{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:ZFF4HIQRZR46R6NSZOSI45AGAX","short_pith_number":"pith:ZFF4HIQR","schema_version":"1.0","canonical_sha256":"c94bc3a211cc79e8f9b2cba48e740605e185793bdb1fb2223fd9a838e22b4f82","source":{"kind":"arxiv","id":"1401.3154","version":1},"attestation_state":"computed","paper":{"title":"Fidelity susceptibility and quantum Fisher information for density operators with arbitrary ranks","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Fei Song, Heng-Na Xiong, Jing Liu, Xiaoguang Wang","submitted_at":"2014-01-14T11:54:43Z","abstract_excerpt":"Taking into account the density matrices with non-full ranks, we show that the fidelity susceptibility is determined by the support of the density matrix. Combining with the corresponding expression of the quantum Fisher information, we rigorously prove that the fidelity susceptibility is proportional to the quantum Fisher information. As this proof can be naturally extended to the full rank case, this proportional relation is generally established for density matrices with arbitrary ranks. Furthermore, we give an analytical expression of the quantum Fisher information matrix, and show that th"},"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":"1401.3154","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"quant-ph","submitted_at":"2014-01-14T11:54:43Z","cross_cats_sorted":[],"title_canon_sha256":"9e8a6f1e93df9e88b75bb6ecdc00b398657b67b9ea5a5a7966067d6da89327ad","abstract_canon_sha256":"5efc67b58413fbee2ce93ba814984b747a7de23a890a1c0039473170e2634c61"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:51:01.014686Z","signature_b64":"TPws8w1X2SMQK+ilQIXlpJa59qs8/aZAAjVz0af4ASsMwYI8Oy12o/MfkbSkBU7B+wd5YZY9mgmjfGiH+pJ1Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c94bc3a211cc79e8f9b2cba48e740605e185793bdb1fb2223fd9a838e22b4f82","last_reissued_at":"2026-05-18T02:51:01.014249Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:51:01.014249Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fidelity susceptibility and quantum Fisher information for density operators with arbitrary ranks","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Fei Song, Heng-Na Xiong, Jing Liu, Xiaoguang Wang","submitted_at":"2014-01-14T11:54:43Z","abstract_excerpt":"Taking into account the density matrices with non-full ranks, we show that the fidelity susceptibility is determined by the support of the density matrix. Combining with the corresponding expression of the quantum Fisher information, we rigorously prove that the fidelity susceptibility is proportional to the quantum Fisher information. As this proof can be naturally extended to the full rank case, this proportional relation is generally established for density matrices with arbitrary ranks. Furthermore, we give an analytical expression of the quantum Fisher information matrix, and show that th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.3154","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":""},"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":"1401.3154","created_at":"2026-05-18T02:51:01.014310+00:00"},{"alias_kind":"arxiv_version","alias_value":"1401.3154v1","created_at":"2026-05-18T02:51:01.014310+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.3154","created_at":"2026-05-18T02:51:01.014310+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZFF4HIQRZR46","created_at":"2026-05-18T12:28:59.999130+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZFF4HIQRZR46R6NS","created_at":"2026-05-18T12:28:59.999130+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZFF4HIQR","created_at":"2026-05-18T12:28:59.999130+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ZFF4HIQRZR46R6NSZOSI45AGAX","json":"https://pith.science/pith/ZFF4HIQRZR46R6NSZOSI45AGAX.json","graph_json":"https://pith.science/api/pith-number/ZFF4HIQRZR46R6NSZOSI45AGAX/graph.json","events_json":"https://pith.science/api/pith-number/ZFF4HIQRZR46R6NSZOSI45AGAX/events.json","paper":"https://pith.science/paper/ZFF4HIQR"},"agent_actions":{"view_html":"https://pith.science/pith/ZFF4HIQRZR46R6NSZOSI45AGAX","download_json":"https://pith.science/pith/ZFF4HIQRZR46R6NSZOSI45AGAX.json","view_paper":"https://pith.science/paper/ZFF4HIQR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1401.3154&json=true","fetch_graph":"https://pith.science/api/pith-number/ZFF4HIQRZR46R6NSZOSI45AGAX/graph.json","fetch_events":"https://pith.science/api/pith-number/ZFF4HIQRZR46R6NSZOSI45AGAX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZFF4HIQRZR46R6NSZOSI45AGAX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZFF4HIQRZR46R6NSZOSI45AGAX/action/storage_attestation","attest_author":"https://pith.science/pith/ZFF4HIQRZR46R6NSZOSI45AGAX/action/author_attestation","sign_citation":"https://pith.science/pith/ZFF4HIQRZR46R6NSZOSI45AGAX/action/citation_signature","submit_replication":"https://pith.science/pith/ZFF4HIQRZR46R6NSZOSI45AGAX/action/replication_record"}},"created_at":"2026-05-18T02:51:01.014310+00:00","updated_at":"2026-05-18T02:51:01.014310+00:00"}