{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:KZTV7XKPY2JHUUGX3OXQPO77J2","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":"c0f3220bef8b836ffcb9c243c3905e3ca5ce7b95c9107dfcf6bdc16c68c9dfca","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-04-01T15:53:45Z","title_canon_sha256":"e9d6c5efda50ca7277ceba20e20bd586d01360448cbda3f5518970b090e8eaea"},"schema_version":"1.0","source":{"id":"2604.01048","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2604.01048","created_at":"2026-06-10T01:10:00Z"},{"alias_kind":"arxiv_version","alias_value":"2604.01048v2","created_at":"2026-06-10T01:10:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2604.01048","created_at":"2026-06-10T01:10:00Z"},{"alias_kind":"pith_short_12","alias_value":"KZTV7XKPY2JH","created_at":"2026-06-10T01:10:00Z"},{"alias_kind":"pith_short_16","alias_value":"KZTV7XKPY2JHUUGX","created_at":"2026-06-10T01:10:00Z"},{"alias_kind":"pith_short_8","alias_value":"KZTV7XKP","created_at":"2026-06-10T01:10:00Z"}],"graph_snapshots":[{"event_id":"sha256:2c5b2a08a4d63662264a4441f7288d980e5b6ba94c5938529f9b0b0974e235f9","target":"graph","created_at":"2026-06-10T01:10:00Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2604.01048/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Quantum gates executed on physical hardware are inevitably degraded by environmental noise. While state purification effectively distills static quantum resources, the dynamic execution of quantum algorithms requires a higher-order approach to mitigate errors on the operations themselves. In this work, we investigate universal unitary purification: the task of utilizing a quantum higher-order operation to partially restore the ideal action of an unknown unitary corrupted by a known noise model. Focusing on canonical depolarizing noise, we first reveal a fundamental operational obstruction. We ","authors_text":"Chengkai Zhu, Guocheng Zhen, Jiayi Zhao, Ranyiliu Chen, Xin Wang, Yu-Ao Chen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-04-01T15:53:45Z","title":"Distilling Unitary Operations: A No-Go Theorem and Minimal Realization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2604.01048","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:e5305552f595e391d1e5cb685f8ab80aa16a3f30b67fe3c2b7a2af04a9848b35","target":"record","created_at":"2026-06-10T01:10:00Z","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":"c0f3220bef8b836ffcb9c243c3905e3ca5ce7b95c9107dfcf6bdc16c68c9dfca","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-04-01T15:53:45Z","title_canon_sha256":"e9d6c5efda50ca7277ceba20e20bd586d01360448cbda3f5518970b090e8eaea"},"schema_version":"1.0","source":{"id":"2604.01048","kind":"arxiv","version":2}},"canonical_sha256":"56675fdd4fc6927a50d7dbaf07bbff4e84c6582367644354d1b0bf47557a2ac7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"56675fdd4fc6927a50d7dbaf07bbff4e84c6582367644354d1b0bf47557a2ac7","first_computed_at":"2026-06-10T01:10:00.199125Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-10T01:10:00.199125Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RA5sEUwooiQn9OvnhhrTnG/7IQyyveO4QQr61gih52EfMyrouFDVQCq1ff4YCcPTL+juhxgf2t8TOSNXndWaCg==","signature_status":"signed_v1","signed_at":"2026-06-10T01:10:00.199996Z","signed_message":"canonical_sha256_bytes"},"source_id":"2604.01048","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e5305552f595e391d1e5cb685f8ab80aa16a3f30b67fe3c2b7a2af04a9848b35","sha256:2c5b2a08a4d63662264a4441f7288d980e5b6ba94c5938529f9b0b0974e235f9"],"state_sha256":"0730b20cd880eec5bbfce46dd283c5e2c79a6dc6838d7919816b478d4510b8c2"}