{"as_of":"2026-08-15T15:19:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:321ce93428fb1cab3a9f9ffca2469edcdfa4ef16d1d8fbfc0763f98554ae13dd","coverage":[{"denominator":67,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":67,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T18:15:35.016492Z","state":"measured"},{"denominator":74,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":74,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+00:00","state":"measured"},{"denominator":7,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":7,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T21:47:41.778624Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-07-09T12:36:13.870033Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2508.15170","snapshot_observed_at":"2026-08-04T21:47:41.778624Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.08030","last_updated":"2025-09-09T14:54:52Z","snapshot_observed_at":"2026-08-07T17:05:28.554721Z","submitted_at":"2025-09-09T14:54:52Z","title":"Circuit-Efficient Randomized Quantum Simulation of Non-Unitary Dynamics with Observable-Driven and Symmetry-Aware Designs","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-04T21:47:41.778624Z"},"links":{"cited_paper":"/paper/2508.15170","citing_paper":"/paper/2509.08030"},"observation_digest":"sha256:77c0420cc7ba6b33a99f94de339a1304b23d712d6ee4e0ce8a745d667a6a13c2","observation_id":"343a5822-9d2f-440e-94fe-620372442a58","resolution":{"observed_at":"2026-08-04T21:47:41.778624Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"cited_work":{"arxiv_id":"2508.15170","doi":null,"metadata_source":"pith","pith_arxiv_id":"2508.15170","snapshot_observed_at":"2026-07-09T12:36:13.870033Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","venue":"quant-ph","work_id":"144361f0-1a73-4619-94f8-53a9b4743b9e","year":2025},"citing_paper":{"arxiv_id":"2511.10267","last_updated":"2026-06-24T07:15:20Z","snapshot_observed_at":"2026-08-13T19:23:23.585175Z","submitted_at":"2025-11-13T12:52:52Z","title":"Quantum Simulation of Non-Hermitian Special Functions and Dynamics via Contour-based Matrix Decomposition","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-17T22:34:36.961456Z"},"links":{"cited_paper":"/paper/2508.15170","citing_paper":"/paper/2511.10267"},"observation_digest":"sha256:f75f43c8b9b3b0e549d6067df3e380d214132ce5d9946c97a770c278b43ab0a5","observation_id":"cfbbaf35-9c95-42f5-9d26-bf337469dd4c","resolution":{"observed_at":"2026-05-17T22:35:25.054258Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2508.15170","snapshot_observed_at":"2026-08-03T22:39:58.861225Z","title":"https://arxiv.org/abs/2508.15170","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.10267","last_updated":"2026-06-24T07:15:20Z","snapshot_observed_at":"2026-08-13T19:23:23.585175Z","submitted_at":"2025-11-13T12:52:52Z","title":"Quantum Simulation of Non-Hermitian Special Functions and Dynamics via Contour-based Matrix Decomposition","version":3},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-03T22:39:58.861225Z"},"links":{"cited_paper":"/paper/2508.15170","citing_paper":"/paper/2511.10267"},"observation_digest":"sha256:67079f6b553b60ee0b61d5b8b6d1a6c1ed8a95492b7f5a9a3747a127cb75188f","observation_id":"734a847b-aa87-41a8-b3f6-5921d81ab772","resolution":{"observed_at":"2026-08-03T22:39:58.861225Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2508.15170","snapshot_observed_at":"2026-08-03T12:31:26.994612Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2601.03616","last_updated":"2026-06-27T17:43:41Z","snapshot_observed_at":"2026-08-13T19:38:20.164751Z","submitted_at":"2026-01-07T05:47:22Z","title":"Transmutation based Quantum Simulation for Non-unitary Dynamics","version":2},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-03T12:31:26.994612Z"},"links":{"cited_paper":"/paper/2508.15170","citing_paper":"/paper/2601.03616"},"observation_digest":"sha256:7fb1e35edaad05b6b58762b8cbf6ba9f2d21a94b8911269368c0fbf900bafe70","observation_id":"af7cda2d-3e33-4288-bb14-de639b7b5bca","resolution":{"observed_at":"2026-08-03T12:31:26.994612Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"cited_work":{"arxiv_id":"2508.15170","doi":null,"metadata_source":"pith","pith_arxiv_id":"2508.15170","snapshot_observed_at":"2026-07-09T12:36:13.870033Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","venue":"quant-ph","work_id":"144361f0-1a73-4619-94f8-53a9b4743b9e","year":2025},"citing_paper":{"arxiv_id":"2605.16195","last_updated":"2026-05-15T17:11:07Z","snapshot_observed_at":"2026-08-11T09:58:41.202841Z","submitted_at":"2026-05-15T17:11:07Z","title":"Efficient quantum algorithm for linear matrix differential equations and applications to open quantum