{"as_of":"2026-08-13T19:53:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:fc5a4af9474a80a8fe8eff4aabf3a18b486a308fe8556501f4ca4fcdc9161b36","coverage":[{"denominator":38,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":38,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T19:50:03.257202Z","state":"measured"},{"denominator":38,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":38,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+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/2608.10674/citation-record","integrity":"/paper/2608.10674/integrity","json":"/paper/2608.10674/citation-record.json","paper":"/paper/2608.10674"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"quant-ph/9511027","last_updated":"1995-11-22T17:00:55Z","snapshot_observed_at":"2026-07-07T07:25:58.693900Z","submitted_at":"1995-11-20T21:16:55Z","title":"Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/9511027","snapshot_observed_at":"2026-08-12T19:50:03.069569Z","title":"Purification of noisy entanglement and faithful teleportation via noisy channels","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2608.10674","last_updated":"2026-08-11T08:55:41Z","snapshot_observed_at":"2026-08-13T19:44:31.767213Z","submitted_at":"2026-08-11T08:55:41Z","title":"Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-12T19:50:03.069569Z"},"links":{"cited_paper":"/paper/quant-ph/9511027","citing_paper":"/paper/2608.10674"},"observation_digest":"sha256:bf3a9497f7c15c65e140f683a43f77f78443a101cc17f243e2a858735e1c3723","observation_id":"36dc522d-cd85-4870-a7bb-0eacb50428b8","resolution":{"observed_at":"2026-08-12T19:50:03.069569Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/0102001","last_updated":"2001-02-01T23:31:50Z","snapshot_observed_at":"2026-07-07T07:04:25.240308Z","submitted_at":"2001-02-01T23:31:50Z","title":"Quantum fingerprinting","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/0102001","snapshot_observed_at":"2026-08-12T19:50:03.076782Z","title":"Quantum fingerprinting","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2608.10674","last_updated":"2026-08-11T08:55:41Z","snapshot_observed_at":"2026-08-13T19:44:31.767213Z","submitted_at":"2026-08-11T08:55:41Z","title":"Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-12T19:50:03.076782Z"},"links":{"cited_paper":"/paper/quant-ph/0102001","citing_paper":"/paper/2608.10674"},"observation_digest":"sha256:adcb938fbf75b3518363108ee8a2d245ab6b40f344a3d526650c80b1669e392b","observation_id":"08f1f515-a1c8-4bd5-92ae-c245b04c7d32","resolution":{"observed_at":"2026-08-12T19:50:03.076782Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.13073","last_updated":"2025-07-29T13:22:06Z","snapshot_observed_at":"2026-08-13T11:11:06.072733Z","submitted_at":"2023-06-22T17:46:39Z","title":"Unitary Complexity and the Uhlmann Transformation Problem","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.13073","snapshot_observed_at":"2026-08-12T19:50:03.081601Z","title":"Unitary complexity and the Uhlmann transformation problem","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.10674","last_updated":"2026-08-11T08:55:41Z","snapshot_observed_at":"2026-08-13T19:44:31.767213Z","submitted_at":"2026-08-11T08:55:41Z","title":"Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-12T19:50:03.081601Z"},"links":{"cited_paper":"/paper/2306.13073","citing_paper":"/paper/2608.10674"},"observation_digest":"sha256:e8b18eeacdebe32f715516febec2e2ba8fb5749e7cfb63744cd67649d269c292","observation_id":"cc8030da-af6c-467a-a3ed-13f6c1fe0287","resolution":{"observed_at":"2026-08-12T19:50:03.081601Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/0005055","last_updated":"2000-05-15T18:19:59Z","snapshot_observed_at":"2026-07-07T07:03:25.387553Z","submitted_at":"2000-05-15T18:19:59Z","title":"Quantum Amplitude Amplification and Estimation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/0005055","snapshot_observed_at":"2026-08-12T19:50:03.087065Z","title":"Quantum amplitude amplification and estimation","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2608.10674","last_updated":"2026-08-11T08:55:41Z","snapshot_observed_at":"2026-08-13T19:44:31.767213Z","submitted_at":"2026-08-11T08:55:41Z","title":"Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-12T19:50:03.087065Z"},"links":{"cited_paper":"/paper/quant-ph/0005055","citing_paper":"/paper/2608.10674"},"observation_digest":"sha256:85de9b3661a516f21098d6f72a0130956567727923d93a954ef532e6e3ac1aaa","observation_id":"e404a960-8153-4126-9027-1b87f2a6182b","resolution":{"observed_at":"2026-08-12T19:50:03.087065Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2509.05257","last_updated":"2025-09-05T17:14:56Z","snapshot_observed_at":"2026-08-11T17:22:43.439538Z","submitted_at":"2025-09-05T17:14:56Z","title":"Local