{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:WSZPGA566FKAJNKZFTHEZPWGLN","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":"2aca3ac86bf4e6ee51a0e9d1b341a9568697f2906985f9587acf157c529821da","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-07-14T21:46:15Z","title_canon_sha256":"43f5b441c68790d210ba6f2989364fe9ffa78055eb3ed778f9094210510363e8"},"schema_version":"1.0","source":{"id":"1107.2958","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.2958","created_at":"2026-05-18T04:18:14Z"},{"alias_kind":"arxiv_version","alias_value":"1107.2958v1","created_at":"2026-05-18T04:18:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.2958","created_at":"2026-05-18T04:18:14Z"},{"alias_kind":"pith_short_12","alias_value":"WSZPGA566FKA","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"WSZPGA566FKAJNKZ","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"WSZPGA56","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:ac4fda4fe8bc1011d74154bd4cedcb8ecdd770dba4dc2f2c2b9cf9490e4a8c57","target":"graph","created_at":"2026-05-18T04:18:14Z","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":"A symmetric measure of quantum correlation based on the Hilbert-Schmidt distance is presented in this paper. For two-qubit states, we simplify considerably the optimization procedure so that numerical evaluation can be performed efficiently. Analytical expressions for the quantum correlation are attained for some special states. We further investigate the dynamics of quantum correlation of the system qubits in the presence of independent dissipative environments. Several nontrivial aspects are demonstrated. We find that the quantum correlation can increase even if the system state is suffering","authors_text":"Fengjian Jiang, Jiangfeng Du, Mingjun Shi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-07-14T21:46:15Z","title":"Symmetric geometric measure and dynamics of quantum discord"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.2958","kind":"arxiv","version":1},"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":"sha256:8e82056e73c78f61f3b0939ef6623db67f911b5cfe0d01e4003e335547e62e2b","target":"record","created_at":"2026-05-18T04:18:14Z","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":"2aca3ac86bf4e6ee51a0e9d1b341a9568697f2906985f9587acf157c529821da","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-07-14T21:46:15Z","title_canon_sha256":"43f5b441c68790d210ba6f2989364fe9ffa78055eb3ed778f9094210510363e8"},"schema_version":"1.0","source":{"id":"1107.2958","kind":"arxiv","version":1}},"canonical_sha256":"b4b2f303bef15404b5592cce4cbec65b706ca585f216906a56659c11a503b31d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b4b2f303bef15404b5592cce4cbec65b706ca585f216906a56659c11a503b31d","first_computed_at":"2026-05-18T04:18:14.962679Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:18:14.962679Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"X3+jiZFm4+JFDShU9tGJY0Paea6y4CkOdjDSn75H2ioFYpZ/y3Y2wyn8nmyW9qYSmsSoIFQ4xmTYZYquBSxhBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:18:14.963152Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.2958","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8e82056e73c78f61f3b0939ef6623db67f911b5cfe0d01e4003e335547e62e2b","sha256:ac4fda4fe8bc1011d74154bd4cedcb8ecdd770dba4dc2f2c2b9cf9490e4a8c57"],"state_sha256":"818c3730ee854524cad92f2945257a0042b5ebbfce65fe16f663b9f510244fab"}