systems","version":1},"reference_index":116,"source":"arxiv_source","source_observed_at":"2026-05-20T17:55:26.673134Z"},"links":{"cited_paper":"/paper/2508.15170","citing_paper":"/paper/2605.16195"},"observation_digest":"sha256:b79e1106b0bc3f091ea645f6d8d319444f3f5496e50b8ea96c82d3684743aeae","observation_id":"4d55dc6e-fc18-4973-beea-cf5579cfc73b","resolution":{"observed_at":"2026-05-20T17:58:49.959079Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"cited_work":{"arxiv_id":"2508.15170","doi":null,"metadata_source":"pith","pith_arxiv_id":"2508.15170","snapshot_observed_at":"2026-07-09T12:36:13.870033Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","venue":"quant-ph","work_id":"144361f0-1a73-4619-94f8-53a9b4743b9e","year":2025},"citing_paper":{"arxiv_id":"2605.20071","last_updated":"2026-05-19T16:26:02Z","snapshot_observed_at":"2026-08-13T23:12:26.866495Z","submitted_at":"2026-05-19T16:26:02Z","title":"Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-05-20T05:15:00.472235Z"},"links":{"cited_paper":"/paper/2508.15170","citing_paper":"/paper/2605.20071"},"observation_digest":"sha256:a6a7ef4804d30d30844dba060629693eeb3aaf67e27f71fc7307f3b37a10b209","observation_id":"4d8b98cd-587e-4988-b35e-07ac013ae53d","resolution":{"observed_at":"2026-05-20T05:18:03.226983Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"cited_work":{"arxiv_id":"2508.15170","doi":null,"metadata_source":"pith","pith_arxiv_id":"2508.15170","snapshot_observed_at":"2026-07-09T12:36:13.870033Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","venue":"quant-ph","work_id":"144361f0-1a73-4619-94f8-53a9b4743b9e","year":2025},"citing_paper":{"arxiv_id":"2607.07389","last_updated":"2026-07-08T13:20:43Z","snapshot_observed_at":"2026-08-15T14:59:37.319842Z","submitted_at":"2026-07-08T13:20:43Z","title":"Circuit Depth Reduction of One-Ancilla Quantum Differential Equation Solver via Extrapolation","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-09T12:34:00.375655Z"},"links":{"cited_paper":"/paper/2508.15170","citing_paper":"/paper/2607.07389"},"observation_digest":"sha256:44a13f940763a7fa17d05a8fee44ac40d263a493e7b47b70fda0c385fb64f34a","observation_id":"0af09c15-0d8a-4fe5-8322-1bb5218b15bb","resolution":{"observed_at":"2026-07-09T12:36:13.871300Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2508.15170/citation-record","integrity":"/paper/2508.15170/integrity","json":"/paper/2508.15170/citation-record.json","paper":"/paper/2508.15170"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:15:44.226008Z","title":"Quantum algorithm for linear systems of equations","venue":null,"work_id":"d9473f40-7250-4786-b87a-f3ffa340995c","year":2009},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:28.746075Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:7b6b28daea779d5342ea44090b3b104ceed78157292a31a653445ce4f5365fb0","observation_id":"5a11c359-401d-4fb6-bf4c-9bdaf43a72fb","resolution":{"observed_at":"2026-08-05T18:15:44.463015Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:15:43.915243Z","title":"Variable time amplitude amplification and quantum algorithms for linear algebra problems","venue":null,"work_id":"0aba8229-c020-4c5d-bf16-8ea8f43cbdf2","year":2012},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:28.823604Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:c8318b4c2614694c5bdd056e064aa664cc84d3f934936faf3f6dfc5a9322e651","observation_id":"0cc0c412-b87e-4c80-9210-f6ef3f438959","resolution":{"observed_at":"2026-08-05T18:15:44.069922Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-05T18:15:28.909062Z","title":"Quantum Algorithm for Systems of Linear Equations with Exponentially Improved Dependence on Precision","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:28.909062Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:f6cd895bcbfc9f56d7c302fd97f658e2200f14a2e8c25c90c11f6f0bf71d2456","observation_id":"a1c4d9fc-7d3c-4652-b8ce-45dd95a1a5d3","resolution":{"observed_at":"2026-08-05T18:15:28.909062Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:15:43.669008Z","title":"Quantum Algorithms for Systems of Linear Equations Inspired by Adiabatic Quantum Computing","venue":null,"work_id":"bc98b009-fab3-450f-b708-3c32df3f87c3","year":2019},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:29.002757Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:ee5f5b4ad7e33c627982ec3f77c918a69d0bb96463409d5ddaaa42aac12da301","observation_id":"6056adb3-fd86-4df2-9faf-d8740677e450","resolution":{"observed_at":"2026-08-05T18:15:43.772077Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:15:43.400643Z","title":"Quantum linear system solver based on time-optimal adiabatic quantum computing and quantum approximate optimization algorithm","venue":null,"work_id":"bd07a02a-865f-4d87-968d-7b4c54825cf9","year":2022},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:29.091057Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:cccebb5c1b0a0d449a9068c6bb7503d52b2635816ae3a6db44de9122fc4f7ad7","observation_id":"f952722a-4a69-47c7-bd3a-abf5f3f3b7a9","resolution":{"observed_at":"2026-08-05T18:15:43.504676Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:15:43.198032Z","title":"Optimal scaling quantum linear-systems solver via discrete adiabatic theorem","venue":null,"work_id":"b85b8186-aafb-4623-a5b1-c6f0cef1ac7e","year":2022},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:29.173396Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:7b14061f6b1afac19288fd236b727e632a858bbf063c4d5247241f540512d55c","observation_id":"d31d288c-4862-4e0d-ac67-fb4b66a5a764","resolution":{"observed_at":"2026-08-05T18:15:43.307217Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2406.12086","last_updated":"2026-04-08T23:55:31Z","snapshot_observed_at":"2026-08-02T20:06:35.567731Z","submitted_at":"2024-06-17T20:54:11Z","title":"A shortcut to an optimal quantum linear system solver","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.12086","snapshot_observed_at":"2026-08-05T18:15:29.238299Z","title":"A shortcut to an optimal quantum linear system solver","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:29.238299Z"},"links":{"cited_paper":"/paper/2406.12086","citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:e88f0441753071707ba2e739ab59b8d34617d2de57d521c908badfab3f3ce327","observation_id":"18b480f0-d49e-448a-8b70-cf3bdacd2a35","resolution":{"observed_at":"2026-08-05T18:15:29.238299Z","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":"2026-08-05T18:15:29.301731Z","title":"Quantum