transformations of bipartite entanglement are rigid","version":1},"cited_work":{"arxiv_id":"2509.05257","doi":null,"metadata_source":"pith","pith_arxiv_id":"2509.05257","snapshot_observed_at":"2026-08-12T19:50:04.159430Z","title":"Local transformations of bipartite entanglement are rigid","venue":"quant-ph","work_id":"c55efb02-7996-4475-ae14-0fb0645e584b","year":2025},"citing_paper":{"arxiv_id":"2608.10674","last_updated":"2026-08-11T08:55:41Z","snapshot_observed_at":"2026-08-13T19:44:31.767213Z","submitted_at":"2026-08-11T08:55:41Z","title":"Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-12T19:50:03.093212Z"},"links":{"cited_paper":"/paper/2509.05257","citing_paper":"/paper/2608.10674"},"observation_digest":"sha256:a68391096fa3b48dc696c86346ac8b21ab84c5838b887caff22c642cc9f77565","observation_id":"eb8f8eef-5075-4d5b-ae66-4ee37ef5578b","resolution":{"observed_at":"2026-08-12T19:50:04.163815Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T19:50:03.098045Z","title":"A list of complexity bounds for property testing by quantum sample-to-query lifting, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.10674","last_updated":"2026-08-11T08:55:41Z","snapshot_observed_at":"2026-08-13T19:44:31.767213Z","submitted_at":"2026-08-11T08:55:41Z","title":"Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-12T19:50:03.098045Z"},"links":{"citing_paper":"/paper/2608.10674"},"observation_digest":"sha256:19539fc25832ff8e103ee80e4769dbd2b36cd6093383800f851345124ec8dba1","observation_id":"9fb87964-35fd-4eb2-ac3f-9d8b167eedde","resolution":{"observed_at":"2026-08-12T19:50:03.098045Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/9712042","last_updated":"1998-04-03T17:31:47Z","snapshot_observed_at":"2026-07-31T03:12:08.800022Z","submitted_at":"1997-12-18T22:32:29Z","title":"Cryptographic Distinguishability Measures for Quantum Mechanical States","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/9712042","snapshot_observed_at":"2026-08-12T19:50:03.103247Z","title":"Fuchs and Jeroen Graaf v an de Graaf","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2608.10674","last_updated":"2026-08-11T08:55:41Z","snapshot_observed_at":"2026-08-13T19:44:31.767213Z","submitted_at":"2026-08-11T08:55:41Z","title":"Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-12T19:50:03.103247Z"},"links":{"cited_paper":"/paper/quant-ph/9712042","citing_paper":"/paper/2608.10674"},"observation_digest":"sha256:41968f695d1e6124edee0130a03fa64e8f36a06f42dea1215072f073e2ca32b4","observation_id":"e21ad8cd-8a9f-4e3b-ad97-c001c31bd9be","resolution":{"observed_at":"2026-08-12T19:50:03.103247Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1410.0664","last_updated":"2015-01-21T18:26:03Z","snapshot_observed_at":"2026-08-01T16:09:19.143253Z","submitted_at":"2014-10-02T19:42:17Z","title":"Quantum conditional mutual information and approximate Markov chains","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1410.0664","snapshot_observed_at":"2026-08-12T19:50:03.107769Z","title":"Quantum conditional mutual information and approximate markov chains","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2608.10674","last_updated":"2026-08-11T08:55:41Z","snapshot_observed_at":"2026-08-13T19:44:31.767213Z","submitted_at":"2026-08-11T08:55:41Z","title":"Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-12T19:50:03.107769Z"},"links":{"cited_paper":"/paper/1410.0664","citing_paper":"/paper/2608.10674"},"observation_digest":"sha256:d8d3fe0b0ea43585165093fb18b4256a3242684882a9586ab31cc410958d4937","observation_id":"120fd2dc-c5bf-40a3-84a1-071023282384","resolution":{"observed_at":"2026-08-12T19:50:03.107769Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2506.23650","last_updated":"2026-07-02T17:48:49Z","snapshot_observed_at":"2026-08-09T00:31:10.533450Z","submitted_at":"2025-06-30T09:24:03Z","title":"Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.23650","snapshot_observed_at":"2026-08-12T19:50:03.120439Z","title":"Query-optimal and sample-optimal quantum algorithms for estimating fidelity to a pure state","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.10674","last_updated":"2026-08-11T08:55:41Z","snapshot_observed_at":"2026-08-13T19:44:31.767213Z","submitted_at":"2026-08-11T08:55:41Z","title":"Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-12T19:50:03.120439Z"},"links":{"cited_paper":"/paper/2506.23650","citing_paper":"/paper/2608.10674"},"observation_digest":"sha256:ee79979b3e006fcb71ead33f7eee0e9b3db6862cb3252059f4ee38f21e28729e","observation_id":"34e10d8a-730f-4bc4-98cf-5127183df088","resolution":{"observed_at":"2026-08-12T19:50:03.120439Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2203.15993","last_updated":"2022-03-30T02:02:16Z","snapshot_observed_at":"2026-08-13T16:12:52.261912Z","submitted_at":"2022-03-30T02:02:16Z","title":"Improved