{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:5QSBWNGNHA4D2XFRMQWOEIS7NR","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":"a49bb84693e47edb55d2816c95aedb0b3ca7d952013de34d25df05f33f232026","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-05-30T01:42:33Z","title_canon_sha256":"5f78522efbd8c041e29d0a3694ae4b969145a26ee3d7bf0a25812ed9d8c5cd81"},"schema_version":"1.0","source":{"id":"2606.00474","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.00474","created_at":"2026-06-02T01:03:55Z"},{"alias_kind":"arxiv_version","alias_value":"2606.00474v1","created_at":"2026-06-02T01:03:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.00474","created_at":"2026-06-02T01:03:55Z"},{"alias_kind":"pith_short_12","alias_value":"5QSBWNGNHA4D","created_at":"2026-06-02T01:03:55Z"},{"alias_kind":"pith_short_16","alias_value":"5QSBWNGNHA4D2XFR","created_at":"2026-06-02T01:03:55Z"},{"alias_kind":"pith_short_8","alias_value":"5QSBWNGN","created_at":"2026-06-02T01:03:55Z"}],"graph_snapshots":[{"event_id":"sha256:3dba1fd19e7e9457c5c254c46eedd8d51655b6edba013583dc1edbfcb42963b9","target":"graph","created_at":"2026-06-02T01:03:55Z","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/2606.00474/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We aim to rigorously address how local noise affects classical simulability of quantum dynamics benchmarked by tensor-network methods. Using operator entanglement entropy (OEE), we prove the following: (1) For single-qubit depolarizing noise on arbitrary circuits, tensor networks with $\\mathrm{poly}(n)$ bond dimension suffice for fixed absolute Hilbert-Schmidt error after $\\order{1}$ depth, while relative error demands $\\order{\\log n}$ depth; and this bound is optimal. (2) For single-qubit depolarizing noise on 1D local circuits, the existence of whole-trajectory error-bounded matrix product o","authors_text":"Song Cheng, Yuguo Shao, Zhengwei Liu, Zishuo Zhao","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-05-30T01:42:33Z","title":"Complexity of tensor network simulation for noisy quantum circuits"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.00474","kind":"arxiv","version":1},"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":"sha256:54022c4395229f9e3a4b67effec569743fadbcb01e0476defc1f771f041c03d7","target":"record","created_at":"2026-06-02T01:03:55Z","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":"a49bb84693e47edb55d2816c95aedb0b3ca7d952013de34d25df05f33f232026","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-05-30T01:42:33Z","title_canon_sha256":"5f78522efbd8c041e29d0a3694ae4b969145a26ee3d7bf0a25812ed9d8c5cd81"},"schema_version":"1.0","source":{"id":"2606.00474","kind":"arxiv","version":1}},"canonical_sha256":"ec241b34cd38383d5cb1642ce2225f6c606752658b3af7c15adb7aa289b1cf49","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ec241b34cd38383d5cb1642ce2225f6c606752658b3af7c15adb7aa289b1cf49","first_computed_at":"2026-06-02T01:03:55.699690Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-02T01:03:55.699690Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"M5dGOv/pxAUj59aGyVxMApI4gpiJ02NbUzJwPLsUgyS9c4wjO/BtgGuiRxmMcGWisa6s6r2nUpma/RDeUR0iCg==","signature_status":"signed_v1","signed_at":"2026-06-02T01:03:55.700090Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.00474","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:54022c4395229f9e3a4b67effec569743fadbcb01e0476defc1f771f041c03d7","sha256:3dba1fd19e7e9457c5c254c46eedd8d51655b6edba013583dc1edbfcb42963b9"],"state_sha256":"a79f937afffaeae9dfb56b8a041b0ab94063a0b59add3937b7168ef794fbbe5e"}