{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:OMVJZFGO7SBZVOP25WL3ADLS2W","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":"b3604bf2d269cd253348a7a57d57784a2913097416a077918afd841fca065d4c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-05-18T18:05:08Z","title_canon_sha256":"0472027d7cb671d96e194452f477482a3d4992c103fa6a76aad5250aeb6b76dc"},"schema_version":"1.0","source":{"id":"2605.18985","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.18985","created_at":"2026-05-20T00:06:41Z"},{"alias_kind":"arxiv_version","alias_value":"2605.18985v1","created_at":"2026-05-20T00:06:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.18985","created_at":"2026-05-20T00:06:41Z"},{"alias_kind":"pith_short_12","alias_value":"OMVJZFGO7SBZ","created_at":"2026-05-20T00:06:41Z"},{"alias_kind":"pith_short_16","alias_value":"OMVJZFGO7SBZVOP2","created_at":"2026-05-20T00:06:41Z"},{"alias_kind":"pith_short_8","alias_value":"OMVJZFGO","created_at":"2026-05-20T00:06:41Z"}],"graph_snapshots":[{"event_id":"sha256:c2dfec1a9f3303bddff2f8942568bc25acbafcb6094b0711b8f216bb88af57aa","target":"graph","created_at":"2026-05-20T00:06:41Z","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/2605.18985/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate ancilla-free linear combination of unitaries (LCU) as a framework for approximating complex quantum circuits. This is particularly effective for quantum optimization algorithms, where candidate solutions can be evaluated classically and the task is to sample high-quality bitstrings rather than reproduce the full output distribution. We show that Fourier-based LCU constructions efficiently decompose broad classes of diagonal and non-diagonal unitaries, replacing highly connected qubit interactions with single-qubit gate layers or significantly simpler structures at the cost of a ","authors_text":"Almudena Carrera Vazquez, Daniel J. Egger, Stefan Woerner","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-05-18T18:05:08Z","title":"Efficient Fourier-Based Linear Combination of Unitaries and Applications in Quantum Optimization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.18985","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":"sha256:0889a7061433a12bfa43321b8ca5c265e2c0b77483564bc46e171c461ec2ee43","target":"record","created_at":"2026-05-20T00:06:41Z","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":"b3604bf2d269cd253348a7a57d57784a2913097416a077918afd841fca065d4c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-05-18T18:05:08Z","title_canon_sha256":"0472027d7cb671d96e194452f477482a3d4992c103fa6a76aad5250aeb6b76dc"},"schema_version":"1.0","source":{"id":"2605.18985","kind":"arxiv","version":1}},"canonical_sha256":"732a9c94cefc839ab9faed97b00d72d58544b0e2b3aca43e7b2da5291b7a9c4a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"732a9c94cefc839ab9faed97b00d72d58544b0e2b3aca43e7b2da5291b7a9c4a","first_computed_at":"2026-05-20T00:06:41.225926Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:06:41.225926Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Yx3SQ/xq/sHipyq5xWYOI2XfuA8P/9Azy/nCehoHaYdqP7D3S0IXJM2AcInmeKQBS311a9OLY75etLncQoSMCQ==","signature_status":"signed_v1","signed_at":"2026-05-20T00:06:41.226791Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.18985","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0889a7061433a12bfa43321b8ca5c265e2c0b77483564bc46e171c461ec2ee43","sha256:c2dfec1a9f3303bddff2f8942568bc25acbafcb6094b0711b8f216bb88af57aa"],"state_sha256":"e05b3a3e18078acec9a4df4c8ca5b1c11de2b0ff2e743360fd07cefe0bf8b9c4"}