{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:PIFFJNIYB2G47XACVJHJQ64ORP","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":"982b647e5904d71f9767212852a15e6f3ffa96e1a17f38d4e2ae6864cfe31fef","cross_cats_sorted":["cs.IT","math-ph","math.IT","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-10-26T23:09:03Z","title_canon_sha256":"4f48b3f72d73dbced25c915efdf78913daa28278c1c6eda7114b76b8ad1f1986"},"schema_version":"1.0","source":{"id":"1110.5944","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.5944","created_at":"2026-05-18T04:05:38Z"},{"alias_kind":"arxiv_version","alias_value":"1110.5944v2","created_at":"2026-05-18T04:05:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.5944","created_at":"2026-05-18T04:05:38Z"},{"alias_kind":"pith_short_12","alias_value":"PIFFJNIYB2G4","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"PIFFJNIYB2G47XAC","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"PIFFJNIY","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:3c3dc94d0f6ba8c1e052371eeec9fe8fae3329d16612f8500f162110c3a2e01a","target":"graph","created_at":"2026-05-18T04:05:38Z","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":"A process of preparation, transmission and subsequent projective measurement of a qubit can be simulated by a classical model with only two bits of communication and some amount of shared randomness. However no model for n qubits with a finite amount of classical communication is known at present. A lower bound for the communication cost can provide useful hints for a generalization. It is known for example that the amount of communication must be greater than c 2^n, where c~0.01. The proof uses a quite elaborate theorem of communication complexity. Using a mathematical conjecture known as the","authors_text":"Alberto Montina","cross_cats":["cs.IT","math-ph","math.IT","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-10-26T23:09:03Z","title":"Communication cost of classically simulating a quantum channel with subsequent rank-1 projective measurement"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.5944","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":"sha256:049653197ff8765598fcd749278280f59b21b8de6045a10a9ceeaffdbf399ae8","target":"record","created_at":"2026-05-18T04:05:38Z","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":"982b647e5904d71f9767212852a15e6f3ffa96e1a17f38d4e2ae6864cfe31fef","cross_cats_sorted":["cs.IT","math-ph","math.IT","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-10-26T23:09:03Z","title_canon_sha256":"4f48b3f72d73dbced25c915efdf78913daa28278c1c6eda7114b76b8ad1f1986"},"schema_version":"1.0","source":{"id":"1110.5944","kind":"arxiv","version":2}},"canonical_sha256":"7a0a54b5180e8dcfdc02aa4e987b8e8bf172d61b2ed50f06667024049aaa935a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7a0a54b5180e8dcfdc02aa4e987b8e8bf172d61b2ed50f06667024049aaa935a","first_computed_at":"2026-05-18T04:05:38.149273Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:05:38.149273Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"p0MSt/u5s72JmU2V3BN+rO/kdC444tU8LjWley49+D2LVpfgr1vPYI7a2448MWh7WO+lYKgDSeM9YeFVHGSsCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:05:38.149745Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.5944","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:049653197ff8765598fcd749278280f59b21b8de6045a10a9ceeaffdbf399ae8","sha256:3c3dc94d0f6ba8c1e052371eeec9fe8fae3329d16612f8500f162110c3a2e01a"],"state_sha256":"27d31b95fdc68af1e4fab0081751abda4003aacb95fa17f1b80eafa21cbca1e0"}