Quantum Algorithms for Fidelity Estimation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2203.15993","snapshot_observed_at":"2026-08-12T19:50:03.126204Z","title":"Improved quantum algorithms for fidelity estimation","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2608.10674","last_updated":"2026-08-11T08:55:41Z","snapshot_observed_at":"2026-08-13T19:44:31.767213Z","submitted_at":"2026-08-11T08:55:41Z","title":"Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-12T19:50:03.126204Z"},"links":{"cited_paper":"/paper/2203.15993","citing_paper":"/paper/2608.10674"},"observation_digest":"sha256:b6218e2a5746b60bdb3bbc1d460d401dc0da9006d8fe55bb3010cd7148fa7356","observation_id":"5da18df5-500d-44c9-ace1-aee664bc37c4","resolution":{"observed_at":"2026-08-12T19:50:03.126204Z","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":"2026-08-12T19:50:03.132118Z","title":"Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2608.10674","last_updated":"2026-08-11T08:55:41Z","snapshot_observed_at":"2026-08-13T19:44:31.767213Z","submitted_at":"2026-08-11T08:55:41Z","title":"Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-12T19:50:03.132118Z"},"links":{"citing_paper":"/paper/2608.10674"},"observation_digest":"sha256:f3a04aa853e724cf9292414d4682fe0dbc51fd68f6860d5d163ac60ddaebf298","observation_id":"d16cdbf0-6f22-45b1-b09c-059d7390df62","resolution":{"observed_at":"2026-08-12T19:50:03.132118Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/9807091","last_updated":"1999-03-02T14:12:03Z","snapshot_observed_at":"2026-07-31T09:19:13.363912Z","submitted_at":"1998-07-31T17:02:47Z","title":"General teleportation channel, singlet fraction and quasi-distillation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/9807091","snapshot_observed_at":"2026-08-12T19:50:03.136781Z","title":"General teleportation channel, singlet fraction, and quasidistillation","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2608.10674","last_updated":"2026-08-11T08:55:41Z","snapshot_observed_at":"2026-08-13T19:44:31.767213Z","submitted_at":"2026-08-11T08:55:41Z","title":"Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-12T19:50:03.136781Z"},"links":{"cited_paper":"/paper/quant-ph/9807091","citing_paper":"/paper/2608.10674"},"observation_digest":"sha256:d153c3529bc6af44d66e0970d8fea94ee0491b22a22f7347f6bed1340c7db065","observation_id":"6ed12e92-d20b-4dfb-ad22-fc140cb46e6a","resolution":{"observed_at":"2026-08-12T19:50:03.136781Z","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":"2026-08-12T19:50:03.141474Z","title":"Fidelity for mixed quantum states","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2608.10674","last_updated":"2026-08-11T08:55:41Z","snapshot_observed_at":"2026-08-13T19:44:31.767213Z","submitted_at":"2026-08-11T08:55:41Z","title":"Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-12T19:50:03.141474Z"},"links":{"citing_paper":"/paper/2608.10674"},"observation_digest":"sha256:f9fbdb4fa7d61c1439f3f91fe5fa44a5d809dd93dc01857deb98f7c52d0d0208","observation_id":"8b22664d-a3bc-45a6-9f7a-cc0a831ee02c","resolution":{"observed_at":"2026-08-12T19:50:03.141474Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1509.07127","last_updated":"2018-08-07T05:30:57Z","snapshot_observed_at":"2026-07-06T04:30:52.320010Z","submitted_at":"2015-09-23T20:07:12Z","title":"Universal recovery maps and approximate sufficiency of quantum relative entropy","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1509.07127","snapshot_observed_at":"2026-08-12T19:50:03.145974Z","title":"Universal recovery maps and approximate sufficiency of quantum relative entropy","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2608.10674","last_updated":"2026-08-11T08:55:41Z","snapshot_observed_at":"2026-08-13T19:44:31.767213Z","submitted_at":"2026-08-11T08:55:41Z","title":"Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-12T19:50:03.145974Z"},"links":{"cited_paper":"/paper/1509.07127","citing_paper":"/paper/2608.10674"},"observation_digest":"sha256:82edad433902556a94963cdb17ed70b0dd7fcd2810e004e5ac1d5abe06a96f30","observation_id":"0b0da1ff-8ec5-4d2d-aa68-88305b3983a6","resolution":{"observed_at":"2026-08-12T19:50:03.145974Z","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":"2026-08-12T19:50:03.149996Z","title":"Parallelization, amplification, and