{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:4QKCS7DA4HALOH3XKIF65WXPF3","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":"b0735afb6ddd1bdc493e533e5c036c771fe8543575cd0e4f30a9935f4b5fe6b8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-01-18T09:13:47Z","title_canon_sha256":"b16564be7d9037815132b2297bf1554232ab001a51e58bbbd642131f4745187e"},"schema_version":"1.0","source":{"id":"1101.3408","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.3408","created_at":"2026-05-18T02:03:26Z"},{"alias_kind":"arxiv_version","alias_value":"1101.3408v3","created_at":"2026-05-18T02:03:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.3408","created_at":"2026-05-18T02:03:26Z"},{"alias_kind":"pith_short_12","alias_value":"4QKCS7DA4HAL","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"4QKCS7DA4HALOH3X","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"4QKCS7DA","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:0dda76a55f70f5f8a929b697cb888bf1355fb9f77b5c266aaf8ab9839b9375b0","target":"graph","created_at":"2026-05-18T02:03:26Z","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 original definition of quantum discord of bipartite states was defined over one-sided projective measurements, it describes quantum correlation more extensively than entanglement. Dakic, Vedral, and Brukner [Phys. Rev. Lett. 105 (2010) 190502] introduced a geometric measure for this quantum discord, and Luo, Fu [Phys. Rev. A 82 (2010) 034302] simplified the variation expression of it. In this paper we introduce a geometric measure for the quantum discord over two-sided projective measurements. A simplified expression and a lower bound of this geometric measure are derived and explicit expr","authors_text":"Jianwei Xu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-01-18T09:13:47Z","title":"Geometric measure of quantum discord over two-sided projective measurements"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.3408","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":"sha256:7d8f6b8b4ab701235aa168df69a7272ab7ea65f224acccbf6e626d43af6e1274","target":"record","created_at":"2026-05-18T02:03:26Z","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":"b0735afb6ddd1bdc493e533e5c036c771fe8543575cd0e4f30a9935f4b5fe6b8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-01-18T09:13:47Z","title_canon_sha256":"b16564be7d9037815132b2297bf1554232ab001a51e58bbbd642131f4745187e"},"schema_version":"1.0","source":{"id":"1101.3408","kind":"arxiv","version":3}},"canonical_sha256":"e414297c60e1c0b71f77520beedaef2eee32b42a0ad77092ff02c1ca33816903","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e414297c60e1c0b71f77520beedaef2eee32b42a0ad77092ff02c1ca33816903","first_computed_at":"2026-05-18T02:03:26.902685Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:03:26.902685Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VREsXRhzry00qMsgIi50p24JjNMz7tSnH+wD5xd4U300gIp6cKowDhSMyomfRRXvvVVbpUz2mFyUjvygzfl8Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:03:26.903056Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.3408","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7d8f6b8b4ab701235aa168df69a7272ab7ea65f224acccbf6e626d43af6e1274","sha256:0dda76a55f70f5f8a929b697cb888bf1355fb9f77b5c266aaf8ab9839b9375b0"],"state_sha256":"e01d5ba967752d3ccd9ca88114534e4d9d108c67d55b270fdb8c9b82db1d1492"}