{"as_of":"2026-08-19T22:48:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:9401d9921045b30ade8e915b2b837b56311f7b5a22e05be00135582c5108b9ca","coverage":[{"denominator":40,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":40,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T16:45:54.319717Z","state":"measured"},{"denominator":40,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":40,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+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/2509.12502/citation-record","integrity":"/paper/2509.12502/integrity","json":"/paper/2509.12502/citation-record.json","paper":"/paper/2509.12502"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2211.09116","last_updated":"2022-11-16T18:58:12Z","snapshot_observed_at":"2026-08-16T16:15:36.546478Z","submitted_at":"2022-11-16T18:58:12Z","title":"Real-time quantum error correction beyond break-even","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2211.09116","snapshot_observed_at":"2026-08-04T16:45:54.152645Z","title":"Real-time quantum error correction beyond break-even","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.12502","last_updated":"2026-06-30T15:32:23Z","snapshot_observed_at":"2026-08-15T09:02:53.798920Z","submitted_at":"2025-09-15T23:09:53Z","title":"Enlarging the GKP stabilizer group for enhanced noise protection","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-04T16:45:54.152645Z"},"links":{"cited_paper":"/paper/2211.09116","citing_paper":"/paper/2509.12502"},"observation_digest":"sha256:f7904d6d1c64c24da7ff1e258601c417178ec57ee1a3544d244e657e6d2ffa6b","observation_id":"7f5310ef-b89c-491b-acfd-d89811a2289c","resolution":{"observed_at":"2026-08-04T16:45:54.152645Z","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":"2026-08-04T16:45:54.158035Z","title":"Autonomous Quantum Er- ror Correction of Gottesman-Kitaev-Preskill States","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.12502","last_updated":"2026-06-30T15:32:23Z","snapshot_observed_at":"2026-08-15T09:02:53.798920Z","submitted_at":"2025-09-15T23:09:53Z","title":"Enlarging the GKP stabilizer group for enhanced noise protection","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-04T16:45:54.158035Z"},"links":{"citing_paper":"/paper/2509.12502"},"observation_digest":"sha256:58127b2d8c6869fba648c6bded7b0af9c7a7cef62a89884918cc61cae0cbecff","observation_id":"2f6a9a4d-dad5-4c02-8c32-eb71c0a09866","resolution":{"observed_at":"2026-08-04T16:45:54.158035Z","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":"2026-08-04T16:45:54.162070Z","title":"Quantum error correction of qudits beyond break-even","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.12502","last_updated":"2026-06-30T15:32:23Z","snapshot_observed_at":"2026-08-15T09:02:53.798920Z","submitted_at":"2025-09-15T23:09:53Z","title":"Enlarging the GKP stabilizer group for enhanced noise protection","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-04T16:45:54.162070Z"},"links":{"citing_paper":"/paper/2509.12502"},"observation_digest":"sha256:735d6edc40e7d0985abe0648c734eecbf0667174fd4612e83bd28591f6ad29f9","observation_id":"1e30555a-28f7-4f46-bc64-733c7406ab9c","resolution":{"observed_at":"2026-08-04T16:45:54.162070Z","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":"2026-08-04T16:45:54.166591Z","title":"Extending the lifetime of a quantum bit with error correction in superconducting circuits","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2509.12502","last_updated":"2026-06-30T15:32:23Z","snapshot_observed_at":"2026-08-15T09:02:53.798920Z","submitted_at":"2025-09-15T23:09:53Z","title":"Enlarging the GKP stabilizer group for enhanced noise protection","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-04T16:45:54.166591Z"},"links":{"citing_paper":"/paper/2509.12502"},"observation_digest":"sha256:3922b670d7de5c1d03139efe8dd1dcdcd3fabc2b4e56cb48c2928f7ae99ef2d0","observation_id":"420eda4f-2888-4599-8c50-5ca303af58df","resolution":{"observed_at":"2026-08-04T16:45:54.166591Z","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":"2026-08-04T16:45:54.170578Z","title":"Logical states for fault-tolerant quantum computation with propagating light","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.12502","last_updated":"2026-06-30T15:32:23Z","snapshot_observed_at":"2026-08-15T09:02:53.798920Z","submitted_at":"2025-09-15T23:09:53Z","title":"Enlarging the GKP stabilizer group for enhanced noise