{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:3A3AIABCCADRY3LBWQPFVY5KOL","short_pith_number":"pith:3A3AIABC","schema_version":"1.0","canonical_sha256":"d83604002210071c6d61b41e5ae3aa72f9b2bca23e0013123cea174f10178752","source":{"kind":"arxiv","id":"2209.06242","version":2},"attestation_state":"computed","paper":{"title":"Self-healing of Trotter error in digital adiabatic state preparation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Alicia B. Magann, Andrew D. Baczewski, Fernando A. Calderon-Vargas, James B. Larsen, Lucas K. Kovalsky, Matthew D. Grace, Mohan Sarovar","submitted_at":"2022-09-13T18:05:07Z","abstract_excerpt":"Adiabatic time evolution can be used to prepare a complicated quantum many-body state from one that is easier to synthesize and Trotterization can be used to implement such an evolution digitally. The complex interplay between non-adiabaticity and digitization influences the infidelity of this process. We prove that the first-order Trotterization of a complete adiabatic evolution has a cumulative infidelity that scales as $\\mathcal O(T^{-2} \\delta t^2)$ instead of $\\mathcal O(T^2 \\delta t^2)$ expected from general Trotter error bounds, where $\\delta t$ is the time step and $T$ is the total tim"},"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":"2209.06242","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-09-13T18:05:07Z","cross_cats_sorted":[],"title_canon_sha256":"b247463a085ebc8305bcba894b29534fb2455da5f772afe0b9a320147f29cde7","abstract_canon_sha256":"0310e9af5abbb6e061f525b42cf581667641715b3aea79f704fffe6330c64de2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:40:10.561133Z","signature_b64":"IF8j2LRFGC228z1C2WBkW0K03KIKfPsdd5GZ6UiESJSzletVIO0CSx55A/N33QFOkDqNz0Kf+/+YvgY63s9HCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d83604002210071c6d61b41e5ae3aa72f9b2bca23e0013123cea174f10178752","last_reissued_at":"2026-07-05T06:40:10.560628Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:40:10.560628Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Self-healing of Trotter error in digital adiabatic state preparation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Alicia B. Magann, Andrew D. Baczewski, Fernando A. Calderon-Vargas, James B. Larsen, Lucas K. Kovalsky, Matthew D. Grace, Mohan Sarovar","submitted_at":"2022-09-13T18:05:07Z","abstract_excerpt":"Adiabatic time evolution can be used to prepare a complicated quantum many-body state from one that is easier to synthesize and Trotterization can be used to implement such an evolution digitally. The complex interplay between non-adiabaticity and digitization influences the infidelity of this process. We prove that the first-order Trotterization of a complete adiabatic evolution has a cumulative infidelity that scales as $\\mathcal O(T^{-2} \\delta t^2)$ instead of $\\mathcal O(T^2 \\delta t^2)$ expected from general Trotter error bounds, where $\\delta t$ is the time step and $T$ is the total tim"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2209.06242","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/2209.06242/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":"2209.06242","created_at":"2026-07-05T06:40:10.560694+00:00"},{"alias_kind":"arxiv_version","alias_value":"2209.06242v2","created_at":"2026-07-05T06:40:10.560694+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2209.06242","created_at":"2026-07-05T06:40:10.560694+00:00"},{"alias_kind":"pith_short_12","alias_value":"3A3AIABCCADR","created_at":"2026-07-05T06:40:10.560694+00:00"},{"alias_kind":"pith_short_16","alias_value":"3A3AIABCCADRY3LB","created_at":"2026-07-05T06:40:10.560694+00:00"},{"alias_kind":"pith_short_8","alias_value":"3A3AIABC","created_at":"2026-07-05T06:40:10.560694+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2509.13528","citing_title":"Evaluating the Limits of QAOA Parameter Transfer at High-Rounds on Sparse Ising Models With Geometrically Local Cubic Terms","ref_index":85,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/3A3AIABCCADRY3LBWQPFVY5KOL","json":"https://pith.science/pith/3A3AIABCCADRY3LBWQPFVY5KOL.json","graph_json":"https://pith.science/api/pith-number/3A3AIABCCADRY3LBWQPFVY5KOL/graph.json","events_json":"https://pith.science/api/pith-number/3A3AIABCCADRY3LBWQPFVY5KOL/events.json","paper":"https://pith.science/paper/3A3AIABC"},"agent_actions":{"view_html":"https://pith.science/pith/3A3AIABCCADRY3LBWQPFVY5KOL","download_json":"https://pith.science/pith/3A3AIABCCADRY3LBWQPFVY5KOL.json","view_paper":"https://pith.science/paper/3A3AIABC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2209.06242&json=true","fetch_graph":"https://pith.science/api/pith-number/3A3AIABCCADRY3LBWQPFVY5KOL/graph.json","fetch_events":"https://pith.science/api/pith-number/3A3AIABCCADRY3LBWQPFVY5KOL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3A3AIABCCADRY3LBWQPFVY5KOL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3A3AIABCCADRY3LBWQPFVY5KOL/action/storage_attestation","attest_author":"https://pith.science/pith/3A3AIABCCADRY3LBWQPFVY5KOL/action/author_attestation","sign_citation":"https://pith.science/pith/3A3AIABCCADRY3LBWQPFVY5KOL/action/citation_signature","submit_replication":"https://pith.science/pith/3A3AIABCCADRY3LBWQPFVY5KOL/action/replication_record"}},"created_at":"2026-07-05T06:40:10.560694+00:00","updated_at":"2026-07-05T06:40:10.560694+00:00"}