{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:IYLSR2GE4SLPZ64PG3ZZUKV6HH","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":"d522b0a972fdf506bd8472f132a02e1954bc89b8ae996a63b157691f019da360","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-03-16T17:41:19Z","title_canon_sha256":"7bfd5fc756cedde09e2fbe69223edd46936d2f4ce8cf6dedd1b1b36e5ce41d06"},"schema_version":"1.0","source":{"id":"2203.08776","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2203.08776","created_at":"2026-07-05T05:11:37Z"},{"alias_kind":"arxiv_version","alias_value":"2203.08776v4","created_at":"2026-07-05T05:11:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2203.08776","created_at":"2026-07-05T05:11:37Z"},{"alias_kind":"pith_short_12","alias_value":"IYLSR2GE4SLP","created_at":"2026-07-05T05:11:37Z"},{"alias_kind":"pith_short_16","alias_value":"IYLSR2GE4SLPZ64P","created_at":"2026-07-05T05:11:37Z"},{"alias_kind":"pith_short_8","alias_value":"IYLSR2GE","created_at":"2026-07-05T05:11:37Z"}],"graph_snapshots":[{"event_id":"sha256:7d943a435f3bb8908a0b9eff3622e67d773a95d9e6c7e71da723f1555166894e","target":"graph","created_at":"2026-07-05T05:11:37Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2203.08776/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"$\\mathcal{PT}$-symmetric system has attracted extensive attention in recent years because of its unique properties and applications. How to simulate $\\mathcal{PT}$-symmetric system in traditional quantum mechanical system has not only fundamental theoretical significance but also practical value. We propose a dynamics simulation scheme of arbitrary time-dependent $\\mathcal{PT}$-symmetric system based on density operators, and the results are compatible with previous methods based on pure-state vectors. Based on the above, we are able to study the influence of quantum noises on the simulation r","authors_text":"Chao Zheng, Guilu Long, Jiancun Gao, Xiaogang Li","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-03-16T17:41:19Z","title":"Dynamics simulation and numerical analysis of arbitrary time-dependent $\\mathcal{PT}$-symmetric system based on density operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2203.08776","kind":"arxiv","version":4},"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":"sha256:6c770b0f596ac203ed9a7189eaea08accb173c664c5612e59a7322378b9b82c8","target":"record","created_at":"2026-07-05T05:11:37Z","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":"d522b0a972fdf506bd8472f132a02e1954bc89b8ae996a63b157691f019da360","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-03-16T17:41:19Z","title_canon_sha256":"7bfd5fc756cedde09e2fbe69223edd46936d2f4ce8cf6dedd1b1b36e5ce41d06"},"schema_version":"1.0","source":{"id":"2203.08776","kind":"arxiv","version":4}},"canonical_sha256":"461728e8c4e496fcfb8f36f39a2abe39f562b5144499b9dc60c268c19d9a4ea5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"461728e8c4e496fcfb8f36f39a2abe39f562b5144499b9dc60c268c19d9a4ea5","first_computed_at":"2026-07-05T05:11:37.654599Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:11:37.654599Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2duHBq+wp3Sh+y6N0gRFH3dCKP/Vdhb794PM/WXiMPaWOX99+jTrOPN1XE91FqM8e7JyeZWjOowL7KySiWX5DQ==","signature_status":"signed_v1","signed_at":"2026-07-05T05:11:37.655064Z","signed_message":"canonical_sha256_bytes"},"source_id":"2203.08776","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6c770b0f596ac203ed9a7189eaea08accb173c664c5612e59a7322378b9b82c8","sha256:7d943a435f3bb8908a0b9eff3622e67d773a95d9e6c7e71da723f1555166894e"],"state_sha256":"2f88f889bd30e09798d1c07b22e58725e5a01c749f84e526154d94ff141a4da6"}