eigenvalue processing","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:29.301731Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:72ed073086c6e4ab78cee3cd4dc041eb968876939bbd87002951562b611cf0f8","observation_id":"6685c5d0-1e58-41c1-8337-0148d6cb80b6","resolution":{"observed_at":"2026-08-05T18:15:29.301731Z","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":"2026-08-05T18:15:29.377915Z","title":"High-order quantum algorithm for solving linear differential equations","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:29.377915Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:178129b0f15eb20443137511d815bb1bfcf3bfc7714d49b3008ed87797bc2688","observation_id":"5b4843a0-8f4e-4de5-8606-fc5c2fc7c73a","resolution":{"observed_at":"2026-08-05T18:15:29.377915Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:15:42.980543Z","title":"Quantum algorithm for linear differential equations with exponentially im- proved dependence on precision","venue":null,"work_id":"be52ee2f-7cef-45f5-bff4-719f30a7a969","year":2017},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:29.465572Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:a7fd7c6139e4047cde6bbd143b3708875e4a32d69fab3116fa37dfb2d8cf8486","observation_id":"1cb84330-d2af-4928-84fc-546477a35f1f","resolution":{"observed_at":"2026-08-05T18:15:43.068868Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:15:42.801592Z","title":"Quantum algorithm for time-dependent differential equations using Dyson series","venue":null,"work_id":"20622d6c-33ef-4b9d-ab84-d5a53f0b50ff","year":2024},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:29.613764Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:fe3da5eaeaec4a735583a4b773e2329b8b8fe26daba800a531fed777142c93e0","observation_id":"069150d7-4158-4700-8062-1df399d0f18d","resolution":{"observed_at":"2026-08-05T18:15:42.879847Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:15:42.606169Z","title":"Efficient quantum algorithm for dissipative nonlinear differential equations","venue":null,"work_id":"0269684c-5681-45d7-a79d-d3cc965d354c","year":2021},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:29.703397Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:bba8bd7df206ca8aa88991401cbc5686a516e5cd6d910770098612f5941838a7","observation_id":"b2df2694-94de-4fcb-98ee-9c160df8c8c4","resolution":{"observed_at":"2026-08-05T18:15:42.695281Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:15:42.420110Z","title":"Quantum spectral methods for differential equations","venue":null,"work_id":"9df8d987-53e5-406c-a511-194e0ca17d1c","year":2020},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:29.787293Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:c2faf6b47f9d7ff5628fa808532cff3bd819530f1fd76064793feb6d4bc65f20","observation_id":"5f2a1b77-215d-4c22-8b6a-fbba0497ab59","resolution":{"observed_at":"2026-08-05T18:15:42.493183Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-05T18:15:29.894431Z","title":"High-precision quantum algorithms for partial differential equations","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:29.894431Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:0f9ba3797280f351dde0e63947959f26a98c384435febf93ef1611b0fcba5820","observation_id":"42106e4a-4038-411b-a844-acae5b789ea8","resolution":{"observed_at":"2026-08-05T18:15:29.894431Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:15:42.068884Z","title":"Improved quantum algorithms for linear and nonlinear differential equations","venue":null,"work_id":"0a618cf7-0aea-42a5-92f7-e4bfd2d8c0a7","year":2023},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:30.039087Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:86bd6f8306d40d6b9dca0b6142abaeafb3f743558326442d0e5e0697ecf14295","observation_id":"ae2a1607-c8e4-4ff1-8bea-11652f8fbbab","resolution":{"observed_at":"2026-08-05T18:15:42.260202Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-05T18:15:30.127542Z","title":"Quantum linear system algorithm with optimal queries to initial state preparation","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:30.127542Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:91fd0541a4869e03f4ea19ffd171ead07e2700403179a7901b9e0719b98e98ff","observation_id":"64c3dad3-92e3-4aea-8964-4876bd4aa2cd","resolution":{"observed_at":"2026-08-05T18:15:30.127542Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:15:41.884917Z","title":"Time-marching based quantum solvers for time-dependent linear differential equations","venue":null,"work_id":"0be0eaa8-5b4e-4985-89e1-cca208fc6cd0","year":2023},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:30.185507Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:b869b293fb1cce067bb9ac5b7be20219e7c483bbfc087ea263cc8267d84936ac","observation_id":"db570d10-bb90-40f7-8e43-03d89aa178bf","resolution":{"observed_at":"2026-08-05T18:15:41.963224Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:15:41.594363Z","title":"Linear combination of Hamiltonian simulation for nonunitary dynamics with optimal state preparation cost","venue":null,"work_id":"3c9d9e79-ada4-4cf7-99ce-1da9c03dc1b4","year":2023},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:30.231598Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:f7f673c890ea1d880752bd6d480d69728f54729798f04933d01b18ab12319fbe","observation_id":"cf566792-bbe4-4b0d-ae0f-7db7f4a49ac5","resolution":{"observed_at":"2026-08-05T18:15:41.778101Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-05T18:15:30.360324Z","title":"Quantum