{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:2AOOJKJEAIWXF7KOCIN5FLE5BH","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":"b0d47139fc4cdba7e50ef1c69d2a11469d84a33e900170d7efa8e1df467ad5f9","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-03-11T16:20:06Z","title_canon_sha256":"8caae10856785615c261960e62455af2c67a3a42c78b03d838b37533b54a48c0"},"schema_version":"1.0","source":{"id":"1203.2347","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.2347","created_at":"2026-05-18T03:55:23Z"},{"alias_kind":"arxiv_version","alias_value":"1203.2347v3","created_at":"2026-05-18T03:55:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.2347","created_at":"2026-05-18T03:55:23Z"},{"alias_kind":"pith_short_12","alias_value":"2AOOJKJEAIWX","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"2AOOJKJEAIWXF7KO","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"2AOOJKJE","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:94d66b6f6c673f3d70c67f2ba24749ce9574a5d59ad00bf8d73fb9a701c4259c","target":"graph","created_at":"2026-05-18T03:55:23Z","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":"The problem of recognizing (non-)Markovianity of a quantum dynamics is revisited through analyzing quantum correlations. We argue that instantaneously-vanishing quantum discord provides a necessary and sufficient condition for Markovianity of a quantum map. This is used to introduce a measure of non-Markovianity. This measure, however, requires demanding knowledge about the system and the environment. By using a quantum correlation monogamy property and an ancillary system, we propose a simplified measure with less requirements. Non-Markovianity is thereby decided by quantum state tomography o","authors_text":"A. Mani, A. T. Rezakhani, S. Alipour","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-03-11T16:20:06Z","title":"Quantum discord and non-Markovianity of quantum dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.2347","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:a883f82e7ef4cad3d4ca2fcae6bb9498a636359a8fc77eb6ef0b49488a17615b","target":"record","created_at":"2026-05-18T03:55:23Z","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":"b0d47139fc4cdba7e50ef1c69d2a11469d84a33e900170d7efa8e1df467ad5f9","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-03-11T16:20:06Z","title_canon_sha256":"8caae10856785615c261960e62455af2c67a3a42c78b03d838b37533b54a48c0"},"schema_version":"1.0","source":{"id":"1203.2347","kind":"arxiv","version":3}},"canonical_sha256":"d01ce4a924022d72fd4e121bd2ac9d09ef29ad6524023215d8a92edba3fc07e4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d01ce4a924022d72fd4e121bd2ac9d09ef29ad6524023215d8a92edba3fc07e4","first_computed_at":"2026-05-18T03:55:23.147600Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:55:23.147600Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YKsyFq6y+1dPfeRm3e4CkaN+lVNgEQYLGWguTrc66TrEHK90bEBib0CSRbj+pxh0MSKnoiIOfcIWyy8k1bc2AA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:55:23.148298Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.2347","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a883f82e7ef4cad3d4ca2fcae6bb9498a636359a8fc77eb6ef0b49488a17615b","sha256:94d66b6f6c673f3d70c67f2ba24749ce9574a5d59ad00bf8d73fb9a701c4259c"],"state_sha256":"cd0e51820645a38bde5f338fb974ba765dd79e09e514ca0ddbbe3e4cef467770"}