exponential time simulation of quantum interactive proof systems","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2608.10674","last_updated":"2026-08-11T08:55:41Z","snapshot_observed_at":"2026-08-13T19:44:31.767213Z","submitted_at":"2026-08-11T08:55:41Z","title":"Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-12T19:50:03.149996Z"},"links":{"citing_paper":"/paper/2608.10674"},"observation_digest":"sha256:49a23539a3d9e333bfe34185d1fdb88d134d9311ad12593533b0d8f8a2f328b0","observation_id":"d36bf342-5be3-404b-be1e-6dc3a9e3d7aa","resolution":{"observed_at":"2026-08-12T19:50:03.149996Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2608.01770","last_updated":"2026-08-03T06:43:01Z","snapshot_observed_at":"2026-08-09T09:11:48.338062Z","submitted_at":"2026-08-03T06:43:01Z","title":"The Sample Complexity of Fidelity Estimation to a Known Rank-$r$ Reference State Is $\\widetilde{\\Theta}(r^2/\\varepsilon^2)$","version":1},"cited_work":{"arxiv_id":"2608.01770","doi":null,"metadata_source":"pith","pith_arxiv_id":"2608.01770","snapshot_observed_at":"2026-08-12T19:50:03.861346Z","title":"The Sample Complexity of Fidelity Estimation to a Known Rank-$r$ Reference State Is $\\widetilde{\\Theta}(r^2/\\varepsilon^2)$","venue":"quant-ph","work_id":"afb82bd0-9862-4d88-96f9-06c772acddd1","year":2026},"citing_paper":{"arxiv_id":"2608.10674","last_updated":"2026-08-11T08:55:41Z","snapshot_observed_at":"2026-08-13T19:44:31.767213Z","submitted_at":"2026-08-11T08:55:41Z","title":"Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-12T19:50:03.154803Z"},"links":{"cited_paper":"/paper/2608.01770","citing_paper":"/paper/2608.10674"},"observation_digest":"sha256:550b8a8f77fe6a94dc78caa4beadc7a47e7069aa8f867327a14e1e3400bbcb03","observation_id":"c9f7e8d0-de92-418c-9230-908ce8713257","resolution":{"observed_at":"2026-08-12T19:50:03.866017Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2512.11597","last_updated":"2026-06-28T07:48:05Z","snapshot_observed_at":"2026-08-05T11:35:31.926537Z","submitted_at":"2025-12-12T14:33:20Z","title":"A slightly improved upper bound for quantum statistical zero-knowledge","version":2},"cited_work":{"arxiv_id":"2512.11597","doi":null,"metadata_source":"pith","pith_arxiv_id":"2512.11597","snapshot_observed_at":"2026-08-12T19:50:03.845415Z","title":"A slightly improved upper bound for quantum statistical zero-knowledge","venue":"quant-ph","work_id":"47069b41-d02a-4ce4-bfe5-eb8f168eb834","year":2025},"citing_paper":{"arxiv_id":"2608.10674","last_updated":"2026-08-11T08:55:41Z","snapshot_observed_at":"2026-08-13T19:44:31.767213Z","submitted_at":"2026-08-11T08:55:41Z","title":"Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-12T19:50:03.159182Z"},"links":{"cited_paper":"/paper/2512.11597","citing_paper":"/paper/2608.10674"},"observation_digest":"sha256:8bf5735352d463280a6537b95df3af63c427f3a01cabc8dd08dc738abdf0b05a","observation_id":"d03a3e0b-8c91-4a19-8e1b-ed4a32070a0c","resolution":{"observed_at":"2026-08-12T19:50:03.849683Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T19:50:03.163838Z","title":"Space-bounded quantum state testing via space-efficient quantum singular value transformation","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.10674","last_updated":"2026-08-11T08:55:41Z","snapshot_observed_at":"2026-08-13T19:44:31.767213Z","submitted_at":"2026-08-11T08:55:41Z","title":"Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-12T19:50:03.163838Z"},"links":{"citing_paper":"/paper/2608.10674"},"observation_digest":"sha256:c9c6c24f56e1ccd4ce4d3ba587012c3677b0f175f4befd4797a5ff70106c8675","observation_id":"e8d82081-3a12-41a5-b075-acb49abc5060","resolution":{"observed_at":"2026-08-12T19:50:03.163838Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2606.23592","last_updated":"2026-06-22T17:01:22Z","snapshot_observed_at":"2026-08-08T05:15:01.903715Z","submitted_at":"2026-06-22T17:01:22Z","title":"Random dimension reduction and learning symmetric properties of quantum states","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2606.23592","snapshot_observed_at":"2026-08-12T19:50:03.168135Z","title":"Random dimension reduction and learning symmetric properties of quantum states","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.10674","last_updated":"2026-08-11T08:55:41Z","snapshot_observed_at":"2026-08-13T19:44:31.767213Z","submitted_at":"2026-08-11T08:55:41Z","title":"Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-12T19:50:03.168135Z"},"links":{"cited_paper":"/paper/2606.23592","citing_paper":"/paper/2608.10674"},"observation_digest":"sha256:998001e41797d84999ecdf49d11a5cbeb78cb58eac1908eb7baeb372289139ce","observation_id":"10554f3f-dced-4015-b85f-496d4b68e4cd","resolution":{"observed_at":"2026-08-12T19:50:03.168135Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/9605044","last_updated":"1997-01-14T21:48:12Z","snapshot_observed_at":"2026-07-07T07:26:17.833366Z","submitted_at":"1996-05-30T20:43:57Z","title":"Unconditionally