protection","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-04T16:45:54.170578Z"},"links":{"citing_paper":"/paper/2509.12502"},"observation_digest":"sha256:dacc38197cfcca91d37f201c51f934527db38700725855de6e9425c5b08bbe6e","observation_id":"39b7ea91-79b1-4702-b986-03c4c7954b38","resolution":{"observed_at":"2026-08-04T16:45:54.170578Z","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":"2026-08-04T16:45:54.174670Z","title":"Integrated photonic source of Gottesman–Kitaev–Preskill qubits","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.12502","last_updated":"2026-06-30T15:32:23Z","snapshot_observed_at":"2026-08-15T09:02:53.798920Z","submitted_at":"2025-09-15T23:09:53Z","title":"Enlarging the GKP stabilizer group for enhanced noise protection","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-04T16:45:54.174670Z"},"links":{"citing_paper":"/paper/2509.12502"},"observation_digest":"sha256:72fcefa25702422d5fde34619e68d1e74bfca517498bf5003f23fd2d70725c68","observation_id":"607d6f86-d7ec-414b-a892-fe1025189b4e","resolution":{"observed_at":"2026-08-04T16:45:54.174670Z","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":"2026-08-04T16:45:54.179126Z","title":"Error correction of a logical grid state qubit by dissipative pumping","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.12502","last_updated":"2026-06-30T15:32:23Z","snapshot_observed_at":"2026-08-15T09:02:53.798920Z","submitted_at":"2025-09-15T23:09:53Z","title":"Enlarging the GKP stabilizer group for enhanced noise protection","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-04T16:45:54.179126Z"},"links":{"citing_paper":"/paper/2509.12502"},"observation_digest":"sha256:6f738169efd57d4778385520f4f381e2268511d3dd9b483abbaef5a746188c58","observation_id":"27720d04-11b0-425a-8675-d62685782839","resolution":{"observed_at":"2026-08-04T16:45:54.179126Z","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":"2026-08-04T16:45:54.182850Z","title":"Robust and Deterministic Preparation of Bosonic Logical States in a Trapped Ion","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.12502","last_updated":"2026-06-30T15:32:23Z","snapshot_observed_at":"2026-08-15T09:02:53.798920Z","submitted_at":"2025-09-15T23:09:53Z","title":"Enlarging the GKP stabilizer group for enhanced noise protection","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-04T16:45:54.182850Z"},"links":{"citing_paper":"/paper/2509.12502"},"observation_digest":"sha256:9ae3f403ab6b2d88811cb76b3a58a728ad104abff9dea5575012e0c6ec2f897c","observation_id":"a80b1dd1-4c94-42dc-8142-89dc9517ba46","resolution":{"observed_at":"2026-08-04T16:45:54.182850Z","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":"2026-08-04T16:45:54.186829Z","title":"Universal quantum gate set for Gottesman–Kitaev–Preskill logical qubits","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.12502","last_updated":"2026-06-30T15:32:23Z","snapshot_observed_at":"2026-08-15T09:02:53.798920Z","submitted_at":"2025-09-15T23:09:53Z","title":"Enlarging the GKP stabilizer group for enhanced noise protection","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-04T16:45:54.186829Z"},"links":{"citing_paper":"/paper/2509.12502"},"observation_digest":"sha256:8fa6a05534c1213e965460dba438db8a3b2489d0c87428399dfdb1a2f3a30965","observation_id":"65712142-f7d7-4e65-a105-3c899cc25c83","resolution":{"observed_at":"2026-08-04T16:45:54.186829Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/0008040","last_updated":"2001-05-13T00:39:27Z","snapshot_observed_at":"2026-08-03T17:13:30.199266Z","submitted_at":"2000-08-08T18:07:04Z","title":"Encoding a qubit in an oscillator","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/0008040","snapshot_observed_at":"2026-08-04T16:45:54.190601Z","title":"Encoding a qubit in an oscilla- tor","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2509.12502","last_updated":"2026-06-30T15:32:23Z","snapshot_observed_at":"2026-08-15T09:02:53.798920Z","submitted_at":"2025-09-15T23:09:53Z","title":"Enlarging the GKP stabilizer group for enhanced noise protection","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-04T16:45:54.190601Z"},"links":{"cited_paper":"/paper/quant-ph/0008040","citing_paper":"/paper/2509.12502"},"observation_digest":"sha256:5bb29179789272f19b53fc71430d436ff079377448a192058450e70b329bfe3d","observation_id":"04131496-60d2-4d35-a1a2-7e97ebf2775c","resolution":{"observed_at":"2026-08-04T16:45:54.190601Z","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":"2026-08-04T16:45:54.194780Z","title":"Quantum Capacity Bounds of Gaussian Thermal Loss Channels and Achievable Rates With Gottesman-Kitaev- Preskill