{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:S5QNTUA4BUIFVN4LCKLSPSE7FN","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":"9f443a18350a7a57edf1090d89b6a7183185b68162c031c9515bc618f299d360","cross_cats_sorted":["cond-mat.stat-mech","math.MP","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2022-02-10T20:52:40Z","title_canon_sha256":"e9792bc1de5c567abe56037bbd78fd4af6b6bd8d774d350af17fdb08063f413e"},"schema_version":"1.0","source":{"id":"2202.05321","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2202.05321","created_at":"2026-07-05T09:10:39Z"},{"alias_kind":"arxiv_version","alias_value":"2202.05321v1","created_at":"2026-07-05T09:10:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2202.05321","created_at":"2026-07-05T09:10:39Z"},{"alias_kind":"pith_short_12","alias_value":"S5QNTUA4BUIF","created_at":"2026-07-05T09:10:39Z"},{"alias_kind":"pith_short_16","alias_value":"S5QNTUA4BUIFVN4L","created_at":"2026-07-05T09:10:39Z"},{"alias_kind":"pith_short_8","alias_value":"S5QNTUA4","created_at":"2026-07-05T09:10:39Z"}],"graph_snapshots":[{"event_id":"sha256:8a8a2c644448b9dd22de20e23734c4264407acef60d0cef438cdf6323a1371d6","target":"graph","created_at":"2026-07-05T09:10:39Z","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/2202.05321/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study a class of dynamical semigroups $(\\mathbb{L}^n)_{n\\in\\mathbb{N}}$ that emerge, by a Feynman--Kac type formalism, from a random quantum dynamical system $(\\mathcal{L}_{\\omega_n}\\circ\\cdots\\circ\\mathcal{L}_{\\omega_1}(\\rho_{\\omega_0}))_{n\\in\\mathbb{N}}$ driven by a Markov chain $(\\omega_n)_{n\\in\\mathbb{N}}$. We show that the almost sure large time behavior of the system can be extracted from the large $n$ asymptotics of the semigroup, which is in turn directly related to the spectral properties of the generator $\\mathbb{L}$. As a physical application, we consider the case where the $\\mat","authors_text":"Alain Joye, Claude-Alain Pillet, Jean-Fran\\c{c}ois Bougron","cross_cats":["cond-mat.stat-mech","math.MP","quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2022-02-10T20:52:40Z","title":"Markovian Repeated Interaction Quantum Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.05321","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":"sha256:471652e93f1e200e7d07194c300c264d9949c3327147efa248c22e47b50fbd6e","target":"record","created_at":"2026-07-05T09:10:39Z","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":"9f443a18350a7a57edf1090d89b6a7183185b68162c031c9515bc618f299d360","cross_cats_sorted":["cond-mat.stat-mech","math.MP","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2022-02-10T20:52:40Z","title_canon_sha256":"e9792bc1de5c567abe56037bbd78fd4af6b6bd8d774d350af17fdb08063f413e"},"schema_version":"1.0","source":{"id":"2202.05321","kind":"arxiv","version":1}},"canonical_sha256":"9760d9d01c0d105ab78b129727c89f2b5a85f4a168fad301fbce9c86ec037150","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9760d9d01c0d105ab78b129727c89f2b5a85f4a168fad301fbce9c86ec037150","first_computed_at":"2026-07-05T09:10:39.685777Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:10:39.685777Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WYwrY1Dx/sUKsrKtQTzt7LK63h9bdxp5VXSeKrpdaPT4VXJ7cKi5qEQFkp+aFD4hCbjqSWjX1QwdrUtJuhOoCw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:10:39.686127Z","signed_message":"canonical_sha256_bytes"},"source_id":"2202.05321","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:471652e93f1e200e7d07194c300c264d9949c3327147efa248c22e47b50fbd6e","sha256:8a8a2c644448b9dd22de20e23734c4264407acef60d0cef438cdf6323a1371d6"],"state_sha256":"8108fcdcc80630b663b909a6db3ef7de24a7010573bd9edb544ec651197476f8"}