{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:3SVJWGMNB7DRFBL4AM2GKUBMAO","short_pith_number":"pith:3SVJWGMN","schema_version":"1.0","canonical_sha256":"dcaa9b198d0fc712857c033465502c03b0473a49fb5d00e04b69c8bc9a99f7f2","source":{"kind":"arxiv","id":"2212.13969","version":1},"attestation_state":"computed","paper":{"title":"Quantum simulation of partial differential equations via Schrodingerisation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Nana Liu, Shi Jin, Yue Yu","submitted_at":"2022-12-28T17:32:38Z","abstract_excerpt":"We present a simple new way - called Schrodingerisation - to simulate general linear partial differential equations via quantum simulation. Using a simple new transform, referred to as the warped phase transformation, any linear partial differential equation can be recast into a system of Schrodinger's equations - in real time - in a straightforward way. This can be seen directly on the level of the dynamical equations without more sophisticated methods. This approach is not only applicable to PDEs for classical problems but also those for quantum problems - like the preparation of quantum gro"},"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":"2212.13969","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-12-28T17:32:38Z","cross_cats_sorted":[],"title_canon_sha256":"9c8cc56064e692725f86b800306b4e85826f47307d93159f9c9f4533920144be","abstract_canon_sha256":"fcec48fabe3394b6b4a0caa43e901d98df6caddf69828413b44f46b9f85366ba"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:39:44.722967Z","signature_b64":"tfhAG+3UoUfcWk4htbPNXsRibKCPLqeTbZ35RXpa/lqin0ObQ5t5LoicdZGZ/75mH/XUDkp6DbTJJUIJoc+UCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dcaa9b198d0fc712857c033465502c03b0473a49fb5d00e04b69c8bc9a99f7f2","last_reissued_at":"2026-07-05T10:39:44.722488Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:39:44.722488Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum simulation of partial differential equations via Schrodingerisation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Nana Liu, Shi Jin, Yue Yu","submitted_at":"2022-12-28T17:32:38Z","abstract_excerpt":"We present a simple new way - called Schrodingerisation - to simulate general linear partial differential equations via quantum simulation. Using a simple new transform, referred to as the warped phase transformation, any linear partial differential equation can be recast into a system of Schrodinger's equations - in real time - in a straightforward way. This can be seen directly on the level of the dynamical equations without more sophisticated methods. This approach is not only applicable to PDEs for classical problems but also those for quantum problems - like the preparation of quantum gro"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.13969","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/2212.13969/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":"2212.13969","created_at":"2026-07-05T10:39:44.722549+00:00"},{"alias_kind":"arxiv_version","alias_value":"2212.13969v1","created_at":"2026-07-05T10:39:44.722549+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.13969","created_at":"2026-07-05T10:39:44.722549+00:00"},{"alias_kind":"pith_short_12","alias_value":"3SVJWGMNB7DR","created_at":"2026-07-05T10:39:44.722549+00:00"},{"alias_kind":"pith_short_16","alias_value":"3SVJWGMNB7DRFBL4","created_at":"2026-07-05T10:39:44.722549+00:00"},{"alias_kind":"pith_short_8","alias_value":"3SVJWGMN","created_at":"2026-07-05T10:39:44.722549+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":5,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.20975","citing_title":"Solving Einstein Field Equations on a Digital Quantum Computer","ref_index":47,"is_internal_anchor":false},{"citing_arxiv_id":"2606.29848","citing_title":"Quantum Eigenvalue Transformation via Linear Combination of Hamiltonian Simulation: A Weyl Calculus Approach","ref_index":37,"is_internal_anchor":false},{"citing_arxiv_id":"2605.18877","citing_title":"Logical Resource Estimation for Quantum State Preparation with Compilation","ref_index":22,"is_internal_anchor":false},{"citing_arxiv_id":"2605.12656","citing_title":"Optimal Bounds, Barriers, and Extensions for Non-Hermitian Bivariate Quantum Signal Processing","ref_index":44,"is_internal_anchor":false},{"citing_arxiv_id":"2605.12450","citing_title":"Simulation of Non-Hermitian Hamiltonians with Bivariate Quantum Signal Processing","ref_index":34,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/3SVJWGMNB7DRFBL4AM2GKUBMAO","json":"https://pith.science/pith/3SVJWGMNB7DRFBL4AM2GKUBMAO.json","graph_json":"https://pith.science/api/pith-number/3SVJWGMNB7DRFBL4AM2GKUBMAO/graph.json","events_json":"https://pith.science/api/pith-number/3SVJWGMNB7DRFBL4AM2GKUBMAO/events.json","paper":"https://pith.science/paper/3SVJWGMN"},"agent_actions":{"view_html":"https://pith.science/pith/3SVJWGMNB7DRFBL4AM2GKUBMAO","download_json":"https://pith.science/pith/3SVJWGMNB7DRFBL4AM2GKUBMAO.json","view_paper":"https://pith.science/paper/3SVJWGMN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2212.13969&json=true","fetch_graph":"https://pith.science/api/pith-number/3SVJWGMNB7DRFBL4AM2GKUBMAO/graph.json","fetch_events":"https://pith.science/api/pith-number/3SVJWGMNB7DRFBL4AM2GKUBMAO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3SVJWGMNB7DRFBL4AM2GKUBMAO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3SVJWGMNB7DRFBL4AM2GKUBMAO/action/storage_attestation","attest_author":"https://pith.science/pith/3SVJWGMNB7DRFBL4AM2GKUBMAO/action/author_attestation","sign_citation":"https://pith.science/pith/3SVJWGMNB7DRFBL4AM2GKUBMAO/action/citation_signature","submit_replication":"https://pith.science/pith/3SVJWGMNB7DRFBL4AM2GKUBMAO/action/replication_record"}},"created_at":"2026-07-05T10:39:44.722549+00:00","updated_at":"2026-07-05T10:39:44.722549+00:00"}