Codes","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2509.12502","last_updated":"2026-06-30T15:32:23Z","snapshot_observed_at":"2026-08-15T09:02:53.798920Z","submitted_at":"2025-09-15T23:09:53Z","title":"Enlarging the GKP stabilizer group for enhanced noise protection","version":3},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-04T16:45:54.194780Z"},"links":{"citing_paper":"/paper/2509.12502"},"observation_digest":"sha256:7f6cbaba575b4c5c714d8dfa9c68df8b8bdc5bfd20d917551b5db048405447f4","observation_id":"fd076372-ac2c-46b9-b5a0-243331a85621","resolution":{"observed_at":"2026-08-04T16:45:54.194780Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2205.00341","last_updated":"2022-09-24T12:43:36Z","snapshot_observed_at":"2026-08-16T17:03:27.280393Z","submitted_at":"2022-04-30T20:44:11Z","title":"Quantum capacity and codes for the bosonic loss-dephasing channel","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2205.00341","snapshot_observed_at":"2026-08-04T16:45:54.198982Z","title":"Quantum capac- ity and codes for the bosonic loss-dephasing channel","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.12502","last_updated":"2026-06-30T15:32:23Z","snapshot_observed_at":"2026-08-15T09:02:53.798920Z","submitted_at":"2025-09-15T23:09:53Z","title":"Enlarging the GKP stabilizer group for enhanced noise protection","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-04T16:45:54.198982Z"},"links":{"cited_paper":"/paper/2205.00341","citing_paper":"/paper/2509.12502"},"observation_digest":"sha256:269f2e5b4fcb5839c6561359585c4aadc390c3be4ed3c9f5ae53c708df84ba45","observation_id":"1df38783-abb7-44b8-9576-dbb2368a2b14","resolution":{"observed_at":"2026-08-04T16:45:54.198982Z","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":"2026-08-04T16:45:54.203821Z","title":"Universal quantum computation with ideal Clifford gates and noisy ancillas","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2509.12502","last_updated":"2026-06-30T15:32:23Z","snapshot_observed_at":"2026-08-15T09:02:53.798920Z","submitted_at":"2025-09-15T23:09:53Z","title":"Enlarging the GKP stabilizer group for enhanced noise protection","version":3},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-04T16:45:54.203821Z"},"links":{"citing_paper":"/paper/2509.12502"},"observation_digest":"sha256:3a4bfa417a8ae4f8a7f73f99435a0f780a7cd1bf4ef0677e551acf235d514cf7","observation_id":"5517f802-2a94-401a-99ae-b5aa9fa66740","resolution":{"observed_at":"2026-08-04T16:45:54.203821Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2009.07941","last_updated":"2020-09-16T21:19:10Z","snapshot_observed_at":"2026-08-07T03:21:18.983407Z","submitted_at":"2020-09-16T21:19:10Z","title":"Stabilization of Finite-Energy Gottesman-Kitaev-Preskill States","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2009.07941","snapshot_observed_at":"2026-08-04T16:45:54.207974Z","title":"Stabilization of Finite-Energy Gottesman-Kitaev-Preskill States","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2509.12502","last_updated":"2026-06-30T15:32:23Z","snapshot_observed_at":"2026-08-15T09:02:53.798920Z","submitted_at":"2025-09-15T23:09:53Z","title":"Enlarging the GKP stabilizer group for enhanced noise protection","version":3},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-04T16:45:54.207974Z"},"links":{"cited_paper":"/paper/2009.07941","citing_paper":"/paper/2509.12502"},"observation_digest":"sha256:d4ef8fcda7f8f6b2bbd93dc72b41741168c08e825b9ccf79300347c64d038820","observation_id":"0106e850-0471-455f-9f2c-aac24df55c71","resolution":{"observed_at":"2026-08-04T16:45:54.207974Z","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":"2026-08-04T16:45:54.212502Z","title":"Progress towards practical qubit computation using approximate Gottesman-Kitaev- Preskill codes","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2509.12502","last_updated":"2026-06-30T15:32:23Z","snapshot_observed_at":"2026-08-15T09:02:53.798920Z","submitted_at":"2025-09-15T23:09:53Z","title":"Enlarging the GKP stabilizer group for enhanced noise protection","version":3},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-04T16:45:54.212502Z"},"links":{"citing_paper":"/paper/2509.12502"},"observation_digest":"sha256:17882cab6ada641fb301ac4be4cce064b02c726492f3f4db878858203956fcc9","observation_id":"f6cb5ac6-6ea0-4aab-bfe5-4120efdf514c","resolution":{"observed_at":"2026-08-04T16:45:54.212502Z","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":"2026-08-04T16:45:54.216613Z","title":"Achievable rates for the Gaussian quantum