{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:SAKRQNF6XENCUNEN3A6NEII7QT","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":"ff6f009a544e0694826267f134c0574a7e5f1c2b9d002f7c6d1762b76631ea0e","cross_cats_sorted":["cond-mat.quant-gas"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-04-26T19:34:40Z","title_canon_sha256":"429f18e8cc5273acb398897901430cbfc6bb56b4da4649d7b64e04cf8a4af8bc"},"schema_version":"1.0","source":{"id":"1204.6021","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.6021","created_at":"2026-05-18T03:55:11Z"},{"alias_kind":"arxiv_version","alias_value":"1204.6021v1","created_at":"2026-05-18T03:55:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.6021","created_at":"2026-05-18T03:55:11Z"},{"alias_kind":"pith_short_12","alias_value":"SAKRQNF6XENC","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"SAKRQNF6XENCUNEN","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"SAKRQNF6","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:fbc1faf20f2e0f5325686cef33b74ed69b4a0fb969d324400fff3defe80ea012","target":"graph","created_at":"2026-05-18T03:55:11Z","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":"We present a novel scheme for universal quantum computation based on spinless interacting bosonic quantum walkers on a piecewise-constant graph, described by the two-dimensional Bose-Hubbard model. Arbitrary X and Z rotations are constructed, as well as an entangling two-qubit CPHASE gate and a SWAP gate. Quantum information is encoded in the positions of the walkers on the graph, as in previous quantum walk-based proposals for universal quantum computation, though in contrast to prior schemes this proposal requires a number of vertices only linear in the number of encoded qubits. It allows si","authors_text":"David L. Feder, Michael S. Underwood","cross_cats":["cond-mat.quant-gas"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-04-26T19:34:40Z","title":"Bose-Hubbard model for universal quantum walk-based computation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.6021","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":"sha256:9da1246b37266b18845007381e78059ae997be5d6edd31b00b5d0e4351a7cb25","target":"record","created_at":"2026-05-18T03:55:11Z","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":"ff6f009a544e0694826267f134c0574a7e5f1c2b9d002f7c6d1762b76631ea0e","cross_cats_sorted":["cond-mat.quant-gas"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-04-26T19:34:40Z","title_canon_sha256":"429f18e8cc5273acb398897901430cbfc6bb56b4da4649d7b64e04cf8a4af8bc"},"schema_version":"1.0","source":{"id":"1204.6021","kind":"arxiv","version":1}},"canonical_sha256":"90151834beb91a2a348dd83cd2211f84f86c2a1d6e5a55323707e978982ad7d3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"90151834beb91a2a348dd83cd2211f84f86c2a1d6e5a55323707e978982ad7d3","first_computed_at":"2026-05-18T03:55:11.880469Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:55:11.880469Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1WTS9e+Xk6RpyQRxor0shNULcBk/ceL/bp1t9wnIXb6EmDCP6l6bYKakyQhkKTwpky7+0fFiAKFofqgh6bPEBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:55:11.880930Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.6021","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9da1246b37266b18845007381e78059ae997be5d6edd31b00b5d0e4351a7cb25","sha256:fbc1faf20f2e0f5325686cef33b74ed69b4a0fb969d324400fff3defe80ea012"],"state_sha256":"f77a843e3ccb7e33b72b9dbf06dcd3d8690430bc61750e8c3b998060fa725fb2"}