{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:QHCQ5GWKDIWJPRSR7V6IUIKQ3O","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"5e0ed6a77058877a952c60811b5d790906c89e86f03839df5ae07e2d5bafe666","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-01-10T21:40:25Z","title_canon_sha256":"5bd163544033a23c50df72992afb565985e7a2322a27b272a71cdf72838e4f9a"},"schema_version":"1.0","source":{"id":"1301.2340","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.2340","created_at":"2026-05-18T03:20:09Z"},{"alias_kind":"arxiv_version","alias_value":"1301.2340v4","created_at":"2026-05-18T03:20:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.2340","created_at":"2026-05-18T03:20:09Z"},{"alias_kind":"pith_short_12","alias_value":"QHCQ5GWKDIWJ","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"QHCQ5GWKDIWJPRSR","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"QHCQ5GWK","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:7517089b49fa6ed814528c2f6c9b0f7b3de5a58d3abd1fc8fb110a0a94488645","target":"graph","created_at":"2026-05-18T03:20:09Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We describe a quantum algorithm that generalizes the quantum linear system algorithm [Harrow et al., Phys. Rev. Lett. 103, 150502 (2009)] to arbitrary problem specifications. We develop a state preparation routine that can initialize generic states, show how simple ancilla measurements can be used to calculate many quantities of interest, and integrate a quantum-compatible preconditioner that greatly expands the number of problems that can achieve exponential speedup over classical linear systems solvers. To demonstrate the algorithm's applicability, we show how it can be used to compute the e","authors_text":"B. C. Jacobs, B. D. Clader, C. R. Sprouse","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-01-10T21:40:25Z","title":"Preconditioned quantum linear system algorithm"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.2340","kind":"arxiv","version":4},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:29dd094d945f71aa0267cab5b9af5488d728f8b7d5a3034d0c50fa9a0b25d89a","target":"record","created_at":"2026-05-18T03:20:09Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"5e0ed6a77058877a952c60811b5d790906c89e86f03839df5ae07e2d5bafe666","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-01-10T21:40:25Z","title_canon_sha256":"5bd163544033a23c50df72992afb565985e7a2322a27b272a71cdf72838e4f9a"},"schema_version":"1.0","source":{"id":"1301.2340","kind":"arxiv","version":4}},"canonical_sha256":"81c50e9aca1a2c97c651fd7c8a2150dba23aa7be70669ed5ba233256f3bc1cd4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"81c50e9aca1a2c97c651fd7c8a2150dba23aa7be70669ed5ba233256f3bc1cd4","first_computed_at":"2026-05-18T03:20:09.360711Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:20:09.360711Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Fm0d73X+WSKY9+EhCXCo6T3/5iWHujk/OD7jUTog3vrZHTBNQxQjQsUqtoad+KnOfr+5BFXtpcnNQrGxqzDyAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:20:09.361160Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.2340","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:29dd094d945f71aa0267cab5b9af5488d728f8b7d5a3034d0c50fa9a0b25d89a","sha256:7517089b49fa6ed814528c2f6c9b0f7b3de5a58d3abd1fc8fb110a0a94488645"],"state_sha256":"1c4a9fb2acb212140c185d31e6db7b6c68483c42b2dbe1ce5dc4e04d176fc3a8"}