{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:QIVUOBZMVTFO32NEQ4ZIZYZQZF","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":"c3242177e48a0ca3c6379f3030a1aa22b1de81232bef7507320914b404e3ece7","cross_cats_sorted":["cond-mat.other","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-04-05T20:02:16Z","title_canon_sha256":"f521217e048ff90528427c5db6b7e3180ab7c20ed52dd17af9ef66f03da4ea96"},"schema_version":"1.0","source":{"id":"1104.0941","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.0941","created_at":"2026-05-18T04:18:54Z"},{"alias_kind":"arxiv_version","alias_value":"1104.0941v2","created_at":"2026-05-18T04:18:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.0941","created_at":"2026-05-18T04:18:54Z"},{"alias_kind":"pith_short_12","alias_value":"QIVUOBZMVTFO","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"QIVUOBZMVTFO32NE","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"QIVUOBZM","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:0340998b6b3f585fdfc9b1ebfa9a8c3672baaec4ca1434cc3fff9037f55c9235","target":"graph","created_at":"2026-05-18T04:18:54Z","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":"Invariance under local unitary operations is a fundamental property that must be obeyed by every proper measure of quantum entanglement. However, this is not the only aspect of entanglement theory where local unitaries play a relevant role. In the present work we show that the application of suitable local unitary operations defines a family of bipartite entanglement monotones, collectively referred to as \"mirror entanglement\". They are constructed by first considering the (squared) Hilbert-Schmidt distance of the state from the set of states obtained by applying to it a given local unitary. T","authors_text":"A. Monras, F. Illuminati, G. Adesso, G. B. Davies, G. Gualdi, S. M. Giampaolo","cross_cats":["cond-mat.other","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-04-05T20:02:16Z","title":"Entanglement quantification by local unitaries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.0941","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:b9753f4d25e585f8f3e9ce6fc7a0865430f06438c083c1ae8b5cbf09878d9991","target":"record","created_at":"2026-05-18T04:18:54Z","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":"c3242177e48a0ca3c6379f3030a1aa22b1de81232bef7507320914b404e3ece7","cross_cats_sorted":["cond-mat.other","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-04-05T20:02:16Z","title_canon_sha256":"f521217e048ff90528427c5db6b7e3180ab7c20ed52dd17af9ef66f03da4ea96"},"schema_version":"1.0","source":{"id":"1104.0941","kind":"arxiv","version":2}},"canonical_sha256":"822b47072caccaede9a487328ce330c97e570ca5f3e188f44a67e999e5edcbe6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"822b47072caccaede9a487328ce330c97e570ca5f3e188f44a67e999e5edcbe6","first_computed_at":"2026-05-18T04:18:54.374252Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:18:54.374252Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IG6hGTmtJ493s962wUY4cau5vYalvgs+f2oJsW1OXTt2WnBxVqEBY4fnrNP0YQlaSikGxEb0/w9y0CGj1Ko0AA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:18:54.374659Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.0941","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b9753f4d25e585f8f3e9ce6fc7a0865430f06438c083c1ae8b5cbf09878d9991","sha256:0340998b6b3f585fdfc9b1ebfa9a8c3672baaec4ca1434cc3fff9037f55c9235"],"state_sha256":"48a69df7824219475d9351fe9a323d1fef3da42453c8c0a03a0e4cd3d0bad925"}