{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:MVL6QFEO2TORHO6S42G5SP4L2Q","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":"75cec391c9e5c9e98a66860156a517ceffbd76ab5fc69c9ffc262096251b072a","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.quant-gas"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-05-11T18:08:08Z","title_canon_sha256":"49b1c5f9bbf4a3b7746be893bbe71b87a879b6be493257fe9972b52b4f37d51c"},"schema_version":"1.0","source":{"id":"2605.11103","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.11103","created_at":"2026-05-20T00:03:17Z"},{"alias_kind":"arxiv_version","alias_value":"2605.11103v2","created_at":"2026-05-20T00:03:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.11103","created_at":"2026-05-20T00:03:17Z"},{"alias_kind":"pith_short_12","alias_value":"MVL6QFEO2TOR","created_at":"2026-05-20T00:03:17Z"},{"alias_kind":"pith_short_16","alias_value":"MVL6QFEO2TORHO6S","created_at":"2026-05-20T00:03:17Z"},{"alias_kind":"pith_short_8","alias_value":"MVL6QFEO","created_at":"2026-05-20T00:03:17Z"}],"graph_snapshots":[{"event_id":"sha256:78e4bbb20d74ab26388e1869d0d35cc2d403fea16a0e8ab58645aa807540b8d2","target":"graph","created_at":"2026-05-20T00:03:17Z","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":4,"items":[{"attestation":"unclaimed","claim_id":"C1","kind":"strongest_claim","source":"verdict.strongest_claim","status":"machine_extracted","text":"We show how one may perform a stochastic unraveling which respects weak permutation symmetry for models of N emitters coupled to a common system (e.g. a cavity mode). For problems involving 2-level emitters, such an unravelling reduces the computational cost from O(N^5) to O(N^2), and with additional refinements, allows reduction to O(N)."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"That a stochastic unraveling can be constructed to respect weak permutation symmetry while exactly reproducing the dynamics of the underlying master equation for the symmetric system."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"A permutation-symmetric stochastic unraveling reduces quantum trajectory simulation cost for N two-level emitters from O(N^5) to O(N) while preserving exact average dynamics."},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"A stochastic unraveling that respects weak permutation symmetry exactly reproduces the master equation for N emitters coupled to a shared mode while reducing simulation cost from O(N^5) to O(N^2) for two-level systems."}],"snapshot_sha256":"50f36aace56111cc363a18edcefbe2b4bd2b7265dfa09f0a50de8d533fca6f6e"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[{"findings_count":0,"name":"ai_meta_artifact","ran_at":"2026-05-19T13:36:06.961054Z","status":"completed","version":"1.0.0"},{"findings_count":0,"name":"doi_title_agreement","ran_at":"2026-05-19T10:31:16.856964Z","status":"completed","version":"1.0.0"},{"findings_count":0,"name":"doi_compliance","ran_at":"2026-05-19T08:46:58.430133Z","status":"completed","version":"1.0.0"}],"endpoint":"/pith/2605.11103/integrity.json","findings":[],"snapshot_sha256":"0fc3a47ec9a09db126cad4a3260212fad2d614aa50fb827d69947acda7c1bf8e","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show how one may perform a stochastic unraveling which respects weak permutation symmetry for models of $N$ emitters coupled to a common system (e.g. a cavity mode). For problems involving 2-level emitters, such an unravelling reduces the computational cost from $\\mathcal{O}(N^5)$ to $\\mathcal{O}(N^2)$, and with additional refinements, allows reduction to $\\mathcal{O}(N)$. This significantly increases the range of system sizes for which one can model exact quantum dynamics of such systems. We further show how the method can also be applied to d-level systems, with computational effort scali","authors_text":"Aleksandra A. Ziolkowska, Elliot W. Lloyd, Jonathan Keeling","cross_cats":["cond-mat.mes-hall","cond-mat.quant-gas"],"headline":"A stochastic unraveling that respects weak permutation symmetry exactly reproduces the master equation for N emitters coupled to a shared mode while reducing simulation cost from O(N^5) to O(N^2) for two-level systems.","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-05-11T18:08:08Z","title":"Permutation-symmetric quantum trajectories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.11103","kind":"arxiv","version":2},"verdict":{"created_at":"2026-05-13T02:47:16.123456Z","id":"d9792981-4ce0-40f0-b651-ed541ba1bc38","model_set":{"reader":"grok-4.3"},"one_line_summary":"A permutation-symmetric stochastic unraveling reduces quantum trajectory simulation cost for N two-level emitters from O(N^5) to O(N) while preserving exact average dynamics.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"A stochastic unraveling that respects weak permutation symmetry exactly reproduces the master equation for N emitters coupled to a shared mode while reducing simulation cost from O(N^5) to O(N^2) for two-level systems.","strongest_claim":"We show how one may perform a stochastic unraveling which respects weak permutation symmetry for models of N emitters coupled to a common system (e.g. a cavity mode). For problems involving 2-level emitters, such an unravelling reduces the computational cost from O(N^5) to O(N^2), and with additional refinements, allows reduction to O(N).","weakest_assumption":"That a stochastic unraveling can be constructed to respect weak permutation symmetry while exactly reproducing the dynamics of the underlying master equation for the symmetric system."}},"verdict_id":"d9792981-4ce0-40f0-b651-ed541ba1bc38"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:4da77dbb8ac1f927e963ea8ca25d20f12ac7083f885c0a2e1b95ba9a4cec38a0","target":"record","created_at":"2026-05-20T00:03:17Z","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":"75cec391c9e5c9e98a66860156a517ceffbd76ab5fc69c9ffc262096251b072a","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.quant-gas"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-05-11T18:08:08Z","title_canon_sha256":"49b1c5f9bbf4a3b7746be893bbe71b87a879b6be493257fe9972b52b4f37d51c"},"schema_version":"1.0","source":{"id":"2605.11103","kind":"arxiv","version":2}},"canonical_sha256":"6557e8148ed4dd13bbd2e68dd93f8bd428ab9dc03ebd42731dd150b8bdc52487","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6557e8148ed4dd13bbd2e68dd93f8bd428ab9dc03ebd42731dd150b8bdc52487","first_computed_at":"2026-05-20T00:03:17.285909Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:03:17.285909Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ukw+AfyyFSdK+4HY6L3OWeUjMYJTUlV5YFELIszEC+0gUPnAoKwuwH0NlEsrFOekGhrLfJGUQmoT9G/wG8GBCg==","signature_status":"signed_v1","signed_at":"2026-05-20T00:03:17.286813Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.11103","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4da77dbb8ac1f927e963ea8ca25d20f12ac7083f885c0a2e1b95ba9a4cec38a0","sha256:78e4bbb20d74ab26388e1869d0d35cc2d403fea16a0e8ab58645aa807540b8d2"],"state_sha256":"f52f1c88ad622c837e70e1b78ab3a305f2cd7b9745f7d129b5870c4ed3b00b70"}