{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:AGLKBM36OY6EVOCAYKCMI7W52O","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":"b6f8764d6e802879e74f106ba1b4718bf65b4b334864851cce52013e602760f6","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-07-27T16:54:09Z","title_canon_sha256":"e4a5fe6ae026f7904a414d8c8167dbb16805adb0ec8027b38e52ff5d55de55e5"},"schema_version":"1.0","source":{"id":"2607.24658","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.24658","created_at":"2026-07-28T02:24:21Z"},{"alias_kind":"arxiv_version","alias_value":"2607.24658v1","created_at":"2026-07-28T02:24:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.24658","created_at":"2026-07-28T02:24:21Z"},{"alias_kind":"pith_short_12","alias_value":"AGLKBM36OY6E","created_at":"2026-07-28T02:24:21Z"},{"alias_kind":"pith_short_16","alias_value":"AGLKBM36OY6EVOCA","created_at":"2026-07-28T02:24:21Z"},{"alias_kind":"pith_short_8","alias_value":"AGLKBM36","created_at":"2026-07-28T02:24:21Z"}],"graph_snapshots":[{"event_id":"sha256:1402e51a76736cb2b3716967f4d224eb21808353f95418a55ede55651e60b62f","target":"graph","created_at":"2026-07-28T02:24:21Z","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/2607.24658/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Grover's algorithm provides a quadratic speedup for searching unstructured databases and is traditionally implemented with qubits in Hilbert spaces whose dimensions are powers of two. With the advent of quantum platforms utilizing qudits---quantum systems with more than two levels---there is a need to generalize Grover search to these architectures, including heterogeneous systems with qudits of varying dimensions. Here, we present a unified framework for qudit-based Grover search, detailing the construction of oracles and diffusion operators with and without ancilla qubits and generalizing de","authors_text":"Tanay Roy","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-07-27T16:54:09Z","title":"Exact and Fixed-Point Grover Search with Qudits"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.24658","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:e9ecea3835ffd1fc7ca1c051716deef9c834b6fbe13a13e027652d182458bf7f","target":"record","created_at":"2026-07-28T02:24:21Z","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":"b6f8764d6e802879e74f106ba1b4718bf65b4b334864851cce52013e602760f6","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-07-27T16:54:09Z","title_canon_sha256":"e4a5fe6ae026f7904a414d8c8167dbb16805adb0ec8027b38e52ff5d55de55e5"},"schema_version":"1.0","source":{"id":"2607.24658","kind":"arxiv","version":1}},"canonical_sha256":"0196a0b37e763c4ab840c284c47eddd391d0ace40f763f1d232058fa90bd6b97","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0196a0b37e763c4ab840c284c47eddd391d0ace40f763f1d232058fa90bd6b97","first_computed_at":"2026-07-28T02:24:21.177627Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-28T02:24:21.177627Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8uNgpVW1kKVKhWwgfofWSSHKuxEXxA32otv44VEp3TqV29nL1Dom9/pHrCh2NVp6mXqw1gLNvfV/oOuVSiF/Dg==","signature_status":"signed_v1","signed_at":"2026-07-28T02:24:21.178595Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.24658","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e9ecea3835ffd1fc7ca1c051716deef9c834b6fbe13a13e027652d182458bf7f","sha256:1402e51a76736cb2b3716967f4d224eb21808353f95418a55ede55651e60b62f"],"state_sha256":"a79c1aa74c68c88e014a60153d7d07d10cc2f215dcc56560b68b1f233c0149c4"}