{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:7ZB3KYMIUQ2MYZ43XOED56SQ4G","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":"c85b9528bdbc3c9a065596e99ef19426296a23c2f2de315978a90e6397387d24","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-10-20T14:14:31Z","title_canon_sha256":"8fddb8b79b7928680dccea075e781aa52b121d636c9e1f6d60542f6d1ba230b9"},"schema_version":"1.0","source":{"id":"1210.5625","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.5625","created_at":"2026-05-18T03:16:49Z"},{"alias_kind":"arxiv_version","alias_value":"1210.5625v3","created_at":"2026-05-18T03:16:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.5625","created_at":"2026-05-18T03:16:49Z"},{"alias_kind":"pith_short_12","alias_value":"7ZB3KYMIUQ2M","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"7ZB3KYMIUQ2MYZ43","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"7ZB3KYMI","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:93428773bc8333780789bf189f84771098aaf90207d8515dbfe548a422545da6","target":"graph","created_at":"2026-05-18T03:16:49Z","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":"The paper provides a systematic characterization of quantum ergodic and mixing channels in finite dimensions and a discussion of their structural properties. In particular, we discuss ergodicity in the general case where the fixed point of the channel is not a full-rank (faithful) density matrix. Notably, we show that ergodicity is stable under randomizations, namely that every random mixture of an ergodic channel with a generic channel is still ergodic. In addition, we prove several conditions under which ergodicity can be promoted to the stronger property of mixing. Finally, exploiting a sui","authors_text":"Daniel Burgarth, Giulio Chiribella, Kazuya Yuasa, Paolo Perinotti, Vittorio Giovannetti","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-10-20T14:14:31Z","title":"Ergodic and Mixing Quantum Channels in Finite Dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.5625","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":"sha256:29a249526b31dbe067c4caa35433d52f94bfa66e655afa59e30aa96c45fea178","target":"record","created_at":"2026-05-18T03:16:49Z","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":"c85b9528bdbc3c9a065596e99ef19426296a23c2f2de315978a90e6397387d24","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-10-20T14:14:31Z","title_canon_sha256":"8fddb8b79b7928680dccea075e781aa52b121d636c9e1f6d60542f6d1ba230b9"},"schema_version":"1.0","source":{"id":"1210.5625","kind":"arxiv","version":3}},"canonical_sha256":"fe43b56188a434cc679bbb883efa50e1b5d082b7983e3ffdea459b037e76cc8a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fe43b56188a434cc679bbb883efa50e1b5d082b7983e3ffdea459b037e76cc8a","first_computed_at":"2026-05-18T03:16:49.649848Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:16:49.649848Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XbRl5ApMrXZoyaqWtEEmgL3H8lVgmpwtmm1cJm9ZTMJka/tW/WUQT/66Q3ewYa74SSd5JPtKpYO+jqLbcm/bCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:16:49.650606Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.5625","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:29a249526b31dbe067c4caa35433d52f94bfa66e655afa59e30aa96c45fea178","sha256:93428773bc8333780789bf189f84771098aaf90207d8515dbfe548a422545da6"],"state_sha256":"f979489afa5ce5ca636358a640b023805c39e2de234a3228196ae37207c35410"}