{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:SI7NZMXCEDQXSSZL7M6CYIKNLO","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":"96ca25287d534479cf1ef567ebc1a96dbfa0fe3d031df20ddeaddba4bceac1a1","cross_cats_sorted":["cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-05-28T06:46:27Z","title_canon_sha256":"4d4b8e56483f39a42cf9883f98921305176ad5672a94d9989a3ca39bb70cf3be"},"schema_version":"1.0","source":{"id":"1905.11635","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.11635","created_at":"2026-05-17T23:44:52Z"},{"alias_kind":"arxiv_version","alias_value":"1905.11635v1","created_at":"2026-05-17T23:44:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.11635","created_at":"2026-05-17T23:44:52Z"},{"alias_kind":"pith_short_12","alias_value":"SI7NZMXCEDQX","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"SI7NZMXCEDQXSSZL","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"SI7NZMXC","created_at":"2026-05-18T12:33:27Z"}],"graph_snapshots":[{"event_id":"sha256:a09c5355f8eea17bac15f71bb6bfbe6c1318f343d0c7c35411b33a9c0bea1129","target":"graph","created_at":"2026-05-17T23:44:52Z","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 study the problem of approximating the commuting-operator value of a two-player non-local game. It is well-known that it is $\\mathrm{NP}$-complete to decide whether the classical value of a non-local game is 1 or $1- \\epsilon$. Furthermore, as long as $\\epsilon$ is small enough, this result does not depend on the gap $\\epsilon$. In contrast, a recent result of Fitzsimons, Ji, Vidick, and Yuen shows that the complexity of computing the quantum value grows without bound as the gap $\\epsilon$ decreases. In this paper, we show that this also holds for the commuting-operator value of a game. Spe","authors_text":"Matthew Coudron, William Slofstra","cross_cats":["cs.CC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-05-28T06:46:27Z","title":"Complexity lower bounds for computing the approximately-commuting operator value of non-local games to high precision"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.11635","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":"sha256:7a62820c94d34cdfcb2f41d3248397d96ebd8cdecf626de1339a5c6e99caa6a1","target":"record","created_at":"2026-05-17T23:44:52Z","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":"96ca25287d534479cf1ef567ebc1a96dbfa0fe3d031df20ddeaddba4bceac1a1","cross_cats_sorted":["cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-05-28T06:46:27Z","title_canon_sha256":"4d4b8e56483f39a42cf9883f98921305176ad5672a94d9989a3ca39bb70cf3be"},"schema_version":"1.0","source":{"id":"1905.11635","kind":"arxiv","version":1}},"canonical_sha256":"923edcb2e220e1794b2bfb3c2c214d5b968ecb0895914c3c262779202b913c09","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"923edcb2e220e1794b2bfb3c2c214d5b968ecb0895914c3c262779202b913c09","first_computed_at":"2026-05-17T23:44:52.781222Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:44:52.781222Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lce6wgLZiAOdpUeWKvm7F0zlGZli+qH/9+gb57svKAPBkhq9Ua5QBLHpMhLU8Vti8UU6gtZTk5iBqNDdrpDoAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:44:52.781861Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.11635","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7a62820c94d34cdfcb2f41d3248397d96ebd8cdecf626de1339a5c6e99caa6a1","sha256:a09c5355f8eea17bac15f71bb6bfbe6c1318f343d0c7c35411b33a9c0bea1129"],"state_sha256":"07b886cf9402aa72867b9a6f4dfcea1d1f17d9f8a7bc41a270937576a80109bf"}