{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:GQYCZDIWUVD2FCULFE4BSKFD5B","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":"c90de8442d11d15d81cb639ea8caef011d6c4ba764915cdcd4422cbc6005fcd8","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-06-04T06:18:32Z","title_canon_sha256":"9aa9085a515e0f2151af701c0d78082e65edc1c04798c778ff20a61a48651261"},"schema_version":"1.0","source":{"id":"2606.05745","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.05745","created_at":"2026-06-05T01:15:01Z"},{"alias_kind":"arxiv_version","alias_value":"2606.05745v1","created_at":"2026-06-05T01:15:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.05745","created_at":"2026-06-05T01:15:01Z"},{"alias_kind":"pith_short_12","alias_value":"GQYCZDIWUVD2","created_at":"2026-06-05T01:15:01Z"},{"alias_kind":"pith_short_16","alias_value":"GQYCZDIWUVD2FCUL","created_at":"2026-06-05T01:15:01Z"},{"alias_kind":"pith_short_8","alias_value":"GQYCZDIW","created_at":"2026-06-05T01:15:01Z"}],"graph_snapshots":[{"event_id":"sha256:1df2c8ff408f4570bf3f6ef360e52106ccc03d63e66c6989c8b7367be8ebb447","target":"graph","created_at":"2026-06-05T01:15:01Z","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/2606.05745/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Determining the minimal distance between a target channel and a convex hull of predefined set of implementable channels is a fundamental problem in quantum resource theory, and provides key guidance for experimental implementations. In this work, we develop a unified analytical framework for optimal convex approximation of quantum channels based on the quantum $\\alpha$-affinity measure. We construct a channel distance metric induced by the {\\alpha}-affinity and the ChoiJamiolkowski isomorphism, which satisfies the required properties of a well-defined channel distance. Subsequently, we present","authors_text":"Changshui Yu, Chengling Fu, Guohui Yang, Liqiang Zhang, Liuyong Cheng","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-06-04T06:18:32Z","title":"Optimal convex approximation of quantum channels based on $\\alpha$-affinity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.05745","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":"sha256:98f364363085eb70247070362e609dd0be8162a757c7426290f512f83dfd1df8","target":"record","created_at":"2026-06-05T01:15:01Z","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":"c90de8442d11d15d81cb639ea8caef011d6c4ba764915cdcd4422cbc6005fcd8","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-06-04T06:18:32Z","title_canon_sha256":"9aa9085a515e0f2151af701c0d78082e65edc1c04798c778ff20a61a48651261"},"schema_version":"1.0","source":{"id":"2606.05745","kind":"arxiv","version":1}},"canonical_sha256":"34302c8d16a547a28a8b29381928a3e85190d45c1f390fe750084e2b360196af","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"34302c8d16a547a28a8b29381928a3e85190d45c1f390fe750084e2b360196af","first_computed_at":"2026-06-05T01:15:01.473930Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-05T01:15:01.473930Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jzvYagfuXH4SzJTNDAW2edlYVqwSMPRPGU634577FSZJS+0E6zyfxtdIk84AejWW1bZizRwfsvxSDksU4tgJAw==","signature_status":"signed_v1","signed_at":"2026-06-05T01:15:01.474475Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.05745","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:98f364363085eb70247070362e609dd0be8162a757c7426290f512f83dfd1df8","sha256:1df2c8ff408f4570bf3f6ef360e52106ccc03d63e66c6989c8b7367be8ebb447"],"state_sha256":"78f728c7217d3cd0f4b8023c042854b663e0cc4e5c1ee8667ea5a11bef286b1b"}