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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 "},"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":"1304.6275","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2013-04-23T13:03:09Z","cross_cats_sorted":[],"title_canon_sha256":"45ca56fbc7ea7eaed81520bb0b9c4696f9dedcc82cdd4db70ddcd107aaed0a0d","abstract_canon_sha256":"71904fe182ee91dccda4305c5522b7928e899f9a7199458349e88b67d7888e74"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:22:07.585920Z","signature_b64":"ok9tkDLumRGoQXKDnhgKKc1oqN/aIXp8SDdzxjp5chMaVR9xfNsvQ1QZuPTFfmsVjgXlwfvOGnCM2nfcvFkxBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b70dbdd849a31d8e71467ca6f44ecb4c25a5373f0da81605f0526abfe7ef6b9e","last_reissued_at":"2026-05-18T03:22:07.585357Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:22:07.585357Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Relationship among locally maximally entanglable states, W states and hypergraph states under local unitary transformations","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Bo Wang, Ri Qu, Yan-ru Bao, Yi-ping Ma","submitted_at":"2013-04-23T13:03:09Z","abstract_excerpt":"Kruszynska and Kraus [Phys. 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