{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:OWSXPVGO7QND54XQRP6RYEV7S7","short_pith_number":"pith:OWSXPVGO","schema_version":"1.0","canonical_sha256":"75a577d4cefc1a3ef2f08bfd1c12bf97e63362e8401e82eee246c02427710d71","source":{"kind":"arxiv","id":"2411.02522","version":3},"attestation_state":"computed","paper":{"title":"Quantum Linear System Solvers: A Survey of Algorithms and Applications","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Al\\'an Aspuru-Guzik, Dominic W. Berry, Dong An, Kelvin Koor, Lin Lin, Lirand\\\"e Pira, Mauro E. S. Morales, Patrick Rebentrost, Pedro C. S. Costa, Philipp Schleich","submitted_at":"2024-11-04T19:03:25Z","abstract_excerpt":"Solving linear systems of equations plays a fundamental role in numerous computational problems from different fields of science. The widespread use of numerical methods to solve these systems motivates investigating the feasibility of solving linear systems problems using quantum computers. In this work, we provide a survey of the main advances in quantum linear systems algorithms, together with some applications. We summarize and analyze the main ideas behind some of the algorithms for the quantum linear systems problem in the literature. The analysis begins by examining the Harrow-Hassidim-"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2411.02522","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-11-04T19:03:25Z","cross_cats_sorted":[],"title_canon_sha256":"ed5ed76bfb0316e4ef7c9f45cb02cb20f7d71b13cbc74892e42adb4ce7a5e232","abstract_canon_sha256":"d0aeaa02849ce07f9be6af01fcf4d16def62f623f57ed00cc71b19e1ced85dba"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:59:00.802904Z","signature_b64":"nA1ppF7SWcfWW31PU+cniCH6eHLfSkky/bHufeR7248ltnu3PC94Hy8UCUS3RgyaIEssN31e/fcGS8xjQbyYBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"75a577d4cefc1a3ef2f08bfd1c12bf97e63362e8401e82eee246c02427710d71","last_reissued_at":"2026-07-05T09:59:00.802403Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:59:00.802403Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum Linear System Solvers: A Survey of Algorithms and Applications","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Al\\'an Aspuru-Guzik, Dominic W. Berry, Dong An, Kelvin Koor, Lin Lin, Lirand\\\"e Pira, Mauro E. S. Morales, Patrick Rebentrost, Pedro C. S. Costa, Philipp Schleich","submitted_at":"2024-11-04T19:03:25Z","abstract_excerpt":"Solving linear systems of equations plays a fundamental role in numerous computational problems from different fields of science. The widespread use of numerical methods to solve these systems motivates investigating the feasibility of solving linear systems problems using quantum computers. In this work, we provide a survey of the main advances in quantum linear systems algorithms, together with some applications. We summarize and analyze the main ideas behind some of the algorithms for the quantum linear systems problem in the literature. The analysis begins by examining the Harrow-Hassidim-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.02522","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2411.02522/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2411.02522","created_at":"2026-07-05T09:59:00.802462+00:00"},{"alias_kind":"arxiv_version","alias_value":"2411.02522v3","created_at":"2026-07-05T09:59:00.802462+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.02522","created_at":"2026-07-05T09:59:00.802462+00:00"},{"alias_kind":"pith_short_12","alias_value":"OWSXPVGO7QND","created_at":"2026-07-05T09:59:00.802462+00:00"},{"alias_kind":"pith_short_16","alias_value":"OWSXPVGO7QND54XQ","created_at":"2026-07-05T09:59:00.802462+00:00"},{"alias_kind":"pith_short_8","alias_value":"OWSXPVGO","created_at":"2026-07-05T09:59:00.802462+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":22,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2607.08220","citing_title":"Quantum linear solvers for quantum chemistry: prospects of exponential quantum advantage","ref_index":36,"is_internal_anchor":true},{"citing_arxiv_id":"2604.20512","citing_title":"Nonisothermal global-pressure exactness in fractured multiphase flow with aperture feedback","ref_index":5,"is_internal_anchor":false},{"citing_arxiv_id":"2606.19020","citing_title":"Quantum circuit decomposition of the tangent-fermion Dirac operator","ref_index":32,"is_internal_anchor":false},{"citing_arxiv_id":"2606.12770","citing_title":"Explicit Quantum Circuit Simulation of Nonlinear 1-Dimensional Fluid with Carleman-linearized Boltzmann