chan- nel","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2509.12502","last_updated":"2026-06-30T15:32:23Z","snapshot_observed_at":"2026-08-15T09:02:53.798920Z","submitted_at":"2025-09-15T23:09:53Z","title":"Enlarging the GKP stabilizer group for enhanced noise protection","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-04T16:45:54.216613Z"},"links":{"citing_paper":"/paper/2509.12502"},"observation_digest":"sha256:7e810249aef4d507ca82ecfa7d0d629b5f870af49ee10b8cb59f2a8aefb6a392","observation_id":"b146fe2a-2934-4da2-82dc-de99e0e9269d","resolution":{"observed_at":"2026-08-04T16:45:54.216613Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2109.14645","last_updated":"2022-02-08T16:21:36Z","snapshot_observed_at":"2026-08-16T17:53:00.406344Z","submitted_at":"2021-09-29T18:08:37Z","title":"Gottesman-Kitaev-Preskill codes: A lattice perspective","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2109.14645","snapshot_observed_at":"2026-08-04T16:45:54.220702Z","title":"Gottesman-Kitaev-Preskill codes: A lattice perspective","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.12502","last_updated":"2026-06-30T15:32:23Z","snapshot_observed_at":"2026-08-15T09:02:53.798920Z","submitted_at":"2025-09-15T23:09:53Z","title":"Enlarging the GKP stabilizer group for enhanced noise protection","version":3},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-04T16:45:54.220702Z"},"links":{"cited_paper":"/paper/2109.14645","citing_paper":"/paper/2509.12502"},"observation_digest":"sha256:a8fa164a5a795f9b7753a19f8fdde1c617b71f8612f3e25fdc3fdd4f949e4d32","observation_id":"10c59bf7-c434-45d2-bba9-bc6319bd3da8","resolution":{"observed_at":"2026-08-04T16:45:54.220702Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2201.12337","last_updated":"2022-02-07T16:06:33Z","snapshot_observed_at":"2026-08-16T17:25:08.994029Z","submitted_at":"2022-01-28T18:58:21Z","title":"Encoding qubits in multimode grid states","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2201.12337","snapshot_observed_at":"2026-08-04T16:45:54.225948Z","title":"Encoding qubits in multi- mode grid states","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.12502","last_updated":"2026-06-30T15:32:23Z","snapshot_observed_at":"2026-08-15T09:02:53.798920Z","submitted_at":"2025-09-15T23:09:53Z","title":"Enlarging the GKP stabilizer group for enhanced noise protection","version":3},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-04T16:45:54.225948Z"},"links":{"cited_paper":"/paper/2201.12337","citing_paper":"/paper/2509.12502"},"observation_digest":"sha256:9339eeedca02bf2e7ab4f01e2f05d1ac6bcd262743ab891cfd63b0adb885e085","observation_id":"455486e7-88fc-4902-8621-d36573b6e8ed","resolution":{"observed_at":"2026-08-04T16:45:54.225948Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/9705052","last_updated":"1997-05-28T23:51:29Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"1997-05-28T23:51:29Z","title":"Stabilizer Codes and Quantum Error Correction","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/9705052","snapshot_observed_at":"2026-08-04T16:45:54.230711Z","title":"Stabilizer Codes and Quantum Error Correction, Caltech Ph.D. thesis","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2509.12502","last_updated":"2026-06-30T15:32:23Z","snapshot_observed_at":"2026-08-15T09:02:53.798920Z","submitted_at":"2025-09-15T23:09:53Z","title":"Enlarging the GKP stabilizer group for enhanced noise protection","version":3},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-04T16:45:54.230711Z"},"links":{"cited_paper":"/paper/quant-ph/9705052","citing_paper":"/paper/2509.12502"},"observation_digest":"sha256:8260679b8990ae2cd4c336eaacc8430b995c394fab66952a1cd619f956a91902","observation_id":"7fc4e99f-0150-42b9-b947-45dc060129c9","resolution":{"observed_at":"2026-08-04T16:45:54.230711Z","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":"2026-08-04T16:45:54.234900Z","title":"A non-commuting stabilizer formalism","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2509.12502","last_updated":"2026-06-30T15:32:23Z","snapshot_observed_at":"2026-08-15T09:02:53.798920Z","submitted_at":"2025-09-15T23:09:53Z","title":"Enlarging the GKP stabilizer group for enhanced noise protection","version":3},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-04T16:45:54.234900Z"},"links":{"citing_paper":"/paper/2509.12502"},"observation_digest":"sha256:32d49b298fc68fee916e327c03e0d0baf78e99d11ae373268367a24ad9ca9e09","observation_id":"26128528-c781-48a9-837d-c2f90d6fe134","resolution":{"observed_at":"2026-08-04T16:45:54.234900Z","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":"2026-08-04T16:45:54.238859Z","title":"The