{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:AZ54BORAZVTAYNGZN365AQAWKT","short_pith_number":"pith:AZ54BORA","schema_version":"1.0","canonical_sha256":"067bc0ba20cd660c34d96efdd0401654f63f071acf57929abd25036b5bf5fcdf","source":{"kind":"arxiv","id":"2406.01118","version":1},"attestation_state":"computed","paper":{"title":"Carleman-Grad approach to the quantum simulation of fluids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.flu-dyn"],"primary_cat":"quant-ph","authors_text":"Claudio Sanavio, Enea Mauri, Sauro Succi","submitted_at":"2024-06-03T08:58:40Z","abstract_excerpt":"We discuss the Carleman linearization approach to the quantum simulation of classical fluids based on Grad's generalized hydrodynamics and compare it to previous investigations based on lattice Boltzmann and Navier-Stokes formulations. We show that the Carleman-Grad procedure exhibits intermediate properties between the two. Namely, convergence of the Carleman iteration over a few tens of timesteps and a potentially viable quantum circuit implementation using quantum linear algebra solvers. However, both features still need substantial improvements to yield a viable quantum algorithm for fluid"},"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":"2406.01118","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-06-03T08:58:40Z","cross_cats_sorted":["physics.flu-dyn"],"title_canon_sha256":"5571119105d576930e04faf7d8d4ccb3d27cbfa82e57f3896d94db84c0589e23","abstract_canon_sha256":"da5a3cc5b514e2fa528a99e479bc7c639e286253669402e67b5b05c83935f088"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:26:35.443878Z","signature_b64":"oZCt2iT9u8c8pPFJck1BN8Y3P9jIQziouCr3jtPVFqf5YNEyxvj0CCIyNApL617AYLX+uxi7/pvlaQHvKoZnDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"067bc0ba20cd660c34d96efdd0401654f63f071acf57929abd25036b5bf5fcdf","last_reissued_at":"2026-07-05T08:26:35.443489Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:26:35.443489Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Carleman-Grad approach to the quantum simulation of fluids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.flu-dyn"],"primary_cat":"quant-ph","authors_text":"Claudio Sanavio, Enea Mauri, Sauro Succi","submitted_at":"2024-06-03T08:58:40Z","abstract_excerpt":"We discuss the Carleman linearization approach to the quantum simulation of classical fluids based on Grad's generalized hydrodynamics and compare it to previous investigations based on lattice Boltzmann and Navier-Stokes formulations. We show that the Carleman-Grad procedure exhibits intermediate properties between the two. Namely, convergence of the Carleman iteration over a few tens of timesteps and a potentially viable quantum circuit implementation using quantum linear algebra solvers. However, both features still need substantial improvements to yield a viable quantum algorithm for fluid"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.01118","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/2406.01118/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":"2406.01118","created_at":"2026-07-05T08:26:35.443544+00:00"},{"alias_kind":"arxiv_version","alias_value":"2406.01118v1","created_at":"2026-07-05T08:26:35.443544+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.01118","created_at":"2026-07-05T08:26:35.443544+00:00"},{"alias_kind":"pith_short_12","alias_value":"AZ54BORAZVTA","created_at":"2026-07-05T08:26:35.443544+00:00"},{"alias_kind":"pith_short_16","alias_value":"AZ54BORAZVTAYNGZ","created_at":"2026-07-05T08:26:35.443544+00:00"},{"alias_kind":"pith_short_8","alias_value":"AZ54BORA","created_at":"2026-07-05T08:26:35.443544+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.15366","citing_title":"Measurement-Efficient Variational Quantum Linear Solver for Carleman-Linearized Nonlinear Dynamics","ref_index":55,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/AZ54BORAZVTAYNGZN365AQAWKT","json":"https://pith.science/pith/AZ54BORAZVTAYNGZN365AQAWKT.json","graph_json":"https://pith.science/api/pith-number/AZ54BORAZVTAYNGZN365AQAWKT/graph.json","events_json":"https://pith.science/api/pith-number/AZ54BORAZVTAYNGZN365AQAWKT/events.json","paper":"https://pith.science/paper/AZ54BORA"},"agent_actions":{"view_html":"https://pith.science/pith/AZ54BORAZVTAYNGZN365AQAWKT","download_json":"https://pith.science/pith/AZ54BORAZVTAYNGZN365AQAWKT.json","view_paper":"https://pith.science/paper/AZ54BORA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2406.01118&json=true","fetch_graph":"https://pith.science/api/pith-number/AZ54BORAZVTAYNGZN365AQAWKT/graph.json","fetch_events":"https://pith.science/api/pith-number/AZ54BORAZVTAYNGZN365AQAWKT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AZ54BORAZVTAYNGZN365AQAWKT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AZ54BORAZVTAYNGZN365AQAWKT/action/storage_attestation","attest_author":"https://pith.science/pith/AZ54BORAZVTAYNGZN365AQAWKT/action/author_attestation","sign_citation":"https://pith.science/pith/AZ54BORAZVTAYNGZN365AQAWKT/action/citation_signature","submit_replication":"https://pith.science/pith/AZ54BORAZVTAYNGZN365AQAWKT/action/replication_record"}},"created_at":"2026-07-05T08:26:35.443544+00:00","updated_at":"2026-07-05T08:26:35.443544+00:00"}