{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:5T5EMVEC5WL3HQOIF2UJOTJYBP","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"83d5fd34e24ebc69f9321178c874bc4405cd5b6939b326c5ee4865471d8e8398","cross_cats_sorted":["physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-01-05T15:32:14Z","title_canon_sha256":"a6ad79a7a9756075e71e3467c26c9c8c9c56c01ff62aef4f1cdb57235c8b8fc3"},"schema_version":"1.0","source":{"id":"2501.02582","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.02582","created_at":"2026-07-05T11:08:39Z"},{"alias_kind":"arxiv_version","alias_value":"2501.02582v1","created_at":"2026-07-05T11:08:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.02582","created_at":"2026-07-05T11:08:39Z"},{"alias_kind":"pith_short_12","alias_value":"5T5EMVEC5WL3","created_at":"2026-07-05T11:08:39Z"},{"alias_kind":"pith_short_16","alias_value":"5T5EMVEC5WL3HQOI","created_at":"2026-07-05T11:08:39Z"},{"alias_kind":"pith_short_8","alias_value":"5T5EMVEC","created_at":"2026-07-05T11:08:39Z"}],"graph_snapshots":[{"event_id":"sha256:4f8258696e403153fa925f211b1ef518404f848d45da22b47c133dcf895e7d96","target":"graph","created_at":"2026-07-05T11:08:39Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2501.02582/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We apply Carleman linearization of the Lattice Boltzmann (CLB) representation of fluid flows to quantum emulate the dynamics of a 2D Kolmogorov-like flow. We assess the accuracy of the result and find a relative error of the order of $10^{-3}$ with just two Carleman iterates, for a range of the Reynolds number up to a few hundreds. We first define a gate-based quantum circuit for the implementation of the CLB method and then exploit the sparse nature of the CLB matrix to build a quantum circuit based on block-encoding techniques which makes use of matrix oracles. It is shown that the gate comp","authors_text":"Alexis Ralli, Claudio Sanavio, Peter Love, Sauro Succi, William A. Simon","cross_cats":["physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-01-05T15:32:14Z","title":"Carleman-lattice-Boltzmann quantum circuit with matrix access oracles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.02582","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:28de4f7d242bdc81381f623db633737d3eab2200a7fa1d2e42dc32cb60d018f6","target":"record","created_at":"2026-07-05T11:08:39Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"83d5fd34e24ebc69f9321178c874bc4405cd5b6939b326c5ee4865471d8e8398","cross_cats_sorted":["physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-01-05T15:32:14Z","title_canon_sha256":"a6ad79a7a9756075e71e3467c26c9c8c9c56c01ff62aef4f1cdb57235c8b8fc3"},"schema_version":"1.0","source":{"id":"2501.02582","kind":"arxiv","version":1}},"canonical_sha256":"ecfa465482ed97b3c1c82ea8974d380bf2149957cab39dd3b6812f38614af82e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ecfa465482ed97b3c1c82ea8974d380bf2149957cab39dd3b6812f38614af82e","first_computed_at":"2026-07-05T11:08:39.726957Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:08:39.726957Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pg1+uZBRIYZq/DjHqDBz2ShZCpcwNtSee+9a/pLE6QrN4Sn3iU9v0BNYuXV+IvrY6+bhY0K54uCtXDSOxLH2AQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:08:39.727442Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.02582","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:28de4f7d242bdc81381f623db633737d3eab2200a7fa1d2e42dc32cb60d018f6","sha256:4f8258696e403153fa925f211b1ef518404f848d45da22b47c133dcf895e7d96"],"state_sha256":"92b0a08f401f6e21bce8121e922a1768fa88cb642089166528c2a49b31249ddb"}