{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:MN5SYEUZ3GSYFD25UJM3EGFZDE","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":"ff9b4186fb25c0bc30882673c0d28d6fd39884a7ec89781366f28c0be248b1ca","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-03-31T08:23:13Z","title_canon_sha256":"d47a85105f74a23bbf09ea13bdc7786a9e2a8ed8e5c9fc2676aee72450fe80dc"},"schema_version":"1.0","source":{"id":"1703.10788","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.10788","created_at":"2026-05-18T00:23:45Z"},{"alias_kind":"arxiv_version","alias_value":"1703.10788v4","created_at":"2026-05-18T00:23:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.10788","created_at":"2026-05-18T00:23:45Z"},{"alias_kind":"pith_short_12","alias_value":"MN5SYEUZ3GSY","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MN5SYEUZ3GSYFD25","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MN5SYEUZ","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:c71cabc00d9107a1b766454bdcf9b2071e728381d47f271b6a1c51e7022d5b55","target":"graph","created_at":"2026-05-18T00:23:45Z","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"},"paper":{"abstract_excerpt":"A method for synthesizing quantum gates is presented based on interpolation methods applied to operators in Hilbert space. Starting from the diagonal forms of specific generating seed operators with non-degenerate eigenvalue spectrum one obtains for arity-one a complete family of logical operators corresponding to all the one-argument logical connectives. Scaling-up to n-arity gates is obtained by using the Kronecker product and unitary transformations. The quantum version of the Fourier transform of Boolean functions is presented and a Reed-Muller decomposition for quantum logical gates is de","authors_text":"Fran\\c{c}ois Dubois, Zeno Toffano","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-03-31T08:23:13Z","title":"Interpolation Methods for Binary and Multivalued Logical Quantum Gate Synthesis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.10788","kind":"arxiv","version":4},"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":"sha256:72c4fcbcf9b704a9ba6a32f8e6221e67aab013eefb4479504334c5d21347fe58","target":"record","created_at":"2026-05-18T00:23:45Z","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":"ff9b4186fb25c0bc30882673c0d28d6fd39884a7ec89781366f28c0be248b1ca","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-03-31T08:23:13Z","title_canon_sha256":"d47a85105f74a23bbf09ea13bdc7786a9e2a8ed8e5c9fc2676aee72450fe80dc"},"schema_version":"1.0","source":{"id":"1703.10788","kind":"arxiv","version":4}},"canonical_sha256":"637b2c1299d9a5828f5da259b218b91909c4ba16261dd8c5b621d188f427b0b3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"637b2c1299d9a5828f5da259b218b91909c4ba16261dd8c5b621d188f427b0b3","first_computed_at":"2026-05-18T00:23:45.810918Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:23:45.810918Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2bP3c7OXSN3w+RlUtH9grugiGiiNhFUPUrEENAI3CbppmA//nTdnVPmUc65X2vtD5Y+OvdYKNcjyK997jh9+Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:23:45.811346Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.10788","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:72c4fcbcf9b704a9ba6a32f8e6221e67aab013eefb4479504334c5d21347fe58","sha256:c71cabc00d9107a1b766454bdcf9b2071e728381d47f271b6a1c51e7022d5b55"],"state_sha256":"f3e69b0f3d9209864ec7e57b32127c2f450c2a4630a3dbb8728ffaec3db974a4"}