secure quantum bit commitment is impossible","version":2},"cited_work":{"arxiv_id":"quant-ph/9605044","doi":null,"metadata_source":"pith","pith_arxiv_id":"quant-ph/9605044","snapshot_observed_at":"2026-08-12T19:50:03.816886Z","title":"Unconditionally secure quantum bit commitment is impossible","venue":"quant-ph","work_id":"7f934466-1026-403b-850d-1ec2699b1b0f","year":1996},"citing_paper":{"arxiv_id":"2608.10674","last_updated":"2026-08-11T08:55:41Z","snapshot_observed_at":"2026-08-13T19:44:31.767213Z","submitted_at":"2026-08-11T08:55:41Z","title":"Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-12T19:50:03.172265Z"},"links":{"cited_paper":"/paper/quant-ph/9605044","citing_paper":"/paper/2608.10674"},"observation_digest":"sha256:3f2a14f8cf4209ac77d006f3b2508c1350a9dc94dacb376eb9bb2ce5038f3995","observation_id":"066f86ce-dab8-4485-9719-d9004e6a4f16","resolution":{"observed_at":"2026-08-12T19:50:03.821111Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2301.07730","last_updated":"2023-04-10T17:12:10Z","snapshot_observed_at":"2026-08-13T13:02:18.534086Z","submitted_at":"2023-01-18T19:00:17Z","title":"stateQIP = statePSPACE","version":2},"cited_work":{"arxiv_id":"2301.07730","doi":null,"metadata_source":"pith","pith_arxiv_id":"2301.07730","snapshot_observed_at":"2026-08-12T19:50:03.801285Z","title":"stateQIP = statePSPACE","venue":"quant-ph","work_id":"7dadc4b5-1df7-4250-aa46-03f7981b5db5","year":2023},"citing_paper":{"arxiv_id":"2608.10674","last_updated":"2026-08-11T08:55:41Z","snapshot_observed_at":"2026-08-13T19:44:31.767213Z","submitted_at":"2026-08-11T08:55:41Z","title":"Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-12T19:50:03.176892Z"},"links":{"cited_paper":"/paper/2301.07730","citing_paper":"/paper/2608.10674"},"observation_digest":"sha256:ef2e4f3ded0e401d62c4014f7950a76734a43c62b130bdac688362c375616d4a","observation_id":"81c89a1b-6a99-4a8d-b931-41c8930f78de","resolution":{"observed_at":"2026-08-12T19:50:03.805743Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T19:50:03.181306Z","title":"Nielsen and Isaac L","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2608.10674","last_updated":"2026-08-11T08:55:41Z","snapshot_observed_at":"2026-08-13T19:44:31.767213Z","submitted_at":"2026-08-11T08:55:41Z","title":"Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-12T19:50:03.181306Z"},"links":{"citing_paper":"/paper/2608.10674"},"observation_digest":"sha256:8a69eb21c307af9cf9d2e74c40f273ae2f2cbd38cbdcb7f024731be79e7c4f7d","observation_id":"d4c1d1d6-0e11-4b08-91ba-b7872ffb4ffb","resolution":{"observed_at":"2026-08-12T19:50:03.181306Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/9604023","last_updated":"1996-04-22T22:07:40Z","snapshot_observed_at":"2026-08-02T17:05:51.531326Z","submitted_at":"1996-04-22T22:07:40Z","title":"Sending quantum entanglement through noisy channels","version":1},"cited_work":{"arxiv_id":"quant-ph/9604023","doi":null,"metadata_source":"pith","pith_arxiv_id":"quant-ph/9604023","snapshot_observed_at":"2026-08-12T19:50:03.785282Z","title":"Sending quantum entanglement through noisy channels","venue":"quant-ph","work_id":"9b397328-4c7c-461b-99f6-0fc9631f5c3e","year":1996},"citing_paper":{"arxiv_id":"2608.10674","last_updated":"2026-08-11T08:55:41Z","snapshot_observed_at":"2026-08-13T19:44:31.767213Z","submitted_at":"2026-08-11T08:55:41Z","title":"Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-12T19:50:03.186324Z"},"links":{"cited_paper":"/paper/quant-ph/9604023","citing_paper":"/paper/2608.10674"},"observation_digest":"sha256:8e01d32163eb85334fb4b329a31d9d474d817234e6da36da339d7f4a19c53540","observation_id":"40b722f6-0d95-42b5-a7a1-54af343e1a28","resolution":{"observed_at":"2026-08-12T19:50:03.789602Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/0003004","last_updated":"2000-05-12T19:14:09Z","snapshot_observed_at":"2026-07-07T07:03:04.155442Z","submitted_at":"2000-03-01T19:17:35Z","title":"Simple Proof of Security of the BB84 Quantum Key Distribution Protocol","version":2},"cited_work":{"arxiv_id":"quant-ph/0003004","doi":null,"metadata_source":"pith","pith_arxiv_id":"quant-ph/0003004","snapshot_observed_at":"2026-08-12T19:50:03.769355Z","title":"Simple Proof of Security of the BB84 Quantum Key Distribution