{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:FOOTILJT3VVADBROWAWAENVLIG","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":"063656e5077a0ed0bbfb1d2d0c97c505ccba35f2de4b2681340fee8864c82a24","cross_cats_sorted":["math.MP","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-12-02T07:13:43Z","title_canon_sha256":"a03b8f70a108c65c4e4c676eb5533db0ca89ff1e5188eb022914b4f33609085d"},"schema_version":"1.0","source":{"id":"1612.00578","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.00578","created_at":"2026-05-18T00:55:59Z"},{"alias_kind":"arxiv_version","alias_value":"1612.00578v1","created_at":"2026-05-18T00:55:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.00578","created_at":"2026-05-18T00:55:59Z"},{"alias_kind":"pith_short_12","alias_value":"FOOTILJT3VVA","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FOOTILJT3VVADBRO","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FOOTILJT","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:408ca4bf3b412877d3b47f4800d3cb172c554c525fb90eb61df94f4acf985d7a","target":"graph","created_at":"2026-05-18T00:55:59Z","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":"The geometric measure of entanglement $E$ of an $m$ qubit quantum state takes maximal possible value $m$. In previous work of Gross, Flammia, and Eisert, it was shown that $E \\ge m-O(\\log m)$ with high probability as $m\\to\\infty$. They showed, as a consequence, that the vast majority of states are too entangled to be computationally useful. In this paper, we show that for $m$ qubit {\\em Boson} quantum states (those that are actually available in current designs for quantum computers), the maximal possible geometric measure of entanglement is $\\log_2 m$, opening the door to many computationally","authors_text":"Shmuel Friedland, Todd Kemp","cross_cats":["math.MP","math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-12-02T07:13:43Z","title":"Most Boson quantum states are almost maximally entangled"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.00578","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":"sha256:936ead51f467598ed426385756c2a8677ec6e86be1a6a5d918046051dd55247c","target":"record","created_at":"2026-05-18T00:55:59Z","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":"063656e5077a0ed0bbfb1d2d0c97c505ccba35f2de4b2681340fee8864c82a24","cross_cats_sorted":["math.MP","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-12-02T07:13:43Z","title_canon_sha256":"a03b8f70a108c65c4e4c676eb5533db0ca89ff1e5188eb022914b4f33609085d"},"schema_version":"1.0","source":{"id":"1612.00578","kind":"arxiv","version":1}},"canonical_sha256":"2b9d342d33dd6a01862eb02c0236ab41a18f1bb8f1cbb0b174e2937388e0bccf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2b9d342d33dd6a01862eb02c0236ab41a18f1bb8f1cbb0b174e2937388e0bccf","first_computed_at":"2026-05-18T00:55:59.640920Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:55:59.640920Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sc4pgWrDP/IUQrT4Ulgfa4XZ/3RDsHNC0+H9HqUuczo9sQBSAAoU9TyfhHOOpM4QQZp/0rjUQSCO3FHl65pjBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:55:59.641579Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.00578","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:936ead51f467598ed426385756c2a8677ec6e86be1a6a5d918046051dd55247c","sha256:408ca4bf3b412877d3b47f4800d3cb172c554c525fb90eb61df94f4acf985d7a"],"state_sha256":"29d150c61206aebf9fa76a52725dee8fd4d91f77729a7b8c42c9e244a3968f76"}