{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:VFARO2L7HFGTJ6PL3CTM6KUXDC","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":"fc469e1fa0185a706fb23d2baa4d6a924e35b1545ca8c2c29476cacf63f7ccec","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-04-17T07:58:18Z","title_canon_sha256":"72bc7d5f05d3769b575eac6ddf164438b7a0226fd3e18bb53cdbb72491dbe7f7"},"schema_version":"1.0","source":{"id":"1804.06090","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.06090","created_at":"2026-05-18T00:05:14Z"},{"alias_kind":"arxiv_version","alias_value":"1804.06090v3","created_at":"2026-05-18T00:05:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.06090","created_at":"2026-05-18T00:05:14Z"},{"alias_kind":"pith_short_12","alias_value":"VFARO2L7HFGT","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"VFARO2L7HFGTJ6PL","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"VFARO2L7","created_at":"2026-05-18T12:32:59Z"}],"graph_snapshots":[{"event_id":"sha256:98c151e1d444afefbfa24c5b15da7938f7881852ed44e1c16bdf8b655030761b","target":"graph","created_at":"2026-05-18T00:05:14Z","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":"Coherence measures and their operational interpretations lay the cornerstone of coherence theory. In this paper, we introduce a class of coherence measures with $\\alpha$-affinity, say $\\alpha$-affinity of coherence for $\\alpha \\in (0, 1)$. Furthermore, we obtain the analytic formulae for these coherence measures and study their corresponding convex roof extension. We provide an operational interpretation for $1/2$-affinity of coherence by showing that it is equal to the error probability to discrimination a set of pure states with the least square measurement. Employing this relationship we re","authors_text":"Asutosh Kumar, Chunhe Xiong, Junde Wu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-04-17T07:58:18Z","title":"Family of coherence measures and duality between quantum coherence and path distinguishability"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.06090","kind":"arxiv","version":3},"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:b8bbf9ad545baa3c2f2c5056af8a3d3483695e207f15fcbb82b69479d5ef3d7a","target":"record","created_at":"2026-05-18T00:05:14Z","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":"fc469e1fa0185a706fb23d2baa4d6a924e35b1545ca8c2c29476cacf63f7ccec","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-04-17T07:58:18Z","title_canon_sha256":"72bc7d5f05d3769b575eac6ddf164438b7a0226fd3e18bb53cdbb72491dbe7f7"},"schema_version":"1.0","source":{"id":"1804.06090","kind":"arxiv","version":3}},"canonical_sha256":"a94117697f394d34f9ebd8a6cf2a97189729f770a68aece0384ebeafb905d6c1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a94117697f394d34f9ebd8a6cf2a97189729f770a68aece0384ebeafb905d6c1","first_computed_at":"2026-05-18T00:05:14.158810Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:05:14.158810Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sLwYQY7ZEC5Nd4aIvlMgTd3EIiA+k2DO005YhEkUWjDTbsrPvqiZ0r1Qgi1w5w6qKKDRrOph0yBGq+mg6lv0CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:05:14.159443Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.06090","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b8bbf9ad545baa3c2f2c5056af8a3d3483695e207f15fcbb82b69479d5ef3d7a","sha256:98c151e1d444afefbfa24c5b15da7938f7881852ed44e1c16bdf8b655030761b"],"state_sha256":"b37d75e447777eee422391b5e9cbcfbf933db2c914c8e7be41a5388a72f9f5f5"}