{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:JCP4HKRJUXU6RDDSGFQO24UPFQ","short_pith_number":"pith:JCP4HKRJ","schema_version":"1.0","canonical_sha256":"489fc3aa29a5e9e88c723160ed728f2c1e0b7ec09423cce033e860216f20ee80","source":{"kind":"arxiv","id":"2608.07253","version":1},"attestation_state":"computed","paper":{"title":"Theory of Deterministic Photon-Loss Subspaces for Quantum Interferences","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Haoyang Zhang, Nuo Wang, Yadi Niu, Ying Gu, Zihan Mo","submitted_at":"2026-08-07T14:09:39Z","abstract_excerpt":"Quantum coherence, quantum decoherence, and photon number reduction are coexistent in linear lossy optical systems. However, how these three elements combine together to determine the evolution of the quantum light remains unclear. Here, based on singular value decomposition (SVD), we propose the theory of deterministic photon-loss subspace (DPLS) for quantum interferences in lossy systems. By performing an SVD of scattering matrices with singular values either 0 or 1, a series of completely lossy and lossless input modes are first defined. According to n_1,...,n_i photons in the first,..., i-"},"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":"2608.07253","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-08-07T14:09:39Z","cross_cats_sorted":[],"title_canon_sha256":"b8f06382c3fbb45b3c27e890d640761aea32e2afb023369ca969a81fb3014a2a","abstract_canon_sha256":"5ab598a9501e4423bf70463766f67f9b943fae1326a56ad27f550d8fe6dd579d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-10T01:14:45.991532Z","signature_b64":"y42lBkTdMSedHsphJeypios/SPI7bd2g45BENUPefNLby0hS/9ZJpiU9ZobXHMSlVkC9MlVJ6i0ywtzsTFlWAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"489fc3aa29a5e9e88c723160ed728f2c1e0b7ec09423cce033e860216f20ee80","last_reissued_at":"2026-08-10T01:14:45.986505Z","signature_status":"signed_v1","first_computed_at":"2026-08-10T01:14:45.986505Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Theory of Deterministic Photon-Loss Subspaces for Quantum Interferences","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Haoyang Zhang, Nuo Wang, Yadi Niu, Ying Gu, Zihan Mo","submitted_at":"2026-08-07T14:09:39Z","abstract_excerpt":"Quantum coherence, quantum decoherence, and photon number reduction are coexistent in linear lossy optical systems. However, how these three elements combine together to determine the evolution of the quantum light remains unclear. Here, based on singular value decomposition (SVD), we propose the theory of deterministic photon-loss subspace (DPLS) for quantum interferences in lossy systems. By performing an SVD of scattering matrices with singular values either 0 or 1, a series of completely lossy and lossless input modes are first defined. According to n_1,...,n_i photons in the first,..., i-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.07253","kind":"arxiv","version":1},"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/2608.07253/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":"2608.07253","created_at":"2026-08-10T01:14:45.988352+00:00"},{"alias_kind":"arxiv_version","alias_value":"2608.07253v1","created_at":"2026-08-10T01:14:45.988352+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.07253","created_at":"2026-08-10T01:14:45.988352+00:00"},{"alias_kind":"pith_short_12","alias_value":"JCP4HKRJUXU6","created_at":"2026-08-10T01:14:45.988352+00:00"},{"alias_kind":"pith_short_16","alias_value":"JCP4HKRJUXU6RDDS","created_at":"2026-08-10T01:14:45.988352+00:00"},{"alias_kind":"pith_short_8","alias_value":"JCP4HKRJ","created_at":"2026-08-10T01:14:45.988352+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/JCP4HKRJUXU6RDDSGFQO24UPFQ","json":"https://pith.science/pith/JCP4HKRJUXU6RDDSGFQO24UPFQ.json","graph_json":"https://pith.science/api/pith-number/JCP4HKRJUXU6RDDSGFQO24UPFQ/graph.json","events_json":"https://pith.science/api/pith-number/JCP4HKRJUXU6RDDSGFQO24UPFQ/events.json","paper":"https://pith.science/paper/JCP4HKRJ"},"agent_actions":{"view_html":"https://pith.science/pith/JCP4HKRJUXU6RDDSGFQO24UPFQ","download_json":"https://pith.science/pith/JCP4HKRJUXU6RDDSGFQO24UPFQ.json","view_paper":"https://pith.science/paper/JCP4HKRJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2608.07253&json=true","fetch_graph":"https://pith.science/api/pith-number/JCP4HKRJUXU6RDDSGFQO24UPFQ/graph.json","fetch_events":"https://pith.science/api/pith-number/JCP4HKRJUXU6RDDSGFQO24UPFQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JCP4HKRJUXU6RDDSGFQO24UPFQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JCP4HKRJUXU6RDDSGFQO24UPFQ/action/storage_attestation","attest_author":"https://pith.science/pith/JCP4HKRJUXU6RDDSGFQO24UPFQ/action/author_attestation","sign_citation":"https://pith.science/pith/JCP4HKRJUXU6RDDSGFQO24UPFQ/action/citation_signature","submit_replication":"https://pith.science/pith/JCP4HKRJUXU6RDDSGFQO24UPFQ/action/replication_record"}},"created_at":"2026-08-10T01:14:45.988352+00:00","updated_at":"2026-08-10T01:14:45.988352+00:00"}