algorithm for linear non-unitary dynamics with near-optimal dependence on all parameters","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:30.360324Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:ac94f564d50335be600f9e0407c632c8bb91a4008641610485904a786be784f7","observation_id":"10fa4935-e8d0-4308-a508-5ac79f673518","resolution":{"observed_at":"2026-08-05T18:15:30.360324Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2212.14703","last_updated":"2022-12-30T13:47:35Z","snapshot_observed_at":"2026-08-13T13:12:27.509300Z","submitted_at":"2022-12-30T13:47:35Z","title":"Quantum simulation of partial differential equations via Schrodingerisation: technical details","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2212.14703","snapshot_observed_at":"2026-08-05T18:15:30.485287Z","title":"Quantum simulation of partial differential equations via schrodin- gerisation: technical details","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:30.485287Z"},"links":{"cited_paper":"/paper/2212.14703","citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:a2926e4b4d26d59670b235c5ce20eba937e5e5c1bc8b19ca0627d868b68e0fa8","observation_id":"52c71b3a-c705-4fd8-8acf-e363c9ec733a","resolution":{"observed_at":"2026-08-05T18:15:30.485287Z","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":"2026-08-05T18:15:30.620780Z","title":"On the Schr¨ odingerization method for linear non-unitary dynamics with optimal depen- dence on matrix queries","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:30.620780Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:3d389bf98128b974da3aaadd62599378969b95742975c3a5f7e037b05dc6df95","observation_id":"6f3f1207-39ff-4a06-80f5-7507ea79aade","resolution":{"observed_at":"2026-08-05T18:15:30.620780Z","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":"2026-08-05T18:15:30.701687Z","title":"From Linear Differential Equations to Unitaries: A Moment-Matching Dilation Framework with Near-Optimal Quantum Algorithms","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:30.701687Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:9b0feb94867f3131caa4137a7c94ec7a86675af15eb6352f46be0062753a4041","observation_id":"8750aff6-671a-47fe-b81f-98149b7a8f64","resolution":{"observed_at":"2026-08-05T18:15:30.701687Z","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":"2026-08-05T18:15:30.773215Z","title":"Design nearly optimal quantum algorithm for linear differential equations via Lindbladians","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:30.773215Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:1c6410dec88983d8971e65d9d9d6cacd1d65f73647f3d33e09bfd874239de724","observation_id":"a194b7bd-d02b-4521-820d-260cf5b25e28","resolution":{"observed_at":"2026-08-05T18:15:30.773215Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2507.16995","last_updated":"2026-08-11T13:42:17Z","snapshot_observed_at":"2026-08-14T23:11:25.715034Z","submitted_at":"2025-07-22T20:08:34Z","title":"Qubit-Efficient Quantum Algorithm for Linear Differential Equations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2507.16995","snapshot_observed_at":"2026-08-05T18:15:30.843423Z","title":"Qubit-Efficient Quantum Algorithm for Linear Differential Equations","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:30.843423Z"},"links":{"cited_paper":"/paper/2507.16995","citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:aa820cf71b2d3f750bb076b36ba392113d8daeb27820e8abded0a42f809ed169","observation_id":"ac4ae469-13d7-4101-a664-4c88d1d90da3","resolution":{"observed_at":"2026-08-05T18:15:30.843423Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:15:41.240196Z","title":"Quantum-accelerated multilevel Monte Carlo methods for stochastic differential equa- tions in mathematical finance","venue":null,"work_id":"b318bd57-cc7c-4b19-87bd-183b0f0d8bfc","year":2021},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:30.933152Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:752afd5841785c8c6ebc6d09788994f39d133dcb271b97181b10573213cae3f7","observation_id":"39655a82-d6e7-46cf-b694-51cc9d7039c8","resolution":{"observed_at":"2026-08-05T18:15:41.354102Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.01391","last_updated":"2024-11-03T00:54:33Z","snapshot_observed_at":"2026-08-14T23:10:08.902295Z","submitted_at":"2024-11-03T00:54:33Z","title":"Differentiable Quantum Computing for Large-scale Linear Control","version":1},"cited_work":{"arxiv_id":"2411.01391","doi":null,"metadata_source":"pith","pith_arxiv_id":"2411.01391","snapshot_observed_at":"2026-08-05T18:15:36.365805Z","title":"Differentiable Quantum Computing for Large-scale Linear Control","venue":"quant-ph","work_id":"ecf47b18-eb63-4812-8f54-910e322dbbed","year":2024},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:31.038729Z"},"links":{"cited_paper":"/paper/2411.01391","citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:8bc835b0e779afe6bb2c767cc1841d33d60c0b4aaae0f44511ec7397e3eaea18","observation_id":"cb73d6c0-d111-4453-85e5-5ba028374356","resolution":{"observed_at":"2026-08-05T18:15:36.443065Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.03972","last_updated":"2025-04-16T06:20:01Z","snapshot_observed_at":"2026-08-12T22:06:25.359457Z","submitted_at":"2024-11-06T15:10:15Z","title":"Toward end-to-end quantum simulation for protein dynamics","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.03972","snapshot_observed_at":"2026-08-05T18:15:31.158569Z","title":"Toward