XP Stabiliser Formalism: AGeneralisationofthePauliStabiliserFormalismwithArbitraryPhases","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.12502","last_updated":"2026-06-30T15:32:23Z","snapshot_observed_at":"2026-08-15T09:02:53.798920Z","submitted_at":"2025-09-15T23:09:53Z","title":"Enlarging the GKP stabilizer group for enhanced noise protection","version":3},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-04T16:45:54.238859Z"},"links":{"citing_paper":"/paper/2509.12502"},"observation_digest":"sha256:c9b92fab432d53cd1285bd1bb87a4a1d3f2040caf0ce37733193ba81337025ca","observation_id":"25e00f83-df02-44a0-8be3-94f877cdce1a","resolution":{"observed_at":"2026-08-04T16:45:54.238859Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2507.09684","last_updated":"2025-07-13T15:43:43Z","snapshot_observed_at":"2026-08-16T13:35:47.482615Z","submitted_at":"2025-07-13T15:43:43Z","title":"Using a Kerr interaction for GKP magic state preparation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2507.09684","snapshot_observed_at":"2026-08-04T16:45:54.242946Z","title":"Using a Kerr interaction for GKP magic state preparation","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.12502","last_updated":"2026-06-30T15:32:23Z","snapshot_observed_at":"2026-08-15T09:02:53.798920Z","submitted_at":"2025-09-15T23:09:53Z","title":"Enlarging the GKP stabilizer group for enhanced noise protection","version":3},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-04T16:45:54.242946Z"},"links":{"cited_paper":"/paper/2507.09684","citing_paper":"/paper/2509.12502"},"observation_digest":"sha256:0d7856d33947e22d725b940daba6be4ebc7d2ed264000340491a55e4e482eea3","observation_id":"e2cbcee6-3cb8-4b6d-91cd-3e31334b28c4","resolution":{"observed_at":"2026-08-04T16:45:54.242946Z","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":"2026-08-04T16:45:54.247023Z","title":"Logical Clifford Synthesis for Stabilizer Codes","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2509.12502","last_updated":"2026-06-30T15:32:23Z","snapshot_observed_at":"2026-08-15T09:02:53.798920Z","submitted_at":"2025-09-15T23:09:53Z","title":"Enlarging the GKP stabilizer group for enhanced noise protection","version":3},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-04T16:45:54.247023Z"},"links":{"citing_paper":"/paper/2509.12502"},"observation_digest":"sha256:a3e3f2899654e1bda45eeaafec4641d4f23ffc87dc522e64a5aca60d4f90bf44","observation_id":"5a393419-1591-4b41-adfe-2123c215fda3","resolution":{"observed_at":"2026-08-04T16:45:54.247023Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2505.20261","last_updated":"2025-05-26T17:40:52Z","snapshot_observed_at":"2026-08-19T22:22:39.273925Z","submitted_at":"2025-05-26T17:40:52Z","title":"Hardware-tailored logical Clifford circuits for stabilizer codes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.20261","snapshot_observed_at":"2026-08-04T16:45:54.250880Z","title":"Hardware-tailored logical Clifford circuits for stabilizer codes","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.12502","last_updated":"2026-06-30T15:32:23Z","snapshot_observed_at":"2026-08-15T09:02:53.798920Z","submitted_at":"2025-09-15T23:09:53Z","title":"Enlarging the GKP stabilizer group for enhanced noise protection","version":3},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-04T16:45:54.250880Z"},"links":{"cited_paper":"/paper/2505.20261","citing_paper":"/paper/2509.12502"},"observation_digest":"sha256:b1f1f409343c3f63327051b67e48022f49d674d14082ef00da06f0fe9ccac5de","observation_id":"77e9a01d-2bc4-4b1f-8bcc-215019ff4886","resolution":{"observed_at":"2026-08-04T16:45:54.250880Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.03270","last_updated":"2024-07-10T08:06:26Z","snapshot_observed_at":"2026-08-16T13:37:18.890354Z","submitted_at":"2024-07-03T16:57:53Z","title":"Lattices, Gates, and Curves: GKP codes as a Rosetta stone","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.03270","snapshot_observed_at":"2026-08-04T16:45:54.254850Z","title":"Lattices, Gates, and Curves: GKP codes as a Rosetta stone","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.12502","last_updated":"2026-06-30T15:32:23Z","snapshot_observed_at":"2026-08-15T09:02:53.798920Z","submitted_at":"2025-09-15T23:09:53Z","title":"Enlarging the GKP stabilizer group for enhanced noise