{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:6MB2O5YCZCFM6QX4S5V7KYLWC6","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":"7dd2cf2a3e9315bf8a06af854f318d4c016061898922ee3f6331e06d4906c653","cross_cats_sorted":["math.OC","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-12-02T11:17:00Z","title_canon_sha256":"f084b9b293eab8d18a5ef99c784f3db08befeb0c1571efebf8e8ef8df1f783fd"},"schema_version":"1.0","source":{"id":"1312.0418","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.0418","created_at":"2026-05-18T01:45:59Z"},{"alias_kind":"arxiv_version","alias_value":"1312.0418v1","created_at":"2026-05-18T01:45:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.0418","created_at":"2026-05-18T01:45:59Z"},{"alias_kind":"pith_short_12","alias_value":"6MB2O5YCZCFM","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"6MB2O5YCZCFM6QX4","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"6MB2O5YC","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:35b0f4a9e3150eb145800d487c9e1342a6c8114cf878ae5f0760c0730779b695","target":"graph","created_at":"2026-05-18T01:45:59Z","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 fidelity between the state of a continuously observed quantum system and the state of its associated quantum filter, is shown to be always a submartingale. The observed system is assumed to be governed by a continuous-time Stochastic Master Equation (SME), driven simultaneously by Wiener and Poisson processes and that takes into account incompleteness and errors in measurements. This stability result is the continuous-time counterpart of a similar stability result already established for discrete-time quantum systems and where the measurement imperfections are modeled by a left stochastic ","authors_text":"Clement Pellegrini, Hadis Amini, Pierre Rouchon","cross_cats":["math.OC","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-12-02T11:17:00Z","title":"Stability of continuous-time quantum filters with measurement imperfections"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.0418","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":"sha256:6447fae372f71b030d1f07bc59b6cb35e6afb5d122eaf9d31527ee7379b60c22","target":"record","created_at":"2026-05-18T01:45:59Z","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":"7dd2cf2a3e9315bf8a06af854f318d4c016061898922ee3f6331e06d4906c653","cross_cats_sorted":["math.OC","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-12-02T11:17:00Z","title_canon_sha256":"f084b9b293eab8d18a5ef99c784f3db08befeb0c1571efebf8e8ef8df1f783fd"},"schema_version":"1.0","source":{"id":"1312.0418","kind":"arxiv","version":1}},"canonical_sha256":"f303a77702c88acf42fc976bf561761784927dcec03dfd149bb2286d720321e2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f303a77702c88acf42fc976bf561761784927dcec03dfd149bb2286d720321e2","first_computed_at":"2026-05-18T01:45:59.944487Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:45:59.944487Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hgDJ1IqcZ3q1Ptiq6ufvcaEE6NYwe2bpmaP0OvEkOjGL77Xgw8ovR5j+IlV29uq9LooZElWn4DGN3fGL6TJPAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:45:59.945049Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.0418","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6447fae372f71b030d1f07bc59b6cb35e6afb5d122eaf9d31527ee7379b60c22","sha256:35b0f4a9e3150eb145800d487c9e1342a6c8114cf878ae5f0760c0730779b695"],"state_sha256":"4517c27e7e9e71021c75e91838248d28087e80a23918bf0f6ac1d8770597580b"}