Protocol","venue":"quant-ph","work_id":"a7450523-056f-4e0a-9046-22bcb96b45ba","year":2000},"citing_paper":{"arxiv_id":"2608.10674","last_updated":"2026-08-11T08:55:41Z","snapshot_observed_at":"2026-08-13T19:44:31.767213Z","submitted_at":"2026-08-11T08:55:41Z","title":"Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-12T19:50:03.192423Z"},"links":{"cited_paper":"/paper/quant-ph/0003004","citing_paper":"/paper/2608.10674"},"observation_digest":"sha256:18790400140391dad611f66b75706ad5eb774ec6562aca26324c0c7d122eade4","observation_id":"0cd77cd4-b2bb-4507-b99f-73e95742e422","resolution":{"observed_at":"2026-08-12T19:50:03.773710Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1103.4130","last_updated":"2012-10-17T13:43:07Z","snapshot_observed_at":"2026-08-06T19:57:46.670703Z","submitted_at":"2011-03-21T20:00:37Z","title":"Tight Finite-Key Analysis for Quantum Cryptography","version":2},"cited_work":{"arxiv_id":"1103.4130","doi":null,"metadata_source":"pith","pith_arxiv_id":"1103.4130","snapshot_observed_at":"2026-08-12T19:50:03.751700Z","title":"Tight Finite-Key Analysis for Quantum Cryptography","venue":"quant-ph","work_id":"ef841b3c-6721-4815-b397-91221a3c9ff4","year":2011},"citing_paper":{"arxiv_id":"2608.10674","last_updated":"2026-08-11T08:55:41Z","snapshot_observed_at":"2026-08-13T19:44:31.767213Z","submitted_at":"2026-08-11T08:55:41Z","title":"Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-12T19:50:03.197339Z"},"links":{"cited_paper":"/paper/1103.4130","citing_paper":"/paper/2608.10674"},"observation_digest":"sha256:eacf9ab258998d094dc97fa29177a985a08f60b51900eafc4259a93a778f2b80","observation_id":"c8884807-6770-41af-b72f-1302aeea9319","resolution":{"observed_at":"2026-08-12T19:50:03.756086Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2510.07622","last_updated":"2026-05-08T00:12:53Z","snapshot_observed_at":"2026-08-03T02:29:11.348777Z","submitted_at":"2025-10-08T23:44:30Z","title":"Conjugate queries can help","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2510.07622","snapshot_observed_at":"2026-08-12T19:50:03.202302Z","title":"Quantum oracles, weak and strong","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.10674","last_updated":"2026-08-11T08:55:41Z","snapshot_observed_at":"2026-08-13T19:44:31.767213Z","submitted_at":"2026-08-11T08:55:41Z","title":"Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-12T19:50:03.202302Z"},"links":{"cited_paper":"/paper/2510.07622","citing_paper":"/paper/2608.10674"},"observation_digest":"sha256:33488b874bb6e8e037a70dc076803475b63f9cccdd733abdcabf8480548aa006","observation_id":"f8f8dd95-8620-4534-b869-aa8d01de422c","resolution":{"observed_at":"2026-08-12T19:50:03.202302Z","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":"2026-08-12T19:50:03.208072Z","title":"The ``transition probability'' in the state space of A^* -algebra","venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2608.10674","last_updated":"2026-08-11T08:55:41Z","snapshot_observed_at":"2026-08-13T19:44:31.767213Z","submitted_at":"2026-08-11T08:55:41Z","title":"Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-12T19:50:03.208072Z"},"links":{"citing_paper":"/paper/2608.10674"},"observation_digest":"sha256:235c9ac9c0369a1f28480226f0addc61ad3be8697d8f061fa0de71d1b1bf2ef2","observation_id":"0f839fdc-d966-46e6-8e81-0b09083354b8","resolution":{"observed_at":"2026-08-12T19:50:03.208072Z","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":"2026-08-12T19:50:03.212121Z","title":"Quantum algorithms for Uhlmann transformation","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.10674","last_updated":"2026-08-11T08:55:41Z","snapshot_observed_at":"2026-08-13T19:44:31.767213Z","submitted_at":"2026-08-11T08:55:41Z","title":"Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-12T19:50:03.212121Z"},"links":{"citing_paper":"/paper/2608.10674"},"observation_digest":"sha256:79ba1c419e96ebba4825e7e2b8035e1e2fff53a7ffaf761333364876390ac55f","observation_id":"ea3280e1-0248-4ae3-931e-75ad8f3b1fbd","resolution":{"observed_at":"2026-08-12T19:50:03.212121Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2408.16655","last_updated":"2024-08-29T15:59:55Z","snapshot_observed_at":"2026-08-12T22:55:04.713949Z","submitted_at":"2024-08-29T15:59:55Z","title":"Optimal Trace Distance and Fidelity Estimations for Pure Quantum States","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.16655","snapshot_observed_at":"2026-08-12T19:50:03.216953Z","title":"Optimal trace distance and fidelity estimations for pure quantum