{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:TPOHUQMCEQACV7Q7AKP6IWJXSC","short_pith_number":"pith:TPOHUQMC","schema_version":"1.0","canonical_sha256":"9bdc7a418224002afe1f029fe4593790a40f0ae6610e5d1faa8a6ae7da33e2e3","source":{"kind":"arxiv","id":"2111.08152","version":1},"attestation_state":"computed","paper":{"title":"Optimal scaling quantum linear systems solver via discrete adiabatic theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Dominic W. Berry, Dong An, Pedro C. S. Costa, Ryan Babbush, Yuan Su, Yuval R. Sanders","submitted_at":"2021-11-16T00:21:37Z","abstract_excerpt":"Recently, several approaches to solving linear systems on a quantum computer have been formulated in terms of the quantum adiabatic theorem for a continuously varying Hamiltonian. Such approaches enabled near-linear scaling in the condition number $\\kappa$ of the linear system, without requiring a complicated variable-time amplitude amplification procedure. However, the most efficient of those procedures is still asymptotically sub-optimal by a factor of $\\log(\\kappa)$. Here, we prove a rigorous form of the adiabatic theorem that bounds the error in terms of the spectral gap for intrinsically "},"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":"2111.08152","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2021-11-16T00:21:37Z","cross_cats_sorted":[],"title_canon_sha256":"a187827398377f1da8c74b25675a0c6a5c4e0899e8a4384a8779d233e98be1ac","abstract_canon_sha256":"98e55b98cafe23eab3aa76d30213f862ca4d8148edb0c3adaf960112510c0250"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:32:30.264321Z","signature_b64":"P1tn5y4eDCOhQCDVyGZcjfZRiJWbO21aHx1kG3A948p4WLY4f4Fpk058vGCJmcTsbtcGRFz6OGKKhgLIe/+gAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9bdc7a418224002afe1f029fe4593790a40f0ae6610e5d1faa8a6ae7da33e2e3","last_reissued_at":"2026-07-05T03:32:30.263774Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:32:30.263774Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Optimal scaling quantum linear systems solver via discrete adiabatic theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Dominic W. Berry, Dong An, Pedro C. S. Costa, Ryan Babbush, Yuan Su, Yuval R. Sanders","submitted_at":"2021-11-16T00:21:37Z","abstract_excerpt":"Recently, several approaches to solving linear systems on a quantum computer have been formulated in terms of the quantum adiabatic theorem for a continuously varying Hamiltonian. Such approaches enabled near-linear scaling in the condition number $\\kappa$ of the linear system, without requiring a complicated variable-time amplitude amplification procedure. However, the most efficient of those procedures is still asymptotically sub-optimal by a factor of $\\log(\\kappa)$. Here, we prove a rigorous form of the adiabatic theorem that bounds the error in terms of the spectral gap for intrinsically "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.08152","kind":"arxiv","version":1},"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/2111.08152/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":"2111.08152","created_at":"2026-07-05T03:32:30.263841+00:00"},{"alias_kind":"arxiv_version","alias_value":"2111.08152v1","created_at":"2026-07-05T03:32:30.263841+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.08152","created_at":"2026-07-05T03:32:30.263841+00:00"},{"alias_kind":"pith_short_12","alias_value":"TPOHUQMCEQAC","created_at":"2026-07-05T03:32:30.263841+00:00"},{"alias_kind":"pith_short_16","alias_value":"TPOHUQMCEQACV7Q7","created_at":"2026-07-05T03:32:30.263841+00:00"},{"alias_kind":"pith_short_8","alias_value":"TPOHUQMC","created_at":"2026-07-05T03:32:30.263841+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2607.07691","citing_title":"Faster quantum linear system solver beyond the condition number","ref_index":13,"is_internal_anchor":true},{"citing_arxiv_id":"2606.12770","citing_title":"Explicit Quantum Circuit Simulation of Nonlinear 1-Dimensional Fluid with Carleman-linearized Boltzmann Method","ref_index":53,"is_internal_anchor":false},{"citing_arxiv_id":"2406.12086","citing_title":"A shortcut to an optimal quantum linear system solver","ref_index":9,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/TPOHUQMCEQACV7Q7AKP6IWJXSC","json":"https://pith.science/pith/TPOHUQMCEQACV7Q7AKP6IWJXSC.json","graph_json":"https://pith.science/api/pith-number/TPOHUQMCEQACV7Q7AKP6IWJXSC/graph.json","events_json":"https://pith.science/api/pith-number/TPOHUQMCEQACV7Q7AKP6IWJXSC/events.json","paper":"https://pith.science/paper/TPOHUQMC"},"agent_actions":{"view_html":"https://pith.science/pith/TPOHUQMCEQACV7Q7AKP6IWJXSC","download_json":"https://pith.science/pith/TPOHUQMCEQACV7Q7AKP6IWJXSC.json","view_paper":"https://pith.science/paper/TPOHUQMC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2111.08152&json=true","fetch_graph":"https://pith.science/api/pith-number/TPOHUQMCEQACV7Q7AKP6IWJXSC/graph.json","fetch_events":"https://pith.science/api/pith-number/TPOHUQMCEQACV7Q7AKP6IWJXSC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TPOHUQMCEQACV7Q7AKP6IWJXSC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TPOHUQMCEQACV7Q7AKP6IWJXSC/action/storage_attestation","attest_author":"https://pith.science/pith/TPOHUQMCEQACV7Q7AKP6IWJXSC/action/author_attestation","sign_citation":"https://pith.science/pith/TPOHUQMCEQACV7Q7AKP6IWJXSC/action/citation_signature","submit_replication":"https://pith.science/pith/TPOHUQMCEQACV7Q7AKP6IWJXSC/action/replication_record"}},"created_at":"2026-07-05T03:32:30.263841+00:00","updated_at":"2026-07-05T03:32:30.263841+00:00"}