{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:NESJDPPSBJJN4IRD4VVYSXI6SF","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":"7c0b1f75b437ea8f3a109b95ea5a596d5bf358d21635f190e814b47576a1a93a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-03-03T11:02:30Z","title_canon_sha256":"f0d3ff7cb6904351141de0e4367f5577577f8f4f8bba24a2f0fcf2b1e94e9e40"},"schema_version":"1.0","source":{"id":"1103.0649","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.0649","created_at":"2026-05-18T04:14:45Z"},{"alias_kind":"arxiv_version","alias_value":"1103.0649v3","created_at":"2026-05-18T04:14:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.0649","created_at":"2026-05-18T04:14:45Z"},{"alias_kind":"pith_short_12","alias_value":"NESJDPPSBJJN","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"NESJDPPSBJJN4IRD","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"NESJDPPS","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:55a91ba8745302e996cb97af840520972e4d6b65667d1d4797b2fa2d97f9af8a","target":"graph","created_at":"2026-05-18T04:14:45Z","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":"In Ref. [1], we proved a duality between two optimizations problems. The primary one is, given two quantum channels M and N, to find a quantum channel R such that RN is optimally close to M as measured by the worst-case entanglement fidelity. The dual problem involves the information obtained by the environment through the so-called complementary channels M* and N*, and consists in finding a quantum channel R' such that R'M* is optimally close to N*. It turns out to be easier to find an approximate solution to the dual problem in certain important situations, notably when M is the identity cha","authors_text":"C\\'edric B\\'eny, Ognyan Oreshkov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-03-03T11:02:30Z","title":"Approximate simulation of quantum channels"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.0649","kind":"arxiv","version":3},"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":"sha256:278ed29b999e5e4f7ff302b769ebf9050114a6d683831469ea89a96587bf9473","target":"record","created_at":"2026-05-18T04:14:45Z","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":"7c0b1f75b437ea8f3a109b95ea5a596d5bf358d21635f190e814b47576a1a93a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-03-03T11:02:30Z","title_canon_sha256":"f0d3ff7cb6904351141de0e4367f5577577f8f4f8bba24a2f0fcf2b1e94e9e40"},"schema_version":"1.0","source":{"id":"1103.0649","kind":"arxiv","version":3}},"canonical_sha256":"692491bdf20a52de2223e56b895d1e914a826f6ecbd68bc535127b497feb6531","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"692491bdf20a52de2223e56b895d1e914a826f6ecbd68bc535127b497feb6531","first_computed_at":"2026-05-18T04:14:45.993742Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:14:45.993742Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5Um3DFQUSR8ONglxpE1dqt0UrfTSluRKV7SC8utRfeitGasS/jppGDV/lW3nEStwpjfXrt9w+8RrR7xtS9t7Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:14:45.994379Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.0649","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:278ed29b999e5e4f7ff302b769ebf9050114a6d683831469ea89a96587bf9473","sha256:55a91ba8745302e996cb97af840520972e4d6b65667d1d4797b2fa2d97f9af8a"],"state_sha256":"6ec1b38350dd1f0289cdfb422a9b8c65862b87e4547c111923decaebbf88474d"}