states","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.10674","last_updated":"2026-08-11T08:55:41Z","snapshot_observed_at":"2026-08-13T19:44:31.767213Z","submitted_at":"2026-08-11T08:55:41Z","title":"Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-12T19:50:03.216953Z"},"links":{"cited_paper":"/paper/2408.16655","citing_paper":"/paper/2608.10674"},"observation_digest":"sha256:63552caf3cc06a69891e76bf45f2a6478aef96107ba4d8742afc702c55878265","observation_id":"ded9f898-20f5-46ad-806b-5900ddb8c51e","resolution":{"observed_at":"2026-08-12T19:50:03.216953Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2606.26034","last_updated":"2026-06-24T17:09:20Z","snapshot_observed_at":"2026-08-13T11:59:16.642238Z","submitted_at":"2026-06-24T17:09:20Z","title":"Estimating Fidelity to a Reference Quantum State","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2606.26034","snapshot_observed_at":"2026-08-12T19:50:03.221031Z","title":"Estimating fidelity to a reference quantum state","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.10674","last_updated":"2026-08-11T08:55:41Z","snapshot_observed_at":"2026-08-13T19:44:31.767213Z","submitted_at":"2026-08-11T08:55:41Z","title":"Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-12T19:50:03.221031Z"},"links":{"cited_paper":"/paper/2606.26034","citing_paper":"/paper/2608.10674"},"observation_digest":"sha256:9c6a2bc9d38060c85dbdc0bb0888c0ddb5f8fa766657f71862f5653a02b2e3f9","observation_id":"30c779a8-8d77-493c-8065-83dbd7f91307","resolution":{"observed_at":"2026-08-12T19:50:03.221031Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2608.02600","last_updated":"2026-08-10T17:38:50Z","snapshot_observed_at":"2026-08-13T19:33:47.494747Z","submitted_at":"2026-08-03T17:59:11Z","title":"A Lower Bound Framework for Quantum Functional Estimation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2608.02600","snapshot_observed_at":"2026-08-12T19:50:03.225431Z","title":"Nearly tight lower bounds for estimating quantum functionals: Uhlmann fidelity, trace distance, and von Neumann entropy","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.10674","last_updated":"2026-08-11T08:55:41Z","snapshot_observed_at":"2026-08-13T19:44:31.767213Z","submitted_at":"2026-08-11T08:55:41Z","title":"Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-12T19:50:03.225431Z"},"links":{"cited_paper":"/paper/2608.02600","citing_paper":"/paper/2608.10674"},"observation_digest":"sha256:475b1b7766d06c36ba8391277279f0f084203466501b0e4405de8fa928bad6bf","observation_id":"42d98d81-72ab-4c9b-a78f-151c75d6d9e1","resolution":{"observed_at":"2026-08-12T19:50:03.225431Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/0202111","last_updated":"2002-02-20T00:54:18Z","snapshot_observed_at":"2026-07-07T07:07:24.986457Z","submitted_at":"2002-02-20T00:54:18Z","title":"Quantum statistical zero-knowledge","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/0202111","snapshot_observed_at":"2026-08-12T19:50:03.230010Z","title":"Limits on the power of quantum statistical zero-knowledge","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2608.10674","last_updated":"2026-08-11T08:55:41Z","snapshot_observed_at":"2026-08-13T19:44:31.767213Z","submitted_at":"2026-08-11T08:55:41Z","title":"Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-12T19:50:03.230010Z"},"links":{"cited_paper":"/paper/quant-ph/0202111","citing_paper":"/paper/2608.10674"},"observation_digest":"sha256:bce7fb5a7d5427409ec539a96c4f8270a7bc4b2bd98e739df810ed3532e07025","observation_id":"6f2313e2-d952-4d01-9ee5-0a5417798b42","resolution":{"observed_at":"2026-08-12T19:50:03.230010Z","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":"2026-08-12T19:50:03.234274Z","title":"Zero-knowledge against quantum attacks","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2608.10674","last_updated":"2026-08-11T08:55:41Z","snapshot_observed_at":"2026-08-13T19:44:31.767213Z","submitted_at":"2026-08-11T08:55:41Z","title":"Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-12T19:50:03.234274Z"},"links":{"citing_paper":"/paper/2608.10674"},"observation_digest":"sha256:96d0aebb0c6a50b393154e37403e77e17dcb01a3a64a7c168c6a1ca0f0a81925","observation_id":"1005d6ba-f047-4e92-ae9d-a3d2feafabdb","resolution":{"observed_at":"2026-08-12T19:50:03.234274Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2203.13522","last_updated":"2024-05-30T14:25:21Z","snapshot_observed_at":"2026-08-13T16:15:30.588980Z","submitted_at":"2022-03-25T09:15:45Z","title":"New Quantum Algorithms for Computing Quantum Entropies and Distances","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2203.13522","snapshot_observed_at":"2026-08-12T19:50:03.238220Z","title":"New quantum algorithms for computing quantum entropies and