{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:Z6CRJ3476COXCFCSEKW47H5TFW","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":"8f0db0d76556e2a48d70b08ef6a35ab6a5c7dc37d9f069798edd3e8c45ecb2b6","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2013-06-04T12:25:34Z","title_canon_sha256":"807db7233600e41222653be234898e8da36dd22c0a2e07df4da22a7e03914689"},"schema_version":"1.0","source":{"id":"1306.0742","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.0742","created_at":"2026-05-18T03:21:53Z"},{"alias_kind":"arxiv_version","alias_value":"1306.0742v1","created_at":"2026-05-18T03:21:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.0742","created_at":"2026-05-18T03:21:53Z"},{"alias_kind":"pith_short_12","alias_value":"Z6CRJ3476COX","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"Z6CRJ3476COXCFCS","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"Z6CRJ347","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:29f128b7c436926fe73e387726e3f19cf11069681806fcd01f410a8f48a7f804","target":"graph","created_at":"2026-05-18T03:21:53Z","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 investigate the relationship between locally maximally entangleable (LME) states and W-type states which are equivalent to a W state under stochastic local operations and classical communication (SLOCC). We prove that (i) some special W-type states of three qubits are LME; and (ii) no W-type state of four and more qubits is LME. Our results show that the W state of four and more qubits cannot be prepared by using LME states under SLOCC. However, for three qubits some special LME states can be used to prepare the W state under SLOCC.","authors_text":"Juan Wang, Ri Qu, Yan-ru Bao, Zong-shang Li","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2013-06-04T12:25:34Z","title":"Locally maximally entangleable states and W-type states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.0742","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:ec8d436ebfd2122615db7120ea14b16012a5ba14984a12f12e1ea3779509300c","target":"record","created_at":"2026-05-18T03:21:53Z","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":"8f0db0d76556e2a48d70b08ef6a35ab6a5c7dc37d9f069798edd3e8c45ecb2b6","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2013-06-04T12:25:34Z","title_canon_sha256":"807db7233600e41222653be234898e8da36dd22c0a2e07df4da22a7e03914689"},"schema_version":"1.0","source":{"id":"1306.0742","kind":"arxiv","version":1}},"canonical_sha256":"cf8514ef9ff09d71145222adcf9fb32d86d7f01244106b6c47d78925a0af9f94","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cf8514ef9ff09d71145222adcf9fb32d86d7f01244106b6c47d78925a0af9f94","first_computed_at":"2026-05-18T03:21:53.327111Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:21:53.327111Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1ozKuwLraAvxGr9zvSdasDpN+r6mgwhVAVrwm7JmxYqH2PmpSLlpDQSq2LdgvT9ldYBtDZK4ApS0NKBo4XTlCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:21:53.327854Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.0742","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ec8d436ebfd2122615db7120ea14b16012a5ba14984a12f12e1ea3779509300c","sha256:29f128b7c436926fe73e387726e3f19cf11069681806fcd01f410a8f48a7f804"],"state_sha256":"1c7a5cf4b14596eca0a092f3f2d3f01a5c1edd8fa160c759bd2d3f4aa289fcde"}