end-to-end quantum simulation for protein dynamics","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:31.158569Z"},"links":{"cited_paper":"/paper/2411.03972","citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:2cbf4f860a021d46d9af68f4835d60a4ddceef307974a14f1353c5e753db7597","observation_id":"5706464c-02b3-4859-b579-4927c7399924","resolution":{"observed_at":"2026-08-05T18:15:31.158569Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:15:40.722561Z","title":"Quantum simulation of partial differential equations: Applications and detailed analysis","venue":null,"work_id":"810ec94f-068c-4d5c-8616-b7a161ce8784","year":2023},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:31.322934Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:3c1d6b58f2f2f74513b2b8c3dfba20793cac65c51fafc401bdd228a958ff4122","observation_id":"11101d4f-c0c9-43d9-b01e-c2f8f1e732e1","resolution":{"observed_at":"2026-08-05T18:15:40.977730Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:15:40.661299Z","title":"Towards provably efficient quantum algorithms for large-scale machine-learning models","venue":null,"work_id":"38eac144-4af9-48b4-863a-82d05d8fd49d","year":2024},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:31.408334Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:caa5c2d069affaee08d0a99a6ec668d128fe9d0ef7e62a7eb8e9e0d3f850b063","observation_id":"a2bd3dd2-8b84-41e6-9207-d9dca14ea558","resolution":{"observed_at":"2026-08-05T18:15:40.666660Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:15:40.406206Z","title":"Exponential improvement in precision for simulating sparse Hamiltonians","venue":null,"work_id":"8a47fa75-0ff3-4e12-a0c0-0ac1eab1fde4","year":2014},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:31.485542Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:0a98d19616ccb9acd0a34dc5c3c8d796dc05747d0db2d58ea766cdab6c6e3c2a","observation_id":"6cae46c4-e3d2-41d0-bfc1-8a5910179a7d","resolution":{"observed_at":"2026-08-05T18:15:40.517987Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:15:40.171207Z","title":"Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics","venue":null,"work_id":"524636c2-aa99-4020-804a-309a2b42f301","year":2019},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:31.577612Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:33c19493019ee342cd5357ac5c326ba327b16a3b632f8c23c19c0d2a7ee709b7","observation_id":"821caf5a-3f41-4434-9296-f1de9325743e","resolution":{"observed_at":"2026-08-05T18:15:40.289856Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:15:39.970396Z","title":"Simulating the dynamics of time-dependent Hamiltonians with a truncated Dyson series","venue":null,"work_id":"01dddc6c-a369-411c-9d35-c2fbd4d774c8","year":2019},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:31.633721Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:3720d9aa2bc828fc130fd4393575c4102f4b7a9fe1fc24f7f1f7b21d328cbb4f","observation_id":"0a7ecdf9-0f8e-4c7e-91c6-9d26d374903e","resolution":{"observed_at":"2026-08-05T18:15:40.062923Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:15:39.810687Z","title":"The cost of solving linear differential equations on a quantum computer: fast- forwarding to explicit resource counts","venue":null,"work_id":"77255b87-7782-4533-bded-9fb014841a54","year":2024},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:31.708405Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:e3878e4cfb531a65d675275c63e4d112a4405e0c16800db6264022dd94e548f0","observation_id":"d7f84e62-9301-4c76-bbe8-8e99353042aa","resolution":{"observed_at":"2026-08-05T18:15:39.900301Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-05T18:15:31.851465Z","title":"Fast-forwarding quantum algorithms for linear dis- sipative differential equations","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:31.851465Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:8ea6b6c93239c67284f418a598de2c9cef1c5db56d564aacc08ff231a90742df","observation_id":"722cceb0-fe15-406e-912b-5ae084883a35","resolution":{"observed_at":"2026-08-05T18:15:31.851465Z","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":"2026-08-05T18:15:31.944959Z","title":"Simulating Hamiltonian Dynamics with a Truncated Taylor Series","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:31.944959Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:7f231554cf27d3cd3a6cb474c5211d9a3c8ad9c4025b14dfa524c62709f44c32","observation_id":"a6b24833-46fc-4cb3-9d76-a8fcecf52267","resolution":{"observed_at":"2026-08-05T18:15:31.944959Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1805.00675","last_updated":"2019-06-06T07:17:48Z","snapshot_observed_at":"2026-08-14T19:19:47.594864Z","submitted_at":"2018-05-02T08:45:20Z","title":"Hamiltonian Simulation in the Interaction Picture","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1805.00675","snapshot_observed_at":"2026-08-05T18:15:32.043566Z","title":"Hamiltonian simulation in the interaction picture","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:32.043566Z"},"links":{"cited_paper":"/paper/1805.00675","citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:4241cd00a502b452ee718db0ba4e23ee34fdf65ca385202af96ca22b08ee8510","observation_id":"d6fb4f84-c801-4538-ab6e-48dfc897dd80","resolution":{"observed_at":"2026-08-05T18:15:32.043566Z","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":"2026-08-05T18:15:32.142691Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:32.142691Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:9e233a325055dde1781538f608762d8123a2f05659a569f20edd21267e39ebbb","observation_id":"b6f242a9-71b6-4eef-96f9-b91fc3a49587","resolution":{"observed_at":"2026-08-05T18:15:32.142691Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/0210077","last_updated":"2002-10-11T18:09:39Z","snapshot_observed_at":"2026-08-06T18:00:13.870455Z","submitted_at":"2002-10-11T18:09:39Z","title":"Quantum