{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:YTLIOJ2QYYTUL5N5QO2TBC3ARZ","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":"001e48dd6bf321db3fb8a6ba33bb2c962ea1117f3066d725a9eef935d2111bbc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-06-14T13:51:59Z","title_canon_sha256":"07df3cfd70c0a6244dce6f5ccc5db8fce157885b95be1e49cb4bc611edc9a5a3"},"schema_version":"1.0","source":{"id":"0906.2538","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0906.2538","created_at":"2026-05-18T04:34:09Z"},{"alias_kind":"arxiv_version","alias_value":"0906.2538v2","created_at":"2026-05-18T04:34:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.2538","created_at":"2026-05-18T04:34:09Z"},{"alias_kind":"pith_short_12","alias_value":"YTLIOJ2QYYTU","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"YTLIOJ2QYYTUL5N5","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"YTLIOJ2Q","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:98ac83f4a2c1efac5071a6a42f8f19dcfea69bf8e1f1defb1708ca396ce926ac","target":"graph","created_at":"2026-05-18T04:34:09Z","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 propose a quantum algorithm for finding eigenvalues of non-unitary matrices. We show how to construct, through interactions in a quantum system and projective measurements, a non-Hermitian or non-unitary matrix and obtain its eigenvalues and eigenvectors. This proposal combines ideas of frequent measurement, measured quantum Fourier transform, and quantum state tomography. It provides a generalization of the conventional phase estimation algorithm, which is limited to Hermitian or unitary matrices.","authors_text":"Franco Nori, Hefeng Wang, Lian-Ao Wu, Yu-xi Liu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-06-14T13:51:59Z","title":"Measurement-based quantum phase estimation algorithm for finding eigenvalues of non-unitary matrices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.2538","kind":"arxiv","version":2},"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":"sha256:68fc013f75681ce53dace2b6b3d931c8b2819f346734b258e548e6dadabd80e0","target":"record","created_at":"2026-05-18T04:34:09Z","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":"001e48dd6bf321db3fb8a6ba33bb2c962ea1117f3066d725a9eef935d2111bbc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-06-14T13:51:59Z","title_canon_sha256":"07df3cfd70c0a6244dce6f5ccc5db8fce157885b95be1e49cb4bc611edc9a5a3"},"schema_version":"1.0","source":{"id":"0906.2538","kind":"arxiv","version":2}},"canonical_sha256":"c4d6872750c62745f5bd83b5308b608e47a6c38aa2a68e9a1e5f246c6a493e7d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c4d6872750c62745f5bd83b5308b608e47a6c38aa2a68e9a1e5f246c6a493e7d","first_computed_at":"2026-05-18T04:34:09.020779Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:34:09.020779Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BVsvUzPq9kJ6uR4IDQBUhL7YlUxDHChHfm3YPliR+W3DFsLiCsHjy5zbeD9zOnUwt9Zj71NexbEqgxuESVNADw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:34:09.021401Z","signed_message":"canonical_sha256_bytes"},"source_id":"0906.2538","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:68fc013f75681ce53dace2b6b3d931c8b2819f346734b258e548e6dadabd80e0","sha256:98ac83f4a2c1efac5071a6a42f8f19dcfea69bf8e1f1defb1708ca396ce926ac"],"state_sha256":"f3b3daea7cafdc0f51776f5f31034542ab8a23902374827fbd8a1d278b942211"}