protection","version":3},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-04T16:45:54.254850Z"},"links":{"cited_paper":"/paper/2407.03270","citing_paper":"/paper/2509.12502"},"observation_digest":"sha256:bcdd3f6bb8a150bcf0d07187ae1a92bff0a7587491f4d80039bfbb986de3495f","observation_id":"a6d628c2-a179-43d6-aa15-9042af27a1f2","resolution":{"observed_at":"2026-08-04T16:45:54.254850Z","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":"2026-08-04T16:45:54.259360Z","title":"Closest Lattice Point Decoding for Multimode Gottesman-Kitaev-Preskill Codes","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.12502","last_updated":"2026-06-30T15:32:23Z","snapshot_observed_at":"2026-08-15T09:02:53.798920Z","submitted_at":"2025-09-15T23:09:53Z","title":"Enlarging the GKP stabilizer group for enhanced noise protection","version":3},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-04T16:45:54.259360Z"},"links":{"citing_paper":"/paper/2509.12502"},"observation_digest":"sha256:a3a1c0b00c385299e0e87a397e809fd4d31a63d024ce35bce8f163c069a76558","observation_id":"b16ca081-e96b-439d-80d4-04fd45b23a43","resolution":{"observed_at":"2026-08-04T16:45:54.259360Z","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":"2026-08-04T16:45:54.263518Z","title":"Gaussian quantum information","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2509.12502","last_updated":"2026-06-30T15:32:23Z","snapshot_observed_at":"2026-08-15T09:02:53.798920Z","submitted_at":"2025-09-15T23:09:53Z","title":"Enlarging the GKP stabilizer group for enhanced noise protection","version":3},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-04T16:45:54.263518Z"},"links":{"citing_paper":"/paper/2509.12502"},"observation_digest":"sha256:ce1481f58909383249bbe5d4922f5f304bcbc698f2a5d9912c3c4f96dd7e3c64","observation_id":"847fc6f0-2557-47c1-b855-69721251bb18","resolution":{"observed_at":"2026-08-04T16:45:54.263518Z","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":"2026-08-04T16:45:54.267543Z","title":"Matrix decompositions in quantum optics: Takagi/Autonne, Bloch–Messiah/Euler, Iwasawa, and Williamson","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.12502","last_updated":"2026-06-30T15:32:23Z","snapshot_observed_at":"2026-08-15T09:02:53.798920Z","submitted_at":"2025-09-15T23:09:53Z","title":"Enlarging the GKP stabilizer group for enhanced noise protection","version":3},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-04T16:45:54.267543Z"},"links":{"citing_paper":"/paper/2509.12502"},"observation_digest":"sha256:bc870c1193da0c1fb641c94306e604b84ac432dd3d859177a0fd773f520cc63b","observation_id":"ad588013-7a19-46ff-820a-875db6efb5c0","resolution":{"observed_at":"2026-08-04T16:45:54.267543Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1803.04647","last_updated":"2018-03-13T06:29:55Z","snapshot_observed_at":"2026-08-16T00:54:01.914238Z","submitted_at":"2018-03-13T06:29:55Z","title":"On symplectic eigenvalues of positive definite matrices","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1803.04647","snapshot_observed_at":"2026-08-04T16:45:54.271249Z","title":"On symplectic eigenvalues of positive definite ma- trices","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2509.12502","last_updated":"2026-06-30T15:32:23Z","snapshot_observed_at":"2026-08-15T09:02:53.798920Z","submitted_at":"2025-09-15T23:09:53Z","title":"Enlarging the GKP stabilizer group for enhanced noise protection","version":3},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-04T16:45:54.271249Z"},"links":{"cited_paper":"/paper/1803.04647","citing_paper":"/paper/2509.12502"},"observation_digest":"sha256:3f4f5a832ea939a7020563b68984eb704906e10ed69994e41fe5aeb85d0746cb","observation_id":"d72f4dec-4e61-4ceb-89ad-f13c114382e6","resolution":{"observed_at":"2026-08-04T16:45:54.271249Z","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":"2026-08-04T16:45:54.275338Z","title":"A Metric for Covariance Matrices","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2509.12502","last_updated":"2026-06-30T15:32:23Z","snapshot_observed_at":"2026-08-15T09:02:53.798920Z","submitted_at":"2025-09-15T23:09:53Z","title":"Enlarging the GKP stabilizer group for enhanced noise protection","version":3},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-04T16:45:54.275338Z"},"links":{"citing_paper":"/paper/2509.12502"},"observation_digest":"sha256:dffd8472feea65ca443f9f2b36f904b94ca4733d4c19fa141965027e5890f67c","observation_id":"0b6946ae-392e-4a89-85ab-a47569a3ee8a","resolution":{"observed_at":"2026-08-04T16:45:54.275338Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1702.03688","last_updated":"2017-02-13T09:48:24Z","snapshot_observed_at":"2026-08-14T21:16:47.868312Z","submitted_at":"2017-02-13T09:48:24Z","title":"Logical