{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:ECQIOKG2CCRZZWVOZKERKQYVSS","short_pith_number":"pith:ECQIOKG2","schema_version":"1.0","canonical_sha256":"20a08728da10a39cdaaeca8915431594b272386a773c0de6f5982fd2af7b7477","source":{"kind":"arxiv","id":"1703.00454","version":4},"attestation_state":"computed","paper":{"title":"BQP-completeness of Scattering in Scalar Quantum Field Theory","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Hari Krovi, John Preskill, Keith S. M. Lee, Stephen P. Jordan","submitted_at":"2017-03-01T19:00:02Z","abstract_excerpt":"Recent work has shown that quantum computers can compute scattering probabilities in massive quantum field theories, with a run time that is polynomial in the number of particles, their energy, and the desired precision. Here we study a closely related quantum field-theoretical problem: estimating the vacuum-to-vacuum transition amplitude, in the presence of spacetime-dependent classical sources, for a massive scalar field theory in (1+1) dimensions. We show that this problem is BQP-hard; in other words, its solution enables one to solve any problem that is solvable in polynomial time by a qua"},"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":"1703.00454","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2017-03-01T19:00:02Z","cross_cats_sorted":[],"title_canon_sha256":"9c33f98bb16d5de1dc6ab57302ea541771bb03bc27359ba6e4c8fa2d05a0ba05","abstract_canon_sha256":"71085b78fa0b25d38886a80bf23a6eeb7740d7ac55f89a2dd8364fad7ba35622"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:37.303385Z","signature_b64":"97syU5p6kbH0KXu+S6SfBO3iV2J02lx2gj4D/2jFtfO/uAYtp0AJN3w8XC1lAbe2xzl9gHvMJYTqnkD+3HIRAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"20a08728da10a39cdaaeca8915431594b272386a773c0de6f5982fd2af7b7477","last_reissued_at":"2026-05-18T00:26:37.302798Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:37.302798Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"BQP-completeness of Scattering in Scalar Quantum Field Theory","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Hari Krovi, John Preskill, Keith S. M. Lee, Stephen P. Jordan","submitted_at":"2017-03-01T19:00:02Z","abstract_excerpt":"Recent work has shown that quantum computers can compute scattering probabilities in massive quantum field theories, with a run time that is polynomial in the number of particles, their energy, and the desired precision. Here we study a closely related quantum field-theoretical problem: estimating the vacuum-to-vacuum transition amplitude, in the presence of spacetime-dependent classical sources, for a massive scalar field theory in (1+1) dimensions. We show that this problem is BQP-hard; in other words, its solution enables one to solve any problem that is solvable in polynomial time by a qua"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.00454","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1703.00454","created_at":"2026-05-18T00:26:37.302890+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.00454v4","created_at":"2026-05-18T00:26:37.302890+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.00454","created_at":"2026-05-18T00:26:37.302890+00:00"},{"alias_kind":"pith_short_12","alias_value":"ECQIOKG2CCRZ","created_at":"2026-05-18T12:31:12.930513+00:00"},{"alias_kind":"pith_short_16","alias_value":"ECQIOKG2CCRZZWVO","created_at":"2026-05-18T12:31:12.930513+00:00"},{"alias_kind":"pith_short_8","alias_value":"ECQIOKG2","created_at":"2026-05-18T12:31:12.930513+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.05479","citing_title":"Quantum Simulation of the Real-time Dynamics in the multi-flavor Gross-Neveu Model at the utility scale using Superconducting Quantum Computers","ref_index":12,"is_internal_anchor":false},{"citing_arxiv_id":"2604.10025","citing_title":"Toward selective quantum advantage in hadronic tomography:explicit cases from Compton form factors, GPDs, TMDs, and GTMDs","ref_index":6,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ECQIOKG2CCRZZWVOZKERKQYVSS","json":"https://pith.science/pith/ECQIOKG2CCRZZWVOZKERKQYVSS.json","graph_json":"https://pith.science/api/pith-number/ECQIOKG2CCRZZWVOZKERKQYVSS/graph.json","events_json":"https://pith.science/api/pith-number/ECQIOKG2CCRZZWVOZKERKQYVSS/events.json","paper":"https://pith.science/paper/ECQIOKG2"},"agent_actions":{"view_html":"https://pith.science/pith/ECQIOKG2CCRZZWVOZKERKQYVSS","download_json":"https://pith.science/pith/ECQIOKG2CCRZZWVOZKERKQYVSS.json","view_paper":"https://pith.science/paper/ECQIOKG2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.00454&json=true","fetch_graph":"https://pith.science/api/pith-number/ECQIOKG2CCRZZWVOZKERKQYVSS/graph.json","fetch_events":"https://pith.science/api/pith-number/ECQIOKG2CCRZZWVOZKERKQYVSS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ECQIOKG2CCRZZWVOZKERKQYVSS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ECQIOKG2CCRZZWVOZKERKQYVSS/action/storage_attestation","attest_author":"https://pith.science/pith/ECQIOKG2CCRZZWVOZKERKQYVSS/action/author_attestation","sign_citation":"https://pith.science/pith/ECQIOKG2CCRZZWVOZKERKQYVSS/action/citation_signature","submit_replication":"https://pith.science/pith/ECQIOKG2CCRZZWVOZKERKQYVSS/action/replication_record"}},"created_at":"2026-05-18T00:26:37.302890+00:00","updated_at":"2026-05-18T00:26:37.302890+00:00"}