Method","ref_index":56,"is_internal_anchor":false},{"citing_arxiv_id":"2605.00302","citing_title":"Quantum Data Loading for Carleman Linearized Systems: Application to the Lattice-Boltzmann Equation","ref_index":14,"is_internal_anchor":false},{"citing_arxiv_id":"2605.28135","citing_title":"A Demonstration of Quantum Circuit Implementation for Obstacle Flow Using Carleman-Linearized Lattice Boltzmann Method","ref_index":13,"is_internal_anchor":false},{"citing_arxiv_id":"2412.03939","citing_title":"A quantum nonlinear solver based on the asymptotic numerical method","ref_index":34,"is_internal_anchor":false},{"citing_arxiv_id":"2605.00302","citing_title":"Quantum Data Loading for Carleman Linearized Systems: Application to the Lattice-Boltzmann Equation","ref_index":13,"is_internal_anchor":false},{"citing_arxiv_id":"2605.20071","citing_title":"Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization","ref_index":18,"is_internal_anchor":false},{"citing_arxiv_id":"2508.04689","citing_title":"Probabilistic quantum algorithm for Lyapunov equations and matrix inversion","ref_index":14,"is_internal_anchor":false},{"citing_arxiv_id":"2511.11494","citing_title":"A Quantum Spectral Method for Non-Periodic Boundary Value Problems","ref_index":9,"is_internal_anchor":false},{"citing_arxiv_id":"2603.12405","citing_title":"Explicit Block Encodings of Discrete Laplacians with Mixed Boundary Conditions","ref_index":4,"is_internal_anchor":false},{"citing_arxiv_id":"2605.10768","citing_title":"Unitaria: Quantum Linear Algebra via Block Encodings","ref_index":1,"is_internal_anchor":false},{"citing_arxiv_id":"2605.00302","citing_title":"Quantum Data Loading for Carleman Linearized Systems: Application to the Lattice-Boltzmann Equation","ref_index":6,"is_internal_anchor":false},{"citing_arxiv_id":"2604.24362","citing_title":"Practical lower bounds for hybrid quantum interior point methods in linear programming","ref_index":29,"is_internal_anchor":false},{"citing_arxiv_id":"2604.24133","citing_title":"Quantum algorithm for solving high-dimensional linear stochastic differential equations via amplitude encoding of the noise term","ref_index":8,"is_internal_anchor":false},{"citing_arxiv_id":"2604.22185","citing_title":"Constant Factor Analysis of Optimal Quantum Linear Solvers in Practice","ref_index":7,"is_internal_anchor":false},{"citing_arxiv_id":"2605.00302","citing_title":"Quantum Data Loading for Carleman Linearized Systems: Application to the Lattice-Boltzmann Equation","ref_index":6,"is_internal_anchor":false},{"citing_arxiv_id":"2604.20513","citing_title":"Constrained Optimal Polynomials for Quantum Linear System Solvers","ref_index":5,"is_internal_anchor":false},{"citing_arxiv_id":"2604.07639","citing_title":"Exponential quantum advantage in processing massive classical data","ref_index":181,"is_internal_anchor":false},{"citing_arxiv_id":"2604.06130","citing_title":"QAFE$^2$: Quantum accelerated multiscale finite element analysis","ref_index":10,"is_internal_anchor":false},{"citing_arxiv_id":"2604.18276","citing_title":"Block-encodings as programming abstractions: The Eclipse Qrisp BlockEncoding Interface","ref_index":9,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OWSXPVGO7QND54XQRP6RYEV7S7","json":"https://pith.science/pith/OWSXPVGO7QND54XQRP6RYEV7S7.json","graph_json":"https://pith.science/api/pith-number/OWSXPVGO7QND54XQRP6RYEV7S7/graph.json","events_json":"https://pith.science/api/pith-number/OWSXPVGO7QND54XQRP6RYEV7S7/events.json","paper":"https://pith.science/paper/OWSXPVGO"},"agent_actions":{"view_html":"https://pith.science/pith/OWSXPVGO7QND54XQRP6RYEV7S7","download_json":"https://pith.science/pith/OWSXPVGO7QND54XQRP6RYEV7S7.json","view_paper":"https://pith.science/paper/OWSXPVGO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2411.02522&json=true","fetch_graph":"https://pith.science/api/pith-number/OWSXPVGO7QND54XQRP6RYEV7S7/graph.json","fetch_events":"https://pith.science/api/pith-number/OWSXPVGO7QND54XQRP6RYEV7S7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OWSXPVGO7QND54XQRP6RYEV7S7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OWSXPVGO7QND54XQRP6RYEV7S7/action/storage_attestation","attest_author":"https://pith.science/pith/OWSXPVGO7QND54XQRP6RYEV7S7/action/author_attestation","sign_citation":"https://pith.science/pith/OWSXPVGO7QND54XQRP6RYEV7S7/action/citation_signature","submit_replication":"https://pith.science/pith/OWSXPVGO7QND54XQRP6RYEV7S7/action/replication_record"}},"created_at":"2026-07-05T09:59:00.802462+00:00","updated_at":"2026-07-05T09:59:00.802462+00:00"}