{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:52MQ77Y2R6KGNXO7SS3A2HVRQL","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":"e262ed064442547be0ba828dd4282581067449e2643703c7a1848503a52e42f6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-08-19T20:42:31Z","title_canon_sha256":"e6e6249d4036d1d3eed11a7d3936756373427114f1fd470ed2b07211f2b00100"},"schema_version":"1.0","source":{"id":"1408.4477","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.4477","created_at":"2026-05-18T01:42:17Z"},{"alias_kind":"arxiv_version","alias_value":"1408.4477v2","created_at":"2026-05-18T01:42:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.4477","created_at":"2026-05-18T01:42:17Z"},{"alias_kind":"pith_short_12","alias_value":"52MQ77Y2R6KG","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"52MQ77Y2R6KGNXO7","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"52MQ77Y2","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:d1ff2a86433e2114302f405fa2e0b3520f84c34ecb796051399f92321e653b65","target":"graph","created_at":"2026-05-18T01:42:17Z","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":"Especially investigated in recent years, the Gaussian discord can be quantified by a distance between a given two-mode Gaussian state and the set of all the zero-discord two-mode Gaussian states. However, as this set consists only of product states, such a distance captures all the correlations (quantum and classical) between modes. Therefore it is merely un upper bound for the geometric discord, no matter which is the employed distance. In this work we choose for this purpose the Hellinger metric that is known to have many beneficial properties recommending it as a good measure of quantum beh","authors_text":"Paulina Marian, Tudor A. Marian","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-08-19T20:42:31Z","title":"Hellinger distance as a measure of Gaussian discord"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.4477","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":"sha256:72ec5539d8d6627c8c31d9454db35434a87f343e4850700ee77eade2667de3f8","target":"record","created_at":"2026-05-18T01:42:17Z","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":"e262ed064442547be0ba828dd4282581067449e2643703c7a1848503a52e42f6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-08-19T20:42:31Z","title_canon_sha256":"e6e6249d4036d1d3eed11a7d3936756373427114f1fd470ed2b07211f2b00100"},"schema_version":"1.0","source":{"id":"1408.4477","kind":"arxiv","version":2}},"canonical_sha256":"ee990fff1a8f9466dddf94b60d1eb182fc6209992a79e8ec8de314ae4d42a71b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ee990fff1a8f9466dddf94b60d1eb182fc6209992a79e8ec8de314ae4d42a71b","first_computed_at":"2026-05-18T01:42:17.082510Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:42:17.082510Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UO8jWvTIGtspS519sl/cY5dBBCvl7I+4vkekJp7RGM5xPnZuDhoJ7VQKk4BZtbtbxcRfPxvO26RP4TcWGowJAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:42:17.083927Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.4477","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:72ec5539d8d6627c8c31d9454db35434a87f343e4850700ee77eade2667de3f8","sha256:d1ff2a86433e2114302f405fa2e0b3520f84c34ecb796051399f92321e653b65"],"state_sha256":"a4b5a9d5d0aa302b7570309dcf3cca81f5777f14729fed5c2977a132c8f1fc53"}