NP - A Survey","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/0210077","snapshot_observed_at":"2026-08-05T18:15:32.227097Z","title":"Quantum NP-a survey","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:32.227097Z"},"links":{"cited_paper":"/paper/quant-ph/0210077","citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:d3e179246cd52ac502c8bafa4da86d7806c86876bfcc39c054b92f94a3b5477f","observation_id":"80d9a5ca-07cf-48c4-a48d-870df97944f7","resolution":{"observed_at":"2026-08-05T18:15:32.227097Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:15:39.572608Z","title":"The power of quantum systems on a line","venue":null,"work_id":"d671ad32-4f30-4e57-8005-6dc322aab57d","year":2009},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:32.356959Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:4a982068ae7c9b0753e2c3b08e615fc08ddf3f1baa2fbd2054d198b1f629345c","observation_id":"80cd41c2-9b78-4820-b53d-eb05a8df4f49","resolution":{"observed_at":"2026-08-05T18:15:39.700417Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:15:39.368202Z","title":"The complexity of the local Hamiltonian problem","venue":null,"work_id":"f6188263-b6f3-4fa5-a9de-f9996b9cb66b","year":2006},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:32.484384Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:4d3d2124a9b746b54cea5fdfc704f1052f6f7d796fdda6ce0922aa2f7679c382","observation_id":"5ff63e0d-84b6-4c94-bdab-44d4ad92f8f1","resolution":{"observed_at":"2026-08-05T18:15:39.440217Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:15:39.139677Z","title":"Classical and quantum computation","venue":null,"work_id":"33d1f851-7f6a-4e50-814c-1629c4625656","year":2002},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:32.571668Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:aa04e9c5bbb1de6919c02f644288c99ad49a5459d6d100ccb91a56c52cc51633","observation_id":"bb51d457-d349-4449-ab0c-99e70ec8f00e","resolution":{"observed_at":"2026-08-05T18:15:39.237311Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/0504050","last_updated":"2008-06-03T18:03:33Z","snapshot_observed_at":"2026-08-14T22:08:55.239331Z","submitted_at":"2005-04-07T17:24:45Z","title":"The complexity of quantum spin systems on a two-dimensional square lattice","version":6},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/0504050","snapshot_observed_at":"2026-08-05T18:15:32.652608Z","title":"The complexity of quantum spin systems on a two-dimensional square lattice","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:32.652608Z"},"links":{"cited_paper":"/paper/quant-ph/0504050","citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:98cd0e04073c8ef3d805ee057d9bd793ab2072f45baafc7fa12afdd293b3ad0c","observation_id":"23a1fefc-a00d-4359-9082-9eb40f19a736","resolution":{"observed_at":"2026-08-05T18:15:32.652608Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:15:38.969427Z","title":"Ground-state preparation and energy estimation on early fault- tolerant quantum computers via quantum eigenvalue transformation of unitary matrices","venue":null,"work_id":"f8505751-65a4-45ad-8c72-af856b4a0359","year":2022},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:32.739122Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:e378a27ab3e1644ccced149c37050d6e4bdac51b5c2d3fd47ad0bf3bdc877db9","observation_id":"c492bdc3-751a-4c4d-84ec-b8641f4224bc","resolution":{"observed_at":"2026-08-05T18:15:39.062430Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:15:38.732292Z","title":"Near-optimal ground state preparation","venue":null,"work_id":"894eaa93-02af-4717-a8e6-55ecaa83cbb2","year":2020},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:32.844643Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:2d6550eef465805e4b42ef9c6dcb606e072eedda959ce145e6b60e6dae07860d","observation_id":"5b233ec8-9fd4-4b25-af83-ab5d5a6956ad","resolution":{"observed_at":"2026-08-05T18:15:38.835324Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:15:38.415325Z","title":"Heisenberg-limited ground-state energy estimation for early fault-tolerant quantum computers","venue":null,"work_id":"b5b1ce4e-7eb4-4bb0-8fc9-04a3695c8e5e","year":2022},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:32.960275Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:e8c9fc975f9b9ee043f9c0d5cb68890e0ee78138e8cbdfedcb1493f95976c614","observation_id":"85620517-4fbf-441f-b9b9-9fe28e821a4b","resolution":{"observed_at":"2026-08-05T18:15:38.571817Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:15:38.148348Z","title":"Single-ancilla ground state preparation via Lindbladians","venue":null,"work_id":"221beafc-89a4-4efc-8963-777ca6d4fec2","year":2024},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:33.053140Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:d6946294ebef70ac01f7e43246a61b1e0d4bc75a4e8aaf47c17b7b5cc4a95af5","observation_id":"9a675ebb-b08b-4272-bf77-9b267e772881","resolution":{"observed_at":"2026-08-05T18:15:38.255177Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-05T18:15:33.137398Z","title":"Dissipative preparation of many-body quantum states: Towards practical quantum