{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:72PR5X2RYPBUORIIKSMDFHWFTA","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":"8dc08bc8ab17a12bca7480aa37429e3c7772faf47075faa57bc61cf6dfd163b0","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-05-07T11:32:39Z","title_canon_sha256":"dadd3a3b16b407fc791bfc835ab908325d7178f94f368da0e30e54c2498ab002"},"schema_version":"1.0","source":{"id":"1305.1472","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.1472","created_at":"2026-05-18T03:02:21Z"},{"alias_kind":"arxiv_version","alias_value":"1305.1472v2","created_at":"2026-05-18T03:02:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.1472","created_at":"2026-05-18T03:02:21Z"},{"alias_kind":"pith_short_12","alias_value":"72PR5X2RYPBU","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"72PR5X2RYPBUORII","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"72PR5X2R","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:aca2cdc5c8c08dbe410a42ae28a90a126c7dbf1f2a49f3b4d15f84df88e08d1d","target":"graph","created_at":"2026-05-18T03:02:21Z","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":"Fidelity and relative entropy are two significant quantities in quantum information theory. We study the quantum fidelity and relative entropy under unitary orbits. The maximal and minimal quantum fidelity and relative entropy between two unitary orbits are explicitly derived. The potential applications in quantum computation and information processing are discussed.","authors_text":"Lin Zhang, Shao-Ming Fei","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-05-07T11:32:39Z","title":"Quantum fidelity and relative entropy between unitary orbits"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.1472","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":"sha256:5be8e8952234df79bd3070eb84318233e57ae594b4f4e23daba0a964738b77dd","target":"record","created_at":"2026-05-18T03:02:21Z","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":"8dc08bc8ab17a12bca7480aa37429e3c7772faf47075faa57bc61cf6dfd163b0","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-05-07T11:32:39Z","title_canon_sha256":"dadd3a3b16b407fc791bfc835ab908325d7178f94f368da0e30e54c2498ab002"},"schema_version":"1.0","source":{"id":"1305.1472","kind":"arxiv","version":2}},"canonical_sha256":"fe9f1edf51c3c34745085498329ec59827a03799b697f4411e72622c09b336d5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fe9f1edf51c3c34745085498329ec59827a03799b697f4411e72622c09b336d5","first_computed_at":"2026-05-18T03:02:21.054735Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:02:21.054735Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MyG1P0D3RNctePPG07/yPFDxRIIMM4s2YqEX+5RY7BOTJVrnCtV5+ggc6APuUEBUGKJtp4XT/7kxoTTCUwI0Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:02:21.055413Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.1472","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5be8e8952234df79bd3070eb84318233e57ae594b4f4e23daba0a964738b77dd","sha256:aca2cdc5c8c08dbe410a42ae28a90a126c7dbf1f2a49f3b4d15f84df88e08d1d"],"state_sha256":"10506c9aa39985c045f1005dddfd3ca19afc90e54b3d66ff469a92e1b22fd2ea"}