{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:FY4KECVIVIICMYDGDTJSNLBKFY","short_pith_number":"pith:FY4KECVI","schema_version":"1.0","canonical_sha256":"2e38a20aa8aa102660661cd326ac2a2e2cc3c4805ac0ad14a0713ae7913a88d5","source":{"kind":"arxiv","id":"1207.1610","version":2},"attestation_state":"computed","paper":{"title":"Quantum trajectories: memory and continuous observation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"A. Barchielli, C. Pellegrini, F. Petruccione","submitted_at":"2012-07-06T12:40:52Z","abstract_excerpt":"Starting from a generalization of the quantum trajectory theory (based on the stochastic Schr\\\"odinger equation - SSE), non-Markovian models of quantum dynamics are derived. In order to describe non-Markovian effects, the approach used in this article is based on the introduction of random coefficients in the usual linear SSE. A major interest is that this allows to develop a consistent theory of quantum measurement in continuous time for these non-Markovian quantum trajectory models. In this context, the notions of instrument, a priori and a posteriori states are rigorously described. The key"},"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":"1207.1610","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-07-06T12:40:52Z","cross_cats_sorted":[],"title_canon_sha256":"5fd7ebf701d69ac2276548f34e2e8f56f16a57390b77421d35e9e6f476de273c","abstract_canon_sha256":"8db44b0fa129ba96b243aa453a22474e73e8b4d352381cf350b7775129310b32"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:37:52.668462Z","signature_b64":"jtylYY0wlC7T+HjRQxXImZf67e92jWxr4hRPAD1QwyGs3XBic0FQt8bSJspanqWUyCIioml/55VKjqMglrEyAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2e38a20aa8aa102660661cd326ac2a2e2cc3c4805ac0ad14a0713ae7913a88d5","last_reissued_at":"2026-05-18T03:37:52.667492Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:37:52.667492Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum trajectories: memory and continuous observation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"A. Barchielli, C. Pellegrini, F. Petruccione","submitted_at":"2012-07-06T12:40:52Z","abstract_excerpt":"Starting from a generalization of the quantum trajectory theory (based on the stochastic Schr\\\"odinger equation - SSE), non-Markovian models of quantum dynamics are derived. In order to describe non-Markovian effects, the approach used in this article is based on the introduction of random coefficients in the usual linear SSE. A major interest is that this allows to develop a consistent theory of quantum measurement in continuous time for these non-Markovian quantum trajectory models. In this context, the notions of instrument, a priori and a posteriori states are rigorously described. The key"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.1610","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":""},"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":"1207.1610","created_at":"2026-05-18T03:37:52.667652+00:00"},{"alias_kind":"arxiv_version","alias_value":"1207.1610v2","created_at":"2026-05-18T03:37:52.667652+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.1610","created_at":"2026-05-18T03:37:52.667652+00:00"},{"alias_kind":"pith_short_12","alias_value":"FY4KECVIVIIC","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_16","alias_value":"FY4KECVIVIICMYDG","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_8","alias_value":"FY4KECVI","created_at":"2026-05-18T12:27:06.952714+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FY4KECVIVIICMYDGDTJSNLBKFY","json":"https://pith.science/pith/FY4KECVIVIICMYDGDTJSNLBKFY.json","graph_json":"https://pith.science/api/pith-number/FY4KECVIVIICMYDGDTJSNLBKFY/graph.json","events_json":"https://pith.science/api/pith-number/FY4KECVIVIICMYDGDTJSNLBKFY/events.json","paper":"https://pith.science/paper/FY4KECVI"},"agent_actions":{"view_html":"https://pith.science/pith/FY4KECVIVIICMYDGDTJSNLBKFY","download_json":"https://pith.science/pith/FY4KECVIVIICMYDGDTJSNLBKFY.json","view_paper":"https://pith.science/paper/FY4KECVI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1207.1610&json=true","fetch_graph":"https://pith.science/api/pith-number/FY4KECVIVIICMYDGDTJSNLBKFY/graph.json","fetch_events":"https://pith.science/api/pith-number/FY4KECVIVIICMYDGDTJSNLBKFY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FY4KECVIVIICMYDGDTJSNLBKFY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FY4KECVIVIICMYDGDTJSNLBKFY/action/storage_attestation","attest_author":"https://pith.science/pith/FY4KECVIVIICMYDGDTJSNLBKFY/action/author_attestation","sign_citation":"https://pith.science/pith/FY4KECVIVIICMYDGDTJSNLBKFY/action/citation_signature","submit_replication":"https://pith.science/pith/FY4KECVIVIICMYDGDTJSNLBKFY/action/replication_record"}},"created_at":"2026-05-18T03:37:52.667652+00:00","updated_at":"2026-05-18T03:37:52.667652+00:00"}