advan- tage","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:33.137398Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:7a6ad211ca9bfd4c7547e4f7c02afcfa735a7580a0422f30c1d97daa35252296","observation_id":"be5f90bc-8aee-4908-8b17-ee395c8a7cff","resolution":{"observed_at":"2026-08-05T18:15:33.137398Z","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":"2026-08-05T18:15:33.231267Z","title":"End-to-End Efficient Quantum Thermal and Ground State Preparation Made Simple","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:33.231267Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:8f69d19fb7c2e6ea8a30c00925199b0dc86789dec6c10f652cc8fff7ec16ae1b","observation_id":"192cb59b-f053-4f94-bde2-c2daf0db362d","resolution":{"observed_at":"2026-08-05T18:15:33.231267Z","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":"2026-08-05T18:15:33.324736Z","title":"Rapid quantum ground state preparation via dissipative dynamics","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:33.324736Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:8909b0c1f68ae2f79f03334068d8c513da76bddbc278288e29e6cb0005c4867f","observation_id":"7e8124a8-eb99-4149-a72d-c8bc9d0c507f","resolution":{"observed_at":"2026-08-05T18:15:33.324736Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:15:37.943681Z","title":"Fast-forwarding of Hamiltonians and exponentially precise measure- ments","venue":null,"work_id":"19b8a5b3-4023-4950-908b-13ab2ad70a31","year":2017},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:33.516132Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:31f03d869f93d7dcb22226be0ba9fdc5ffd2077a66f4417d1c2eb76c667be859","observation_id":"03c033ce-8c66-4372-9dec-872022d0abf4","resolution":{"observed_at":"2026-08-05T18:15:38.037554Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:15:37.812030Z","title":"Fast-forwarding quantum evolution","venue":null,"work_id":"6e12979b-0761-4998-92a5-af851cf88438","year":2021},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:33.670685Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:37dfcd59f6677e0515b79fe50666c1783582c8b23d066bf7637ac100e62b1e3c","observation_id":"b7446456-abae-4191-8698-502986fc8a7e","resolution":{"observed_at":"2026-08-05T18:15:37.873931Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2211.05246","last_updated":"2025-07-09T04:47:55Z","snapshot_observed_at":"2026-08-15T09:43:05.587413Z","submitted_at":"2022-11-09T22:50:14Z","title":"Quantum differential equation solvers: limitations and fast-forwarding","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2211.05246","snapshot_observed_at":"2026-08-05T18:15:33.809740Z","title":"A theory of quantum differential equation solvers: limitations and fast-forwarding","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:33.809740Z"},"links":{"cited_paper":"/paper/2211.05246","citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:f91aecc2833bf9056a02aa1fee1b942c8c0838c692184aeeaefd4bab8a13612e","observation_id":"6a9eec66-7cfa-4d5b-bddc-22d507d48c63","resolution":{"observed_at":"2026-08-05T18:15:33.809740Z","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":"2026-08-05T18:15:33.973125Z","title":"Making sense of non-Hermitian Hamiltonians","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:33.973125Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:1c3f2b31ad8e18a65f236a8ab0554911bb02113786d6d80156e153ef13ca9a35","observation_id":"2536c71a-9942-4c8e-b9b9-abdaae374f9e","resolution":{"observed_at":"2026-08-05T18:15:33.973125Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1103/physreva.88.032105","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Classical field theory for a non-Hermitian Schr¨ odinger equation with position-dependent masses","venue":"Physical Review A","work_id":"8130f146-1bba-436d-a70a-29efc9f6c6e0","year":2013},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:34.075517Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:5d4c0fbcc06a694aab20d190a7d6535aa2ccd18cdd7d807c87e78164b3db9a39","observation_id":"f88a8f5d-8e65-48f8-8546-6ce4b5f46e6b","resolution":{"observed_at":"2026-08-05T18:15:35.644527Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1103/physrevb.91.094301","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Non-Hermitian Hamiltonian approach to quantum transport in disordered networks with sinks: Validity and effectiveness","venue":"Physical Review B","work_id":"cb730ce3-5644-4438-bc62-66bf0344814f","year":2015},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:34.203377Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:c6256da24f79a5ba740a5c6c4a44279c8683f77ab3a013725ab5a4921f2229b1","observation_id":"487c214a-59e6-4d2a-9394-b59047fb8633","resolution":{"observed_at":"2026-08-05T18:15:35.540394Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-05T18:15:34.249416Z","title":"Non-Hermitian physics and PT symmetry","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:34.249416Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:e4e3e0a8bf334dc3ed0ef7cc0ea302595e4ca68f740f33cae2a6147ec5bd581a","observation_id":"727f616b-0df5-4a8c-bfa2-ce426507f9dc","resolution":{"observed_at":"2026-08-05T18:15:34.249416Z","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":"2026-08-05T18:15:34.302621Z","title":"Topological Phases of Non-Hermitian Systems","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:34.302621Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:de29663d8737c340d6d334a58dca492a8a7e3a0cd46f137fc0cbbafd617efbe3","observation_id":"bcc0e132-b721-4523-85e7-ad18827ce6f4","resolution":{"observed_at":"2026-08-05T18:15:34.302621Z","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":"2026-08-05T18:15:34.389393Z","title":"Topological