{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:XPPESPY3DKA5DGKPUZKJAUQC4B","short_pith_number":"pith:XPPESPY3","schema_version":"1.0","canonical_sha256":"bbde493f1b1a81d1994fa654905202e076c4b00756d3117601b8b9a87d3daf80","source":{"kind":"arxiv","id":"2303.09667","version":2},"attestation_state":"computed","paper":{"title":"On the mean-field Belavkin filtering equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.PR","quant-ph"],"primary_cat":"math.OC","authors_text":"Gaoyue Guo, Nina H. Amini, Sofiane Chalal","submitted_at":"2023-03-16T21:52:59Z","abstract_excerpt":"Following Kolokoltsov's work [1], we present an extension of mean-field control theory in quantum framework. In particular such an extension is done naturally by considering the Belavkin quantum filtering and control theory in a mean-field setting. In this setting, the dynamics is described by a controlled Belavkin equation of McKean-Vlasov type. We prove the well-posedness of such an equation under imperfect measurement records. Furthermore, we show under purification assumption the propagation of chaos for perfect measurements. Finally, we apply particle methods to simulate the mean-field Be"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2303.09667","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2023-03-16T21:52:59Z","cross_cats_sorted":["math-ph","math.MP","math.PR","quant-ph"],"title_canon_sha256":"3737644b74d327c9a818ae89226a9c2f88a5528eb0a5a87ad6fdfd34edc09e1e","abstract_canon_sha256":"cfc1219b2980d892fa2b8440cd66f210680e1664708e10715d56228f7013c9e1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:24:11.704640Z","signature_b64":"XhpV7ZQN0/BYaYM3f9bNzxlCEBSOdJ7hM8gY9zjfZ7KYbVGpxAq8FGnWgRILbf7O9p/gy+VTkYxRKZgj0ha/Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bbde493f1b1a81d1994fa654905202e076c4b00756d3117601b8b9a87d3daf80","last_reissued_at":"2026-07-05T06:24:11.704284Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:24:11.704284Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the mean-field Belavkin filtering equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.PR","quant-ph"],"primary_cat":"math.OC","authors_text":"Gaoyue Guo, Nina H. Amini, Sofiane Chalal","submitted_at":"2023-03-16T21:52:59Z","abstract_excerpt":"Following Kolokoltsov's work [1], we present an extension of mean-field control theory in quantum framework. In particular such an extension is done naturally by considering the Belavkin quantum filtering and control theory in a mean-field setting. In this setting, the dynamics is described by a controlled Belavkin equation of McKean-Vlasov type. We prove the well-posedness of such an equation under imperfect measurement records. Furthermore, we show under purification assumption the propagation of chaos for perfect measurements. Finally, we apply particle methods to simulate the mean-field Be"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2303.09667","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2303.09667/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2303.09667","created_at":"2026-07-05T06:24:11.704351+00:00"},{"alias_kind":"arxiv_version","alias_value":"2303.09667v2","created_at":"2026-07-05T06:24:11.704351+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2303.09667","created_at":"2026-07-05T06:24:11.704351+00:00"},{"alias_kind":"pith_short_12","alias_value":"XPPESPY3DKA5","created_at":"2026-07-05T06:24:11.704351+00:00"},{"alias_kind":"pith_short_16","alias_value":"XPPESPY3DKA5DGKP","created_at":"2026-07-05T06:24:11.704351+00:00"},{"alias_kind":"pith_short_8","alias_value":"XPPESPY3","created_at":"2026-07-05T06:24:11.704351+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2607.08507","citing_title":"Quantum filtering and propagation of chaos for open quantum systems, with applications to quantum feedback control and quantum mean-field games","ref_index":39,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/XPPESPY3DKA5DGKPUZKJAUQC4B","json":"https://pith.science/pith/XPPESPY3DKA5DGKPUZKJAUQC4B.json","graph_json":"https://pith.science/api/pith-number/XPPESPY3DKA5DGKPUZKJAUQC4B/graph.json","events_json":"https://pith.science/api/pith-number/XPPESPY3DKA5DGKPUZKJAUQC4B/events.json","paper":"https://pith.science/paper/XPPESPY3"},"agent_actions":{"view_html":"https://pith.science/pith/XPPESPY3DKA5DGKPUZKJAUQC4B","download_json":"https://pith.science/pith/XPPESPY3DKA5DGKPUZKJAUQC4B.json","view_paper":"https://pith.science/paper/XPPESPY3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2303.09667&json=true","fetch_graph":"https://pith.science/api/pith-number/XPPESPY3DKA5DGKPUZKJAUQC4B/graph.json","fetch_events":"https://pith.science/api/pith-number/XPPESPY3DKA5DGKPUZKJAUQC4B/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XPPESPY3DKA5DGKPUZKJAUQC4B/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XPPESPY3DKA5DGKPUZKJAUQC4B/action/storage_attestation","attest_author":"https://pith.science/pith/XPPESPY3DKA5DGKPUZKJAUQC4B/action/author_attestation","sign_citation":"https://pith.science/pith/XPPESPY3DKA5DGKPUZKJAUQC4B/action/citation_signature","submit_replication":"https://pith.science/pith/XPPESPY3DKA5DGKPUZKJAUQC4B/action/replication_record"}},"created_at":"2026-07-05T06:24:11.704351+00:00","updated_at":"2026-07-05T06:24:11.704351+00:00"}