{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:NGZYYHFZ52P7BRZNI4HFCZHEZB","short_pith_number":"pith:NGZYYHFZ","schema_version":"1.0","canonical_sha256":"69b38c1cb9ee9ff0c72d470e5164e4c86c22dc6533d31ceebbd414f86a74663c","source":{"kind":"arxiv","id":"2312.11635","version":2},"attestation_state":"computed","paper":{"title":"Spread complexity for measurement-induced non-unitary dynamics and Zeno effect","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","quant-ph"],"primary_cat":"hep-th","authors_text":"Aranya Bhattacharya, Bidyut Dey, Johanna Erdmenger, Rathindra Nath Das","submitted_at":"2023-12-18T19:00:05Z","abstract_excerpt":"Using spread complexity and spread entropy, we study non-unitary quantum dynamics. For non-hermitian Hamiltonians, we extend the bi-Lanczos construction for the Krylov basis to the Schr\\\"odinger picture. Moreover, we implement an algorithm adapted to complex symmetric Hamiltonians. This reduces the computational memory requirements by half compared to the bi-Lanczos construction. We apply this construction to the one-dimensional tight-binding Hamiltonian subject to repeated measurements at fixed small time intervals, resulting in effective non-unitary dynamics. We find that the spread complexi"},"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":"2312.11635","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-12-18T19:00:05Z","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"title_canon_sha256":"572910d3b48b20062b4b8740217b8412484aa8e8128ffb8dedf641d80de923a4","abstract_canon_sha256":"d1b018df6507efc511db33fbf692dfd5472df0627d438b288c2e4e82902425b9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:03:28.983419Z","signature_b64":"gsiwvXe/3q9oyNqdaKT5YH6WcuF5m7tJmAXwUdqyxjh/hN2DHsQ9YtvWiGto1iuRc1mK+Oy8klNcNiih6dIMBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"69b38c1cb9ee9ff0c72d470e5164e4c86c22dc6533d31ceebbd414f86a74663c","last_reissued_at":"2026-07-05T08:03:28.982942Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:03:28.982942Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spread complexity for measurement-induced non-unitary dynamics and Zeno effect","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","quant-ph"],"primary_cat":"hep-th","authors_text":"Aranya Bhattacharya, Bidyut Dey, Johanna Erdmenger, Rathindra Nath Das","submitted_at":"2023-12-18T19:00:05Z","abstract_excerpt":"Using spread complexity and spread entropy, we study non-unitary quantum dynamics. For non-hermitian Hamiltonians, we extend the bi-Lanczos construction for the Krylov basis to the Schr\\\"odinger picture. Moreover, we implement an algorithm adapted to complex symmetric Hamiltonians. This reduces the computational memory requirements by half compared to the bi-Lanczos construction. We apply this construction to the one-dimensional tight-binding Hamiltonian subject to repeated measurements at fixed small time intervals, resulting in effective non-unitary dynamics. We find that the spread complexi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.11635","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2312.11635/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":"2312.11635","created_at":"2026-07-05T08:03:28.982998+00:00"},{"alias_kind":"arxiv_version","alias_value":"2312.11635v2","created_at":"2026-07-05T08:03:28.982998+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.11635","created_at":"2026-07-05T08:03:28.982998+00:00"},{"alias_kind":"pith_short_12","alias_value":"NGZYYHFZ52P7","created_at":"2026-07-05T08:03:28.982998+00:00"},{"alias_kind":"pith_short_16","alias_value":"NGZYYHFZ52P7BRZN","created_at":"2026-07-05T08:03:28.982998+00:00"},{"alias_kind":"pith_short_8","alias_value":"NGZYYHFZ","created_at":"2026-07-05T08:03:28.982998+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.05303","citing_title":"Krylov Complexity: Flat bands and Carroll breaking deformations","ref_index":71,"is_internal_anchor":false},{"citing_arxiv_id":"2509.14810","citing_title":"Krylov Complexity for Open Quantum System: Dissipation and Decoherence","ref_index":65,"is_internal_anchor":false},{"citing_arxiv_id":"2604.20619","citing_title":"Stochastic Krylov Dynamics: Revisiting Operator Growth in Open Quantum Systems","ref_index":29,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/NGZYYHFZ52P7BRZNI4HFCZHEZB","json":"https://pith.science/pith/NGZYYHFZ52P7BRZNI4HFCZHEZB.json","graph_json":"https://pith.science/api/pith-number/NGZYYHFZ52P7BRZNI4HFCZHEZB/graph.json","events_json":"https://pith.science/api/pith-number/NGZYYHFZ52P7BRZNI4HFCZHEZB/events.json","paper":"https://pith.science/paper/NGZYYHFZ"},"agent_actions":{"view_html":"https://pith.science/pith/NGZYYHFZ52P7BRZNI4HFCZHEZB","download_json":"https://pith.science/pith/NGZYYHFZ52P7BRZNI4HFCZHEZB.json","view_paper":"https://pith.science/paper/NGZYYHFZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2312.11635&json=true","fetch_graph":"https://pith.science/api/pith-number/NGZYYHFZ52P7BRZNI4HFCZHEZB/graph.json","fetch_events":"https://pith.science/api/pith-number/NGZYYHFZ52P7BRZNI4HFCZHEZB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NGZYYHFZ52P7BRZNI4HFCZHEZB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NGZYYHFZ52P7BRZNI4HFCZHEZB/action/storage_attestation","attest_author":"https://pith.science/pith/NGZYYHFZ52P7BRZNI4HFCZHEZB/action/author_attestation","sign_citation":"https://pith.science/pith/NGZYYHFZ52P7BRZNI4HFCZHEZB/action/citation_signature","submit_replication":"https://pith.science/pith/NGZYYHFZ52P7BRZNI4HFCZHEZB/action/replication_record"}},"created_at":"2026-07-05T08:03:28.982998+00:00","updated_at":"2026-07-05T08:03:28.982998+00:00"}