Origin of Non-Hermitian Skin Effects","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:34.389393Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:c3c5e52487c30b215d69388855dba5a888f592a786847e64f058ccd8b52d8376","observation_id":"1333f3df-c33d-43ee-9e7c-e12df876b5b3","resolution":{"observed_at":"2026-08-05T18:15:34.389393Z","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":"2026-08-05T18:15:34.451331Z","title":"Non-Hermitian physics","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:34.451331Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:eabba0b1d5b173549483dbdcbfc11f9f33247bba2b055e29caaa503d0a77b53f","observation_id":"e98364f2-e0c7-4066-b065-d91035120449","resolution":{"observed_at":"2026-08-05T18:15:34.451331Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:15:37.677548Z","title":"Continuous Phase Transition without Gap Closing in Non-Hermitian Quantum Many-Body Systems","venue":null,"work_id":"4956adeb-b6f7-4853-a54d-df0874d3ebf9","year":2020},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:34.533373Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:dad5383fcddc7738504f58d8a86b7a915f3c4218140c04f62da43bb1c424cb03","observation_id":"090106d5-69fc-4663-bf94-06c9a00c6762","resolution":{"observed_at":"2026-08-05T18:15:37.733148Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-05T18:15:34.626377Z","title":"Non-Hermitian topology and exceptional-point geome- tries","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:34.626377Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:1fb68209652629cfcabd136de80c029697bac6c6087b956567c23e61139f6ad0","observation_id":"cadaed68-9963-43a8-8c8a-f21e3238a5c3","resolution":{"observed_at":"2026-08-05T18:15:34.626377Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1103/physrevlett.130.100401","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Topological Spin Excitations in Non-Hermitian Spin Chains with a Generalized Kernel Polynomial Algorithm","venue":"Physical Review Letters","work_id":"2c53317a-d1ba-4ceb-adb3-9d22a318c749","year":2023},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:34.735748Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:a05f6e9f8534760384748ba36456afbeed6404dd340f5152134f2cddc961ab47","observation_id":"86a3cb53-56c0-4090-a1f6-3b2b992e752a","resolution":{"observed_at":"2026-08-05T18:15:35.306192Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-05T18:15:34.794867Z","title":"Exact Solution of the Bose-Hubbard Model with Unidirectional Hopping","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:34.794867Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:28acb516c5616856b95d985b8b2568ffcb50548ff409878bc47ace223a8c131d","observation_id":"e14a2fd4-fe02-4831-8862-fc66b073b66c","resolution":{"observed_at":"2026-08-05T18:15:34.794867Z","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":"2026-08-05T18:15:34.860342Z","title":"Non-Hermitian Fermi-Dirac Distribution in Persistent Current Transport","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:34.860342Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:f5222aa17d315739433acfccdf074198d7fc28d899b66e0c3b4c77bd82b1b2d6","observation_id":"f2e6f4e9-1c5a-4e45-9b56-15dbd85c07b1","resolution":{"observed_at":"2026-08-05T18:15:34.860342Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:15:37.542245Z","title":null,"venue":null,"work_id":"deb3a717-db63-4932-8339-0a038c8dcff9","year":2010},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:34.898044Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:ef23ac9599eb84ea5780ce3e5435368dc6c9e19168d87a439d12294753af9142","observation_id":"1a8f033a-a3fa-4725-a459-52a72fa0191c","resolution":{"observed_at":"2026-08-05T18:15:37.603483Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:15:37.400934Z","title":"Hundsdorfer and Jan G","venue":null,"work_id":"370bb0ab-a02e-45bd-b414-95563320bc83","year":2003},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:34.953514Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:a1b91845bec73f063bd4df11aa0aa7b4d8d60f57a4f8ab553f0edd68dd43a8be","observation_id":"9b7f0937-fe18-491a-8de6-e6d86e8982c7","resolution":{"observed_at":"2026-08-05T18:15:37.445053Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:15:37.211272Z","title":"Growth, reaction, movement and diffusion from biology","venue":null,"work_id":"27794752-8db4-4c6a-9651-8d79a5c2bf65","year":2012},"citing_paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-05T18:15:35.016492Z"},"links":{"citing_paper":"/paper/2508.15170"},"observation_digest":"sha256:a9d328649a093156c56ed97b74539e22b994a0d0dfd201166158b93dc475f9f7","observation_id":"5f352372-99ec-4203-9184-ca5dd84df44c","resolution":{"observed_at":"2026-08-05T18:15:37.312853Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2508.15170","last_updated":"2025-08-21T02:17:21Z","latest_version":1,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-14T14:32:47.994883Z","submitted_at":"2025-08-21T02:17:21Z","title":"Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations"},"reference_resolution":{"displayed":67,"state_counts":{"malformed_identifier":2,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":31,"verified_exact":4,"verified_fuzzy":30},"total_outbound_references":67},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 67 of 67 outbound references and 7 inbound Pith citation observations for arXiv:2508.15170."}