{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:RN3QLLC2JOQAJWEHLYJKGCC3BV","short_pith_number":"pith:RN3QLLC2","schema_version":"1.0","canonical_sha256":"8b7705ac5a4ba004d8875e12a3085b0d793eeacdeec6b7e61ecf357eb800327b","source":{"kind":"arxiv","id":"1705.09114","version":2},"attestation_state":"computed","paper":{"title":"An Exponential Quantum Projection Filter for Open Quantum Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Guofeng Zhang, Ian R. Petersen, Qing Gao","submitted_at":"2017-05-25T09:56:53Z","abstract_excerpt":"An approximate exponential quantum projection filtering scheme is developed for a class of open quantum systems described by Hudson- Parthasarathy quantum stochastic differential equations, aiming to reduce the computational burden associated with online calculation of the quantum filter. By using a differential geometric approach, the quantum trajectory is constrained in a finite-dimensional differentiable manifold consisting of an unnormalized exponential family of quantum density operators, and an exponential quantum projection filter is then formulated as a number of stochastic differentia"},"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":"1705.09114","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-05-25T09:56:53Z","cross_cats_sorted":["math.MP","quant-ph"],"title_canon_sha256":"ade82771e61790b6c0a7cf57b8a5ed0f560c230eeaca8cdd91bd8f35782f2317","abstract_canon_sha256":"f03d6fdc940eaa091a29b73a143a5fca503862c7ce226cda880092eed17899f2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:55.248739Z","signature_b64":"wIDDX8kBwZjWf3AYAN9tE3ntN1oXorlxD1VHjOF2XhXf9m8/idNMsLZtN++oqgCra5fj++Lf9H3KAjfWmIiIBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8b7705ac5a4ba004d8875e12a3085b0d793eeacdeec6b7e61ecf357eb800327b","last_reissued_at":"2026-05-18T00:02:55.248056Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:55.248056Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An Exponential Quantum Projection Filter for Open Quantum Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Guofeng Zhang, Ian R. Petersen, Qing Gao","submitted_at":"2017-05-25T09:56:53Z","abstract_excerpt":"An approximate exponential quantum projection filtering scheme is developed for a class of open quantum systems described by Hudson- Parthasarathy quantum stochastic differential equations, aiming to reduce the computational burden associated with online calculation of the quantum filter. By using a differential geometric approach, the quantum trajectory is constrained in a finite-dimensional differentiable manifold consisting of an unnormalized exponential family of quantum density operators, and an exponential quantum projection filter is then formulated as a number of stochastic differentia"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.09114","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":"1705.09114","created_at":"2026-05-18T00:02:55.248168+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.09114v2","created_at":"2026-05-18T00:02:55.248168+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.09114","created_at":"2026-05-18T00:02:55.248168+00:00"},{"alias_kind":"pith_short_12","alias_value":"RN3QLLC2JOQA","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_16","alias_value":"RN3QLLC2JOQAJWEH","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_8","alias_value":"RN3QLLC2","created_at":"2026-05-18T12:31:39.905425+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/RN3QLLC2JOQAJWEHLYJKGCC3BV","json":"https://pith.science/pith/RN3QLLC2JOQAJWEHLYJKGCC3BV.json","graph_json":"https://pith.science/api/pith-number/RN3QLLC2JOQAJWEHLYJKGCC3BV/graph.json","events_json":"https://pith.science/api/pith-number/RN3QLLC2JOQAJWEHLYJKGCC3BV/events.json","paper":"https://pith.science/paper/RN3QLLC2"},"agent_actions":{"view_html":"https://pith.science/pith/RN3QLLC2JOQAJWEHLYJKGCC3BV","download_json":"https://pith.science/pith/RN3QLLC2JOQAJWEHLYJKGCC3BV.json","view_paper":"https://pith.science/paper/RN3QLLC2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.09114&json=true","fetch_graph":"https://pith.science/api/pith-number/RN3QLLC2JOQAJWEHLYJKGCC3BV/graph.json","fetch_events":"https://pith.science/api/pith-number/RN3QLLC2JOQAJWEHLYJKGCC3BV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RN3QLLC2JOQAJWEHLYJKGCC3BV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RN3QLLC2JOQAJWEHLYJKGCC3BV/action/storage_attestation","attest_author":"https://pith.science/pith/RN3QLLC2JOQAJWEHLYJKGCC3BV/action/author_attestation","sign_citation":"https://pith.science/pith/RN3QLLC2JOQAJWEHLYJKGCC3BV/action/citation_signature","submit_replication":"https://pith.science/pith/RN3QLLC2JOQAJWEHLYJKGCC3BV/action/replication_record"}},"created_at":"2026-05-18T00:02:55.248168+00:00","updated_at":"2026-05-18T00:02:55.248168+00:00"}