Randomized Benchmarking","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1702.03688","snapshot_observed_at":"2026-08-04T16:45:54.279060Z","title":"Logical Randomized Benchmarking","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2509.12502","last_updated":"2026-06-30T15:32:23Z","snapshot_observed_at":"2026-08-15T09:02:53.798920Z","submitted_at":"2025-09-15T23:09:53Z","title":"Enlarging the GKP stabilizer group for enhanced noise protection","version":3},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-04T16:45:54.279060Z"},"links":{"cited_paper":"/paper/1702.03688","citing_paper":"/paper/2509.12502"},"observation_digest":"sha256:8231a75bade7ebe54d9e9002530e33305cca68d6695cd607d7808538f67b526f","observation_id":"2687af10-297c-4d8c-85ff-db30eb864b2f","resolution":{"observed_at":"2026-08-04T16:45:54.279060Z","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":"2026-08-04T16:45:54.283499Z","title":"Scalable noise estimation with random unitary operators","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2509.12502","last_updated":"2026-06-30T15:32:23Z","snapshot_observed_at":"2026-08-15T09:02:53.798920Z","submitted_at":"2025-09-15T23:09:53Z","title":"Enlarging the GKP stabilizer group for enhanced noise protection","version":3},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-04T16:45:54.283499Z"},"links":{"citing_paper":"/paper/2509.12502"},"observation_digest":"sha256:1ed7387ab58c6c6b3a95bbe5eee26e7f36786547c1cf0603de57b41fb6c0dda5","observation_id":"998f9340-3894-4269-a7fd-959bd7ec27d9","resolution":{"observed_at":"2026-08-04T16:45:54.283499Z","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":"2026-08-04T16:45:54.287791Z","title":"Randomized benchmarking of quantum gates","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2509.12502","last_updated":"2026-06-30T15:32:23Z","snapshot_observed_at":"2026-08-15T09:02:53.798920Z","submitted_at":"2025-09-15T23:09:53Z","title":"Enlarging the GKP stabilizer group for enhanced noise protection","version":3},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-04T16:45:54.287791Z"},"links":{"citing_paper":"/paper/2509.12502"},"observation_digest":"sha256:42edab2ec84cbf23a9f4c265ce9aecd9c62ad5ab5baf5234ac32b88bb028a418","observation_id":"a59410f5-45af-471a-80a4-89c65dbe48bb","resolution":{"observed_at":"2026-08-04T16:45:54.287791Z","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":"2026-08-04T16:45:54.291540Z","title":"General Framework for Randomized Benchmarking","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.12502","last_updated":"2026-06-30T15:32:23Z","snapshot_observed_at":"2026-08-15T09:02:53.798920Z","submitted_at":"2025-09-15T23:09:53Z","title":"Enlarging the GKP stabilizer group for enhanced noise protection","version":3},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-04T16:45:54.291540Z"},"links":{"citing_paper":"/paper/2509.12502"},"observation_digest":"sha256:c6080868f0bb78a5e2627f6422b8964e90bea8d91d1f2668c383f53cd50d1fa1","observation_id":"34bfd5fb-c604-4e06-9cd1-ddb7865c850d","resolution":{"observed_at":"2026-08-04T16:45:54.291540Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2212.05488","last_updated":"2022-12-11T12:30:27Z","snapshot_observed_at":"2026-08-16T16:09:29.940631Z","submitted_at":"2022-12-11T12:30:27Z","title":"Non-Exponential Behaviour in Logical Randomized Benchmarking","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2212.05488","snapshot_observed_at":"2026-08-04T16:45:54.295559Z","title":"Non-Exponential Behaviour in Logical Randomized Benchmarking","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.12502","last_updated":"2026-06-30T15:32:23Z","snapshot_observed_at":"2026-08-15T09:02:53.798920Z","submitted_at":"2025-09-15T23:09:53Z","title":"Enlarging the GKP stabilizer group for enhanced noise protection","version":3},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-04T16:45:54.295559Z"},"links":{"cited_paper":"/paper/2212.05488","citing_paper":"/paper/2509.12502"},"observation_digest":"sha256:a43a4635bb3ac7a165d7df7ac377b894836752fac8c6e31e7455aeef7a00f8f2","observation_id":"3e27d9c0-8efd-4a47-940f-a65550a8d052","resolution":{"observed_at":"2026-08-04T16:45:54.295559Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2103.05530","last_updated":"2021-03-09T16:16:24Z","snapshot_observed_at":"2026-08-19T20:17:21.176849Z","submitted_at":"2021-03-09T16:16:24Z","title":"Fast simulation of bosonic qubits via Gaussian