distances","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.10674","last_updated":"2026-08-11T08:55:41Z","snapshot_observed_at":"2026-08-13T19:44:31.767213Z","submitted_at":"2026-08-11T08:55:41Z","title":"Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-12T19:50:03.238220Z"},"links":{"cited_paper":"/paper/2203.13522","citing_paper":"/paper/2608.10674"},"observation_digest":"sha256:2ff20809c9f2148b7ac6ffd1017be33a335620a2df009591b741f116d3c32fdf","observation_id":"1dfe76e2-2fa4-475c-8058-22707937c4d0","resolution":{"observed_at":"2026-08-12T19:50:03.238220Z","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":"2308.01794","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T19:50:03.585170Z","title":"Quantum lower bounds by sample-to-query lifting","venue":null,"work_id":"f4b11e25-b28f-4533-8587-b51ab4aff539","year":2025},"citing_paper":{"arxiv_id":"2608.10674","last_updated":"2026-08-11T08:55:41Z","snapshot_observed_at":"2026-08-13T19:44:31.767213Z","submitted_at":"2026-08-11T08:55:41Z","title":"Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-12T19:50:03.242743Z"},"links":{"citing_paper":"/paper/2608.10674"},"observation_digest":"sha256:ab44ecf5a916cf2dcb2de10048570b4e59b76c84a75ebebb2c3e346cf922ef92","observation_id":"3ce361ee-82da-4c53-a859-684821517209","resolution":{"observed_at":"2026-08-12T19:50:03.593540Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2401.09947","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T19:50:03.435181Z","title":"Time-efficient quantum entropy estimator via samplizer","venue":null,"work_id":"c34495ee-aae1-40d5-9619-4cc31a72a56a","year":2025},"citing_paper":{"arxiv_id":"2608.10674","last_updated":"2026-08-11T08:55:41Z","snapshot_observed_at":"2026-08-13T19:44:31.767213Z","submitted_at":"2026-08-11T08:55:41Z","title":"Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-12T19:50:03.246968Z"},"links":{"citing_paper":"/paper/2608.10674"},"observation_digest":"sha256:e48a16d021fe70f46f7c0dcffda9f085add998a1bcc5986c2bf3ad087a2d044d","observation_id":"394b2fbb-f559-4a1f-b546-5bb3b587cd97","resolution":{"observed_at":"2026-08-12T19:50:03.446228Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.21201","last_updated":"2026-07-06T15:50:32Z","snapshot_observed_at":"2026-08-12T22:13:36.297927Z","submitted_at":"2024-10-28T16:48:21Z","title":"Sample-Optimal Quantum Estimators for Pure-State Trace Distance and Fidelity via Samplizer","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.21201","snapshot_observed_at":"2026-08-12T19:50:03.252799Z","title":"Sample-optimal quantum estimators for pure-state trace distance and fidelity via samplizer","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.10674","last_updated":"2026-08-11T08:55:41Z","snapshot_observed_at":"2026-08-13T19:44:31.767213Z","submitted_at":"2026-08-11T08:55:41Z","title":"Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-12T19:50:03.252799Z"},"links":{"cited_paper":"/paper/2410.21201","citing_paper":"/paper/2608.10674"},"observation_digest":"sha256:10e171e2fa28fb8a4b6b0567a106cd922c12b967b029925f58f77d097951ded8","observation_id":"643dbf04-8b6d-4681-aed9-d7b898c05500","resolution":{"observed_at":"2026-08-12T19:50:03.252799Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2103.09076","last_updated":"2022-09-29T03:44:45Z","snapshot_observed_at":"2026-08-04T18:09:52.330858Z","submitted_at":"2021-03-16T13:57:01Z","title":"Quantum Algorithm for Fidelity Estimation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2103.09076","snapshot_observed_at":"2026-08-12T19:50:03.257202Z","title":"Quantum algorithm for fidelity estimation","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2608.10674","last_updated":"2026-08-11T08:55:41Z","snapshot_observed_at":"2026-08-13T19:44:31.767213Z","submitted_at":"2026-08-11T08:55:41Z","title":"Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-12T19:50:03.257202Z"},"links":{"cited_paper":"/paper/2103.09076","citing_paper":"/paper/2608.10674"},"observation_digest":"sha256:6724b3aaa06f364e7b5fdb079208e665b99ea5761088f124b0452c15e3ca4bf5","observation_id":"8c8214e9-7ab5-4c62-a66c-93c374f9a71a","resolution":{"observed_at":"2026-08-12T19:50:03.257202Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2608.10674","last_updated":"2026-08-11T08:55:41Z","latest_version":1,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-13T19:44:31.767213Z","submitted_at":"2026-08-11T08:55:41Z","title":"Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform"},"reference_resolution":{"displayed":38,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":28,"verified_exact":10,"verified_fuzzy":0},"total_outbound_references":38},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:2608.10674."}