{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:XMBBBIZGPFTCRNF24SNNYFJCW7","short_pith_number":"pith:XMBBBIZG","schema_version":"1.0","canonical_sha256":"bb0210a326796628b4bae49adc1522b7fe0a6a8d0e3f472dbf6c51bdef759257","source":{"kind":"arxiv","id":"1610.08147","version":1},"attestation_state":"computed","paper":{"title":"Maximally entangled state and fully entangled fraction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Ming-Jing Zhao","submitted_at":"2016-10-26T02:11:10Z","abstract_excerpt":"We study maximally entangled states and fully entangled fraction in general d'\\otimes d (d'\\geq d) systems. Necessary and sufficient conditions for maximally entangled pure and mixed states are presented. As a natural generalization of the usual fully entangled fraction for d\\otimes d systems, we define the maximal overlap between a given quantum state and the maximally entangled states as the fully entangled fraction in d'\\otimes d systems. The properties of this fully entangled fraction and its relations to quantum teleportation have been analyzed. The witness for detecting maximally entangl"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1610.08147","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-10-26T02:11:10Z","cross_cats_sorted":[],"title_canon_sha256":"6e2daa8f3d9e2dd53d971c42798584766d555cd2d3512dfb2efd427852560298","abstract_canon_sha256":"c3a0a54928540198e69ffac18c753470e9a967eccc611d52584e5e89a1a2ea04"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:01:14.934601Z","signature_b64":"FW6VHIFSD2CEl0/mwQ1O6obC3cb36wEdtV5FjOtIUBfoTh4qWvGueOOpUp0Q3hmQTj+5LNKsR7fdP4hwo0AFCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bb0210a326796628b4bae49adc1522b7fe0a6a8d0e3f472dbf6c51bdef759257","last_reissued_at":"2026-05-18T01:01:14.933937Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:01:14.933937Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Maximally entangled state and fully entangled fraction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Ming-Jing Zhao","submitted_at":"2016-10-26T02:11:10Z","abstract_excerpt":"We study maximally entangled states and fully entangled fraction in general d'\\otimes d (d'\\geq d) systems. Necessary and sufficient conditions for maximally entangled pure and mixed states are presented. As a natural generalization of the usual fully entangled fraction for d\\otimes d systems, we define the maximal overlap between a given quantum state and the maximally entangled states as the fully entangled fraction in d'\\otimes d systems. The properties of this fully entangled fraction and its relations to quantum teleportation have been analyzed. The witness for detecting maximally entangl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.08147","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1610.08147","created_at":"2026-05-18T01:01:14.934042+00:00"},{"alias_kind":"arxiv_version","alias_value":"1610.08147v1","created_at":"2026-05-18T01:01:14.934042+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.08147","created_at":"2026-05-18T01:01:14.934042+00:00"},{"alias_kind":"pith_short_12","alias_value":"XMBBBIZGPFTC","created_at":"2026-05-18T12:30:51.357362+00:00"},{"alias_kind":"pith_short_16","alias_value":"XMBBBIZGPFTCRNF2","created_at":"2026-05-18T12:30:51.357362+00:00"},{"alias_kind":"pith_short_8","alias_value":"XMBBBIZG","created_at":"2026-05-18T12:30:51.357362+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/XMBBBIZGPFTCRNF24SNNYFJCW7","json":"https://pith.science/pith/XMBBBIZGPFTCRNF24SNNYFJCW7.json","graph_json":"https://pith.science/api/pith-number/XMBBBIZGPFTCRNF24SNNYFJCW7/graph.json","events_json":"https://pith.science/api/pith-number/XMBBBIZGPFTCRNF24SNNYFJCW7/events.json","paper":"https://pith.science/paper/XMBBBIZG"},"agent_actions":{"view_html":"https://pith.science/pith/XMBBBIZGPFTCRNF24SNNYFJCW7","download_json":"https://pith.science/pith/XMBBBIZGPFTCRNF24SNNYFJCW7.json","view_paper":"https://pith.science/paper/XMBBBIZG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1610.08147&json=true","fetch_graph":"https://pith.science/api/pith-number/XMBBBIZGPFTCRNF24SNNYFJCW7/graph.json","fetch_events":"https://pith.science/api/pith-number/XMBBBIZGPFTCRNF24SNNYFJCW7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XMBBBIZGPFTCRNF24SNNYFJCW7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XMBBBIZGPFTCRNF24SNNYFJCW7/action/storage_attestation","attest_author":"https://pith.science/pith/XMBBBIZGPFTCRNF24SNNYFJCW7/action/author_attestation","sign_citation":"https://pith.science/pith/XMBBBIZGPFTCRNF24SNNYFJCW7/action/citation_signature","submit_replication":"https://pith.science/pith/XMBBBIZGPFTCRNF24SNNYFJCW7/action/replication_record"}},"created_at":"2026-05-18T01:01:14.934042+00:00","updated_at":"2026-05-18T01:01:14.934042+00:00"}