{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:OVQD7XFVFRAYJI6HR2LT7FPX6P","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":"f8795607d22ecb0ebde2ba556dd79d51c5e1b73a009c1688834d707d68009d71","cross_cats_sorted":["cs.SY","math-ph","math.MP","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-04-23T04:11:03Z","title_canon_sha256":"559c0590d685765c62674d5a403ff7046cd0a7bab1f729521533a74c46fcb219"},"schema_version":"1.0","source":{"id":"1404.5699","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.5699","created_at":"2026-05-18T02:45:39Z"},{"alias_kind":"arxiv_version","alias_value":"1404.5699v1","created_at":"2026-05-18T02:45:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.5699","created_at":"2026-05-18T02:45:39Z"},{"alias_kind":"pith_short_12","alias_value":"OVQD7XFVFRAY","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"OVQD7XFVFRAYJI6H","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"OVQD7XFV","created_at":"2026-05-18T12:28:43Z"}],"graph_snapshots":[{"event_id":"sha256:ecdb0cdc9eaf9da93db37c9887b78e318167e850e8e1004b202a0a18a98c2cad","target":"graph","created_at":"2026-05-18T02:45:39Z","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"},"paper":{"abstract_excerpt":"We introduce a new class of continuous matrix product (CMP) states and establish the stochastic master equations (quantum filters) for an arbitrary quantum system probed by a bosonic input field in this class of states. We show that this class of CMP states arise naturally as outputs of a Markovian model, and that input fields in these states lead to master and filtering (quantum trajectory) equations which are matrix-valued. Furthermore, it is shown that this class of continuous matrix product states include the (continuous-mode) single photon and time-ordered multi-photon states.","authors_text":"Hendra I. Nurdin, John E. Gough, Matthew R. James","cross_cats":["cs.SY","math-ph","math.MP","math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-04-23T04:11:03Z","title":"Quantum Trajectories for a Class of Continuous Matrix Product Input States"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.5699","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":"sha256:685447a720d24de159724812f431cf33447aab25d37b8dd235f52c9bc794d037","target":"record","created_at":"2026-05-18T02:45:39Z","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":"f8795607d22ecb0ebde2ba556dd79d51c5e1b73a009c1688834d707d68009d71","cross_cats_sorted":["cs.SY","math-ph","math.MP","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-04-23T04:11:03Z","title_canon_sha256":"559c0590d685765c62674d5a403ff7046cd0a7bab1f729521533a74c46fcb219"},"schema_version":"1.0","source":{"id":"1404.5699","kind":"arxiv","version":1}},"canonical_sha256":"75603fdcb52c4184a3c78e973f95f7f3e9f18cd65a5f23e7bc6580e75cdc924b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"75603fdcb52c4184a3c78e973f95f7f3e9f18cd65a5f23e7bc6580e75cdc924b","first_computed_at":"2026-05-18T02:45:39.408608Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:45:39.408608Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iItN7fT/NwgiGshKkx0Qp2qO6TJpCRXLjvPLt8fGhSWpEUahRFdDi/xaR8Q56UVAdhvRZwsV9xVQdeoehX1PDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:45:39.409158Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.5699","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:685447a720d24de159724812f431cf33447aab25d37b8dd235f52c9bc794d037","sha256:ecdb0cdc9eaf9da93db37c9887b78e318167e850e8e1004b202a0a18a98c2cad"],"state_sha256":"cb15d3e81fef263f6233ff14bb2811337f6f4bb496bc71e8e225944da3a5847e"}