{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:C2YHVEHIT3RUUNFTJZH6LGLD5Q","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":"eacba8917b8d94f40d4e3bf439756d8da2ea87523dc0fcfab81ccfd0feca7bf1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-06-13T14:23:24Z","title_canon_sha256":"3bf2b67c0125dee3c050a407f1655e84429d47635f9badea29c4d0933d4c54dc"},"schema_version":"1.0","source":{"id":"1806.05080","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.05080","created_at":"2026-05-18T00:13:20Z"},{"alias_kind":"arxiv_version","alias_value":"1806.05080v1","created_at":"2026-05-18T00:13:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.05080","created_at":"2026-05-18T00:13:20Z"},{"alias_kind":"pith_short_12","alias_value":"C2YHVEHIT3RU","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"C2YHVEHIT3RUUNFT","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"C2YHVEHI","created_at":"2026-05-18T12:32:16Z"}],"graph_snapshots":[{"event_id":"sha256:58c80fdb0684110c23c73431564ce682c027a720f53ddd577aaf56ffa2ca849d","target":"graph","created_at":"2026-05-18T00:13:20Z","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 consider the optimal approximation of arbitrary qubit states with respect to an available states consisting the eigenstates of two of three Pauli matrices, the $B_2$-distance of an arbitrary target state. Both the analytical formulae of the $B_2$-distance and the corresponding complete optimal decompositions are obtained. The tradeoff relations for both the sum and the squared sum of the $B_2$-distances have been analytically and numerically investigated.","authors_text":"Biao-Liang Ye, Bo Li, Shao-Ming Fei, Xianqing Li-Jost, Xiao-Bin Liang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-06-13T14:23:24Z","title":"Complete Optimal Convex Approximations of Qubit States under $B_2$ Distance"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.05080","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:d350b449b8d07f36ebe6fdb1524ea024c6ba6e237eb26806ca4227ce313fdc04","target":"record","created_at":"2026-05-18T00:13:20Z","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":"eacba8917b8d94f40d4e3bf439756d8da2ea87523dc0fcfab81ccfd0feca7bf1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-06-13T14:23:24Z","title_canon_sha256":"3bf2b67c0125dee3c050a407f1655e84429d47635f9badea29c4d0933d4c54dc"},"schema_version":"1.0","source":{"id":"1806.05080","kind":"arxiv","version":1}},"canonical_sha256":"16b07a90e89ee34a34b34e4fe59963ec194040197255dbf794afd510ce212c9e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"16b07a90e89ee34a34b34e4fe59963ec194040197255dbf794afd510ce212c9e","first_computed_at":"2026-05-18T00:13:20.177889Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:13:20.177889Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"83J+D5cgYZCvFhfB4qJ9mZO/f3QiQPGl9IpFlBqHsO/NsW/xWl9D2sBowERkuM9JLWdMFiZq6zRqpNtIA0W+Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:13:20.178533Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.05080","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d350b449b8d07f36ebe6fdb1524ea024c6ba6e237eb26806ca4227ce313fdc04","sha256:58c80fdb0684110c23c73431564ce682c027a720f53ddd577aaf56ffa2ca849d"],"state_sha256":"be23f2816e58b275ecee93de3e64a3075813ca3b6f67570401633c7cb6a6a38f"}