{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:UCBPYIFMPJFDAY2YUFBZ6JEZAP","short_pith_number":"pith:UCBPYIFM","schema_version":"1.0","canonical_sha256":"a082fc20ac7a4a306358a1439f249903f07beb418bc57aa6c5b57d58fdafff0c","source":{"kind":"arxiv","id":"2105.10187","version":1},"attestation_state":"computed","paper":{"title":"Optimal parent Hamiltonians for time-dependent states","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Antonio Mezzacapo, Davide Rattacaso, Gianluca Passarelli, Procolo Lucignano, Rosario Fazio","submitted_at":"2021-05-21T07:54:55Z","abstract_excerpt":"Given a generic time-dependent many-body quantum state, we determine the associated parent Hamiltonian. This procedure may require, in general, interactions of any sort. Enforcing the requirement of a fixed set of engineerable Hamiltonians, we find the optimal Hamiltonian once a set of realistic elementary interactions is defined. We provide three examples of this approach. We first apply the optimization protocol to the ground states of the one-dimensional Ising model and a ferromagnetic $p$-spin model but with time-dependent coefficients. We also consider a time-dependent state that interpol"},"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":"2105.10187","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-05-21T07:54:55Z","cross_cats_sorted":[],"title_canon_sha256":"69013c0ec892aacdb9c60b43a28a9e249c6c19bfa48c70afee4669bc0b186a89","abstract_canon_sha256":"1b2de33a68b32c6b307f83cd5d4bf1f85ecfdf93ac4133a8aff109dc9267614f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:10:08.998713Z","signature_b64":"64W3ty7ukjV+4+Gzu2wNDslT8Okmt0zHW+j+g5CJgaW1GmBgXIKlNGM0t3CGdzRRAobR9VfyTv4plCP+BOxMCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a082fc20ac7a4a306358a1439f249903f07beb418bc57aa6c5b57d58fdafff0c","last_reissued_at":"2026-07-05T03:10:08.998291Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:10:08.998291Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Optimal parent Hamiltonians for time-dependent states","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Antonio Mezzacapo, Davide Rattacaso, Gianluca Passarelli, Procolo Lucignano, Rosario Fazio","submitted_at":"2021-05-21T07:54:55Z","abstract_excerpt":"Given a generic time-dependent many-body quantum state, we determine the associated parent Hamiltonian. This procedure may require, in general, interactions of any sort. Enforcing the requirement of a fixed set of engineerable Hamiltonians, we find the optimal Hamiltonian once a set of realistic elementary interactions is defined. We provide three examples of this approach. We first apply the optimization protocol to the ground states of the one-dimensional Ising model and a ferromagnetic $p$-spin model but with time-dependent coefficients. We also consider a time-dependent state that interpol"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.10187","kind":"arxiv","version":1},"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/2105.10187/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":"2105.10187","created_at":"2026-07-05T03:10:08.998361+00:00"},{"alias_kind":"arxiv_version","alias_value":"2105.10187v1","created_at":"2026-07-05T03:10:08.998361+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.10187","created_at":"2026-07-05T03:10:08.998361+00:00"},{"alias_kind":"pith_short_12","alias_value":"UCBPYIFMPJFD","created_at":"2026-07-05T03:10:08.998361+00:00"},{"alias_kind":"pith_short_16","alias_value":"UCBPYIFMPJFDAY2Y","created_at":"2026-07-05T03:10:08.998361+00:00"},{"alias_kind":"pith_short_8","alias_value":"UCBPYIFM","created_at":"2026-07-05T03:10:08.998361+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/UCBPYIFMPJFDAY2YUFBZ6JEZAP","json":"https://pith.science/pith/UCBPYIFMPJFDAY2YUFBZ6JEZAP.json","graph_json":"https://pith.science/api/pith-number/UCBPYIFMPJFDAY2YUFBZ6JEZAP/graph.json","events_json":"https://pith.science/api/pith-number/UCBPYIFMPJFDAY2YUFBZ6JEZAP/events.json","paper":"https://pith.science/paper/UCBPYIFM"},"agent_actions":{"view_html":"https://pith.science/pith/UCBPYIFMPJFDAY2YUFBZ6JEZAP","download_json":"https://pith.science/pith/UCBPYIFMPJFDAY2YUFBZ6JEZAP.json","view_paper":"https://pith.science/paper/UCBPYIFM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2105.10187&json=true","fetch_graph":"https://pith.science/api/pith-number/UCBPYIFMPJFDAY2YUFBZ6JEZAP/graph.json","fetch_events":"https://pith.science/api/pith-number/UCBPYIFMPJFDAY2YUFBZ6JEZAP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UCBPYIFMPJFDAY2YUFBZ6JEZAP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UCBPYIFMPJFDAY2YUFBZ6JEZAP/action/storage_attestation","attest_author":"https://pith.science/pith/UCBPYIFMPJFDAY2YUFBZ6JEZAP/action/author_attestation","sign_citation":"https://pith.science/pith/UCBPYIFMPJFDAY2YUFBZ6JEZAP/action/citation_signature","submit_replication":"https://pith.science/pith/UCBPYIFMPJFDAY2YUFBZ6JEZAP/action/replication_record"}},"created_at":"2026-07-05T03:10:08.998361+00:00","updated_at":"2026-07-05T03:10:08.998361+00:00"}