{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:VE3IXPHHX5VIABG76XY5ZLWSQO","short_pith_number":"pith:VE3IXPHH","schema_version":"1.0","canonical_sha256":"a9368bbce7bf6a8004dff5f1dcaed28394cb6e78d3edde805dd0fde61cb8c1a0","source":{"kind":"arxiv","id":"2203.17006","version":3},"attestation_state":"computed","paper":{"title":"Quantum simulation of real-space dynamics","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.DS"],"primary_cat":"quant-ph","authors_text":"Andrew M. Childs, Chenyi Zhang, Jiaqi Leng, Jin-Peng Liu, Tongyang Li","submitted_at":"2022-03-31T13:01:51Z","abstract_excerpt":"Quantum simulation is a prominent application of quantum computers. While there is extensive previous work on simulating finite-dimensional systems, less is known about quantum algorithms for real-space dynamics. We conduct a systematic study of such algorithms. In particular, we show that the dynamics of a $d$-dimensional Schr\\\"{o}dinger equation with $\\eta$ particles can be simulated with gate complexity $\\tilde{O}\\bigl(\\eta d F \\text{poly}(\\log(g'/\\epsilon))\\bigr)$, where $\\epsilon$ is the discretization error, $g'$ controls the higher-order derivatives of the wave function, and $F$ measure"},"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":"2203.17006","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-03-31T13:01:51Z","cross_cats_sorted":["cs.DS"],"title_canon_sha256":"bf6b36608cfa5b97414f1f77da6ddaca746c0d50c6dafda41672d75bbcc6f4dd","abstract_canon_sha256":"e53e0c710a1c8f8b17ac489aeec17c14caf5497a30dc23048f17b20308de379f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:18:27.572130Z","signature_b64":"naIKpL65T5AxDzhvjYuWeK3NA8gbpjIxLLqW4BmVqr5TNFp5/KxPMC9/XdGWynwiOrVFZhE3Org6O7pteOaeBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a9368bbce7bf6a8004dff5f1dcaed28394cb6e78d3edde805dd0fde61cb8c1a0","last_reissued_at":"2026-07-05T05:18:27.571650Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:18:27.571650Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum simulation of real-space dynamics","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.DS"],"primary_cat":"quant-ph","authors_text":"Andrew M. Childs, Chenyi Zhang, Jiaqi Leng, Jin-Peng Liu, Tongyang Li","submitted_at":"2022-03-31T13:01:51Z","abstract_excerpt":"Quantum simulation is a prominent application of quantum computers. While there is extensive previous work on simulating finite-dimensional systems, less is known about quantum algorithms for real-space dynamics. We conduct a systematic study of such algorithms. In particular, we show that the dynamics of a $d$-dimensional Schr\\\"{o}dinger equation with $\\eta$ particles can be simulated with gate complexity $\\tilde{O}\\bigl(\\eta d F \\text{poly}(\\log(g'/\\epsilon))\\bigr)$, where $\\epsilon$ is the discretization error, $g'$ controls the higher-order derivatives of the wave function, and $F$ measure"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2203.17006","kind":"arxiv","version":3},"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/2203.17006/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":"2203.17006","created_at":"2026-07-05T05:18:27.571709+00:00"},{"alias_kind":"arxiv_version","alias_value":"2203.17006v3","created_at":"2026-07-05T05:18:27.571709+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2203.17006","created_at":"2026-07-05T05:18:27.571709+00:00"},{"alias_kind":"pith_short_12","alias_value":"VE3IXPHHX5VI","created_at":"2026-07-05T05:18:27.571709+00:00"},{"alias_kind":"pith_short_16","alias_value":"VE3IXPHHX5VIABG7","created_at":"2026-07-05T05:18:27.571709+00:00"},{"alias_kind":"pith_short_8","alias_value":"VE3IXPHH","created_at":"2026-07-05T05:18:27.571709+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/VE3IXPHHX5VIABG76XY5ZLWSQO","json":"https://pith.science/pith/VE3IXPHHX5VIABG76XY5ZLWSQO.json","graph_json":"https://pith.science/api/pith-number/VE3IXPHHX5VIABG76XY5ZLWSQO/graph.json","events_json":"https://pith.science/api/pith-number/VE3IXPHHX5VIABG76XY5ZLWSQO/events.json","paper":"https://pith.science/paper/VE3IXPHH"},"agent_actions":{"view_html":"https://pith.science/pith/VE3IXPHHX5VIABG76XY5ZLWSQO","download_json":"https://pith.science/pith/VE3IXPHHX5VIABG76XY5ZLWSQO.json","view_paper":"https://pith.science/paper/VE3IXPHH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2203.17006&json=true","fetch_graph":"https://pith.science/api/pith-number/VE3IXPHHX5VIABG76XY5ZLWSQO/graph.json","fetch_events":"https://pith.science/api/pith-number/VE3IXPHHX5VIABG76XY5ZLWSQO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VE3IXPHHX5VIABG76XY5ZLWSQO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VE3IXPHHX5VIABG76XY5ZLWSQO/action/storage_attestation","attest_author":"https://pith.science/pith/VE3IXPHHX5VIABG76XY5ZLWSQO/action/author_attestation","sign_citation":"https://pith.science/pith/VE3IXPHHX5VIABG76XY5ZLWSQO/action/citation_signature","submit_replication":"https://pith.science/pith/VE3IXPHHX5VIABG76XY5ZLWSQO/action/replication_record"}},"created_at":"2026-07-05T05:18:27.571709+00:00","updated_at":"2026-07-05T05:18:27.571709+00:00"}