{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:C7X23S7HIQI2FUW7EW535EIC3D","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":"feabca04900794659410bd60a0fc0684fb2d7d4928539060aa37b8e0f3ea0d96","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-07-27T16:18:45Z","title_canon_sha256":"adfe7657cd19818cd1c05e56bf320ed1781c62abd073dd7d06a6066cf228505f"},"schema_version":"1.0","source":{"id":"1407.7251","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.7251","created_at":"2026-05-18T01:32:34Z"},{"alias_kind":"arxiv_version","alias_value":"1407.7251v4","created_at":"2026-05-18T01:32:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.7251","created_at":"2026-05-18T01:32:34Z"},{"alias_kind":"pith_short_12","alias_value":"C7X23S7HIQI2","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"C7X23S7HIQI2FUW7","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"C7X23S7H","created_at":"2026-05-18T12:28:22Z"}],"graph_snapshots":[{"event_id":"sha256:3baa192f9d5df39b73073f6e867848a26a8eccf0e47a162d44c1dd76f64541db","target":"graph","created_at":"2026-05-18T01:32:34Z","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 construct a classical algorithm that designs quantum circuits for algorithmic quantum simulation of arbitrary qudit channels on fault-tolerant quantum computers within a pre-specified error tolerance with respect to diamond-norm distance. The classical algorithm is constructed by decomposing a quantum channel into a convex combination of generalized extreme channels by optimization of a set of nonlinear coupled algebraic equations. The resultant circuit is a randomly chosen generalized extreme channel circuit whose run-time is logarithmic with respect to the error tolerance and quadratic wi","authors_text":"Barry C. Sanders, Dong-Sheng Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-07-27T16:18:45Z","title":"Quantum circuit design for accurate simulation of qudit channels"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.7251","kind":"arxiv","version":4},"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":"sha256:386a64e727074c7f4e5a4a35ae1c20e11cf8097c6444a58cc28814c04a961a39","target":"record","created_at":"2026-05-18T01:32:34Z","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":"feabca04900794659410bd60a0fc0684fb2d7d4928539060aa37b8e0f3ea0d96","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-07-27T16:18:45Z","title_canon_sha256":"adfe7657cd19818cd1c05e56bf320ed1781c62abd073dd7d06a6066cf228505f"},"schema_version":"1.0","source":{"id":"1407.7251","kind":"arxiv","version":4}},"canonical_sha256":"17efadcbe74411a2d2df25bbbe9102d8c974029d20f8b65015745a8f0355867c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"17efadcbe74411a2d2df25bbbe9102d8c974029d20f8b65015745a8f0355867c","first_computed_at":"2026-05-18T01:32:34.745658Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:32:34.745658Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"v6YglPc1qJXgxvtvo87d/4+JsYyw1b8tvh6SSd+viOP0VHBkurZkWNDvtdO5mJ1jWv7I2mAMzKcxDD2yLt/KAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:32:34.746299Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.7251","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:386a64e727074c7f4e5a4a35ae1c20e11cf8097c6444a58cc28814c04a961a39","sha256:3baa192f9d5df39b73073f6e867848a26a8eccf0e47a162d44c1dd76f64541db"],"state_sha256":"f3628f5249345b04fe85b2fbee825732f383d0497e5093b8ee332afdafc2fe13"}