaf71d81962004776ba946ddce03eaa41f2a58677dba43770","observation_id":"fb9ee11e-5995-4e71-bca8-52b433d2ac83","resolution":{"observed_at":"2026-08-01T14:40:39.803238Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:39.811088Z","title":"Herrero-Collantes and J.C","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:39.811088Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:c336970c88feae923d0a933501e628fe9d2c9ca2d2ac2603ae079c5a07871290","observation_id":"0c9709e4-9863-44a7-b42a-68d97123dcf0","resolution":{"observed_at":"2026-08-01T14:40:39.811088Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:39.814394Z","title":"Turan, E","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:39.814394Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:1cb2ddf5d72d7033bf10f51f51d7ca5d25a41793d5bbc6fc8729443fa4780358","observation_id":"f51d589d-36fc-4916-a799-bfd3b4c4cb91","resolution":{"observed_at":"2026-08-01T14:40:39.814394Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0807.1338","last_updated":"2015-11-23T10:07:25Z","snapshot_observed_at":"2026-07-06T01:44:49.516302Z","submitted_at":"2008-07-08T21:12:54Z","title":"The operational meaning of min- and max-entropy","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0807.1338","snapshot_observed_at":"2026-08-01T14:40:39.817561Z","title":"K¨ onig, R","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:39.817561Z"},"links":{"cited_paper":"/paper/0807.1338","citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:d35b6e1a96e8c9304070fc64e035b4c80635ae4ae8d28b6207b88810d0b11f53","observation_id":"cdc9fedf-4655-4aca-8626-71c66f1b4510","resolution":{"observed_at":"2026-08-01T14:40:39.817561Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1401.5194","last_updated":"2017-10-10T09:02:15Z","snapshot_observed_at":"2026-07-06T03:33:52.832310Z","submitted_at":"2014-01-21T06:34:34Z","title":"Fundamental Finite Key Limits for One-Way Information Reconciliation in Quantum Key Distribution","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1401.5194","snapshot_observed_at":"2026-08-01T14:40:39.820947Z","title":"Tomamichel, J","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:39.820947Z"},"links":{"cited_paper":"/paper/1401.5194","citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:1a1e5e09190388aba9264851415159567a6605bcdfd0aaf55d51a1b09d1b4cad","observation_id":"8de2df0c-3901-4bf5-a2c0-57bb5fd97346","resolution":{"observed_at":"2026-08-01T14:40:39.820947Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:39.824874Z","title":"Nielsen and I.L","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:39.824874Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:9b4bededd5ed2d237fb64d323dada72b50e27f2b82d756aed3791775abde8f51","observation_id":"8d78cf59-bc03-44f4-9728-fde4b97c7ee5","resolution":{"observed_at":"2026-08-01T14:40:39.824874Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:39.828497Z","title":"We provide the proof that the convex–roof construction guarantees the convexity of the coherence by its nature","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:39.828497Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:a08712edc9b9a3434ee00a2ca4fd743e3eac6d811b6f88745f2b49385bae092b","observation_id":"e0b9898a-b11c-4abc-a22e-c068eeab65c2","resolution":{"observed_at":"2026-08-01T14:40:39.828497Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:39.832517Z","title":"Finding the maximum value is straightforward since the set consists of pure states, thus we just need to apply the formula for pure states in eq","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:39.832517Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:791c76db1ef2df5ad2981b0e3dd31599d969b1793e9e4d0a06074cdeaacdb006","observation_id":"aede3733-08c0-47c5-ada8-80c85a726cde","resolution":{"observed_at":"2026-08-01T14:40:39.832517Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:39.836533Z","title":"Proof.We consider the coherence of a state after undergoing a decoherence operation","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:39.836533Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:35c8bdbebb6cd740f39b0af58fb3ae81d45b4b69015cf7c7ea6b9d86e55a2c0c","observation_id":"63942057-397b-487b-a998-dcf53013fe9b","resolution":{"observed_at":"2026-08-01T14:40:39.836533Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:39.840570Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:39.840570Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:08313f1d39a0dc6ab17931a88dac44f5c8aef416ccd24040075ff863300ab35e","observation_id":"61c6348f-a2d3-4598-86d6-90565906b210","resolution":{"observed_at":"2026-08-01T14:40:39.840570Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:39.844922Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:39.844922Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:a8b6fe8b7578832efa22bf7cf9f47c94760a400618b811a962acf862bd612a47","observation_id":"bf4cc337-4137-44f9-a737-96522767dc53","resolution":{"observed_at":"2026-08-01T14:40:39.844922Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:39.848412Z","title":"Proof.SinceUcommutes withA, we can write the unitary operation as U|a⟩=e iθa |a⟩,(50) whereθ a ∈R","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:39.848412Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:b2de78296815fc45ae64f77dd37c6061f8d62c913a31d6f8c2babcc37346a3fd","observation_id":"a31fec0f-d861-4299-903a-b320e651d3a8","resolution":{"observed_at":"2026-08-01T14:40:39.848412Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T14:40:39.852606Z","title":"s+ p (d−s 2)(d−1) d #2 , (77) where we have used the fact that 1/d≤s/d≤1/ √ d≤ √pmax ≤1 for the eighth line. Now define a function for the LHS of the equationQ d(s), Qd(s) :=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation","version":1},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-08-01T14:40:39.852606Z"},"links":{"citing_paper":"/paper/2607.18732"},"observation_digest":"sha256:f5408f1db42d7f918422611e2fffb0198d323dae4d3e63e25a0633acccd03321","observation_id":"1b825ab6-4752-48f9-887e-56799c25811b","resolution":{"observed_at":"2026-08-01T14:40:39.852606Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.18732","last_updated":"2026-07-21T05:43:59Z","latest_version":1,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-08T05:19:45.866368Z","submitted_at":"2026-07-21T05:43:59Z","title":"Trade-off between predictability and quantum coherence for multi-path interferometry and its operational interpretation"},"reference_resolution":{"displayed":90,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":88,"verified_exact":2,"verified_fuzzy":0},"total_outbound_references":90},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 90 of 90 outbound references and 0 inbound Pith citation observations for arXiv:2607.18732."}