{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:W4G33WCJUMOY44KGPSTPITWLJQ","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":"71904fe182ee91dccda4305c5522b7928e899f9a7199458349e88b67d7888e74","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2013-04-23T13:03:09Z","title_canon_sha256":"45ca56fbc7ea7eaed81520bb0b9c4696f9dedcc82cdd4db70ddcd107aaed0a0d"},"schema_version":"1.0","source":{"id":"1304.6275","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.6275","created_at":"2026-05-18T03:22:07Z"},{"alias_kind":"arxiv_version","alias_value":"1304.6275v2","created_at":"2026-05-18T03:22:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.6275","created_at":"2026-05-18T03:22:07Z"},{"alias_kind":"pith_short_12","alias_value":"W4G33WCJUMOY","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"W4G33WCJUMOY44KG","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"W4G33WCJ","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:b8bcd7b2f071864961bb0ff73a4e4a393bf6f79ea956f1ee931711624a31946b","target":"graph","created_at":"2026-05-18T03:22:07Z","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":"Kruszynska and Kraus [Phys. Rev. A 79, 052304 (2009)] have recently introduced the so-called locally maximally entanglable (LME) states of n qubits which can be maximally entangled to local auxiliary qubits using controlled operations. We characterize the local entanglability of hypergraph states and W states using an approach in [Phys. Rev. A 79, 052304 (2009)]. We show that (i) all hypergraph states are LME; (ii) hypergraph states and LME states are not equivalent under local unitaries; (iii) a W state of n qubits is not LME; and (iv) no hypergraph state of n qubits can be converted into to ","authors_text":"Bo Wang, Ri Qu, Yan-ru Bao, Yi-ping Ma","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2013-04-23T13:03:09Z","title":"Relationship among locally maximally entanglable states, W states and hypergraph states under local unitary transformations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.6275","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:db9be87cbb16f2cfc317ba706bb8b4d097d4a82ad6bb3129780784803d98492b","target":"record","created_at":"2026-05-18T03:22:07Z","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":"71904fe182ee91dccda4305c5522b7928e899f9a7199458349e88b67d7888e74","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2013-04-23T13:03:09Z","title_canon_sha256":"45ca56fbc7ea7eaed81520bb0b9c4696f9dedcc82cdd4db70ddcd107aaed0a0d"},"schema_version":"1.0","source":{"id":"1304.6275","kind":"arxiv","version":2}},"canonical_sha256":"b70dbdd849a31d8e71467ca6f44ecb4c25a5373f0da81605f0526abfe7ef6b9e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b70dbdd849a31d8e71467ca6f44ecb4c25a5373f0da81605f0526abfe7ef6b9e","first_computed_at":"2026-05-18T03:22:07.585357Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:22:07.585357Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ok9tkDLumRGoQXKDnhgKKc1oqN/aIXp8SDdzxjp5chMaVR9xfNsvQ1QZuPTFfmsVjgXlwfvOGnCM2nfcvFkxBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:22:07.585920Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.6275","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:db9be87cbb16f2cfc317ba706bb8b4d097d4a82ad6bb3129780784803d98492b","sha256:b8bcd7b2f071864961bb0ff73a4e4a393bf6f79ea956f1ee931711624a31946b"],"state_sha256":"ae0b4d18fd4f586be29a8726bc8bc00d8a6baa7d8a36250cbc3bc3cd439d7368"}