{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:7L47A75TBYMLOXPM4VPBMZV5AC","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":"51e08c986852e73c142566b61a4a128cdd7c1334cb3e49858df9434d1abba952","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2020-09-28T12:59:27Z","title_canon_sha256":"6ab907862adb6219846fd9733a0f1266ad087a2d872f3c081fd78431f731d57c"},"schema_version":"1.0","source":{"id":"2009.13288","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2009.13288","created_at":"2026-07-05T02:35:18Z"},{"alias_kind":"arxiv_version","alias_value":"2009.13288v1","created_at":"2026-07-05T02:35:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2009.13288","created_at":"2026-07-05T02:35:18Z"},{"alias_kind":"pith_short_12","alias_value":"7L47A75TBYML","created_at":"2026-07-05T02:35:18Z"},{"alias_kind":"pith_short_16","alias_value":"7L47A75TBYMLOXPM","created_at":"2026-07-05T02:35:18Z"},{"alias_kind":"pith_short_8","alias_value":"7L47A75T","created_at":"2026-07-05T02:35:18Z"}],"graph_snapshots":[{"event_id":"sha256:7d4fcc0ad7c18aa44e85fe3ccdd909a70e29a35fcd9249604623d50e815338ae","target":"graph","created_at":"2026-07-05T02:35:18Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2009.13288/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The solving of linear systems provides a rich area to investigate the use of nearer-term, noisy, intermediate-scale quantum computers. In this work, we discuss hybrid quantum-classical algorithms for skewed linear systems for over-determined and under-determined cases. Our input model is such that the columns or rows of the matrix defining the linear system are given via quantum circuits of poly-logarithmic depth and the number of circuits is much smaller than their Hilbert space dimension. Our algorithms have poly-logarithmic dependence on the dimension and polynomial dependence in other natu","authors_text":"Bujiao Wu, Liming Zhao, Maharshi Ray, Patrick Rebentrost, Xiaoming Sun","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2020-09-28T12:59:27Z","title":"Quantum-classical algorithms for skewed linear systems with optimized Hadamard test"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2009.13288","kind":"arxiv","version":1},"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:f5b3ed83ad47b0677e051f6bdba835205a8169197e61350ded8b69dd8440d686","target":"record","created_at":"2026-07-05T02:35:18Z","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":"51e08c986852e73c142566b61a4a128cdd7c1334cb3e49858df9434d1abba952","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2020-09-28T12:59:27Z","title_canon_sha256":"6ab907862adb6219846fd9733a0f1266ad087a2d872f3c081fd78431f731d57c"},"schema_version":"1.0","source":{"id":"2009.13288","kind":"arxiv","version":1}},"canonical_sha256":"faf9f07fb30e18b75dece55e1666bd00af619017083516be822f26ef2efcb416","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"faf9f07fb30e18b75dece55e1666bd00af619017083516be822f26ef2efcb416","first_computed_at":"2026-07-05T02:35:18.578244Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:35:18.578244Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QJSmaPgn9/9ZW2TvcPAX7KKl3qkXx15T11woIFefPfOwa56V1DJVN2/PcIieRkKqXrB5FIKDSyC9zf0+LN/cAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:35:18.578703Z","signed_message":"canonical_sha256_bytes"},"source_id":"2009.13288","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f5b3ed83ad47b0677e051f6bdba835205a8169197e61350ded8b69dd8440d686","sha256:7d4fcc0ad7c18aa44e85fe3ccdd909a70e29a35fcd9249604623d50e815338ae"],"state_sha256":"cd904e66fe4490a4b3af646413fc65f229d02418ccca840a931c3894c4944ecc"}