functions in phase space","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2103.05530","snapshot_observed_at":"2026-08-04T16:45:54.300126Z","title":"Fast sim- ulation of bosonic qubits via Gaussian functions in phase space","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2509.12502","last_updated":"2026-06-30T15:32:23Z","snapshot_observed_at":"2026-08-15T09:02:53.798920Z","submitted_at":"2025-09-15T23:09:53Z","title":"Enlarging the GKP stabilizer group for enhanced noise protection","version":3},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-04T16:45:54.300126Z"},"links":{"cited_paper":"/paper/2103.05530","citing_paper":"/paper/2509.12502"},"observation_digest":"sha256:c7e5f69b88c6afeca4a74db3414f6baabc6900b9e04f971244abfcd1a04028a1","observation_id":"f82c9ec5-0542-45cf-8c2a-ff5c86c39f3f","resolution":{"observed_at":"2026-08-04T16:45:54.300126Z","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":"2026-08-04T16:45:54.304294Z","title":"Low- Overhead Fault-Tolerant Quantum Error Correction with the Surface-GKP Code","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.12502","last_updated":"2026-06-30T15:32:23Z","snapshot_observed_at":"2026-08-15T09:02:53.798920Z","submitted_at":"2025-09-15T23:09:53Z","title":"Enlarging the GKP stabilizer group for enhanced noise protection","version":3},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-04T16:45:54.304294Z"},"links":{"citing_paper":"/paper/2509.12502"},"observation_digest":"sha256:081455adc68aa07070372b31f794d47cb718aebd0b043b6e65a1daabc28ab75b","observation_id":"bd22af6b-7e0f-4d83-94e1-967b1b9bcdc2","resolution":{"observed_at":"2026-08-04T16:45:54.304294Z","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":"2026-08-04T16:45:54.308291Z","title":"Tata Lectures on Theta I","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2509.12502","last_updated":"2026-06-30T15:32:23Z","snapshot_observed_at":"2026-08-15T09:02:53.798920Z","submitted_at":"2025-09-15T23:09:53Z","title":"Enlarging the GKP stabilizer group for enhanced noise protection","version":3},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-04T16:45:54.308291Z"},"links":{"citing_paper":"/paper/2509.12502"},"observation_digest":"sha256:7083540a4a756aadcb27d66eb709e0a96e81992c6e72d10c30834b9b361ef684","observation_id":"6e489c85-a9e1-4bfb-86d6-2f8fff82b888","resolution":{"observed_at":"2026-08-04T16:45:54.308291Z","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":"2026-08-04T16:45:54.314692Z","title":"FormulationofQuantumMechanicsBasedontheQuasi-Probability Distribution Induced on Phase Space","venue":null,"work_id":null,"year":1958},"citing_paper":{"arxiv_id":"2509.12502","last_updated":"2026-06-30T15:32:23Z","snapshot_observed_at":"2026-08-15T09:02:53.798920Z","submitted_at":"2025-09-15T23:09:53Z","title":"Enlarging the GKP stabilizer group for enhanced noise protection","version":3},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-04T16:45:54.314692Z"},"links":{"citing_paper":"/paper/2509.12502"},"observation_digest":"sha256:a7cff7f6d7518517a4bb68013d7cf65ed956a7d52f3b8f2ac0cfcbc08bf2ea8a","observation_id":"0355b54b-ce79-4381-a9c0-02b6013d6010","resolution":{"observed_at":"2026-08-04T16:45:54.314692Z","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":"2026-08-04T16:45:54.319717Z","title":"Statistical Methods in Quantum Optics 1","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2509.12502","last_updated":"2026-06-30T15:32:23Z","snapshot_observed_at":"2026-08-15T09:02:53.798920Z","submitted_at":"2025-09-15T23:09:53Z","title":"Enlarging the GKP stabilizer group for enhanced noise protection","version":3},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-04T16:45:54.319717Z"},"links":{"citing_paper":"/paper/2509.12502"},"observation_digest":"sha256:353732d3f43146aac824bb09f9ed6cc5bc63d729a0a8660e86190fbf92dc6a21","observation_id":"63938928-c38f-4d13-a985-94480fa0d36c","resolution":{"observed_at":"2026-08-04T16:45:54.319717Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2509.12502","last_updated":"2026-06-30T15:32:23Z","latest_version":3,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-15T09:02:53.798920Z","submitted_at":"2025-09-15T23:09:53Z","title":"Enlarging the GKP stabilizer group for enhanced noise protection"},"reference_resolution":{"displayed":40,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":40,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":40},"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":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2509.12502."}