{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:NTAIAIYVCOZHL6R6HWN4UQHHWI","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":"dbfec494ac6be58ee40838a28fe976ee9495abd08aedc4325670f791fe34c42e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-10-24T01:30:44Z","title_canon_sha256":"39ca18fd9391fd2dd0cb99d1adea2adc0087e3a17e28b565698d022b8284f615"},"schema_version":"1.0","source":{"id":"1110.5109","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.5109","created_at":"2026-05-18T04:10:23Z"},{"alias_kind":"arxiv_version","alias_value":"1110.5109v2","created_at":"2026-05-18T04:10:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.5109","created_at":"2026-05-18T04:10:23Z"},{"alias_kind":"pith_short_12","alias_value":"NTAIAIYVCOZH","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"NTAIAIYVCOZHL6R6","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"NTAIAIYV","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:a124d4bb082fb972e6a9b3315c04e46c2c176aab85e6aa58d9235b61a6575cf8","target":"graph","created_at":"2026-05-18T04:10:23Z","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":"We prove the condition for local trace-preserving channels to create quantum correlation from initially classical states. For two-qubit states, the necessary and sufficient condition for a channel that cannot create quantum correlation in any initially classical state is that it is either a completely decohering channel or a mixing channel. For states in higher dimensions, we show that even a mixing channel can create quantum correlation from a classically correlated state. Our results reveal that mixedness is important for creation of quantum correlation in high-dimension quantum systems.","authors_text":"Duan-Lu Zhou, Heng Fan, Wu-Ming Liu, Xueyuan Hu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-10-24T01:30:44Z","title":"Conditions on local operations to create quantum correlation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.5109","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:e71c0a266a0b6b7498997c04925f59b8060b3e04d2abb42060b16b48f16af33c","target":"record","created_at":"2026-05-18T04:10:23Z","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":"dbfec494ac6be58ee40838a28fe976ee9495abd08aedc4325670f791fe34c42e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-10-24T01:30:44Z","title_canon_sha256":"39ca18fd9391fd2dd0cb99d1adea2adc0087e3a17e28b565698d022b8284f615"},"schema_version":"1.0","source":{"id":"1110.5109","kind":"arxiv","version":2}},"canonical_sha256":"6cc080231513b275fa3e3d9bca40e7b2187f711565fae2f2b72e4a5d010ff582","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6cc080231513b275fa3e3d9bca40e7b2187f711565fae2f2b72e4a5d010ff582","first_computed_at":"2026-05-18T04:10:23.127383Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:10:23.127383Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EOJ9/yKvoYjynz/HrN6IiJ1IkYi3ZQ1X0Hrvb2O2AVoSORT9QGP5f0gRC3nqXt8zio0aF7yi/qK0xTvPE3PTBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:10:23.128067Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.5109","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e71c0a266a0b6b7498997c04925f59b8060b3e04d2abb42060b16b48f16af33c","sha256:a124d4bb082fb972e6a9b3315c04e46c2c176aab85e6aa58d9235b61a6575cf8"],"state_sha256":"b0eec9250d71fc5c7208bb6588be604840b80e84194d61ff36867b2a4cfd14dd"}