{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:MPYIRICYNC4HMXWSMSOXPYOFQ6","short_pith_number":"pith:MPYIRICY","schema_version":"1.0","canonical_sha256":"63f088a05868b8765ed2649d77e1c5879137b213634101d89242f11a1e9c0379","source":{"kind":"arxiv","id":"1501.07543","version":2},"attestation_state":"computed","paper":{"title":"Quantum walks and quantum search on graphene lattices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Gregor Tanner, Iain Foulger, Sven Gnutzmann","submitted_at":"2015-01-29T18:59:54Z","abstract_excerpt":"Quantum walks have been very successful in the development of search algorithms in quantum information, in particular in the development of spatial search algorithms. However, the construction of continuous-time quantum search algorithms in two-dimensional lattices has proved difficult, requiring additional degrees of freedom. Here, we demonstrate that continuous-time quantum walk search is possible in two-dimensions by changing the search topology to a graphene lattice, utilising the Dirac point in the energy spectrum. This is made possible by making a change to standard methods of marking a "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1501.07543","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-01-29T18:59:54Z","cross_cats_sorted":[],"title_canon_sha256":"52a0d3a7a4e097e4d6d10143534dbf29993e733cd08677333e8869309a44cbf3","abstract_canon_sha256":"674283415cc2e59a3a8e6d080e587154ed3e8dbc1ecdba533b8d33dc08900e37"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:37:29.825107Z","signature_b64":"JJ6gLi5d9U7YNVQqFTVVpv8SYI/g8a2/NgRoqrwqnnlLQcHI9t0XAzPt2V34omehSoakhqKpjYb+Dw+uOVHKDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"63f088a05868b8765ed2649d77e1c5879137b213634101d89242f11a1e9c0379","last_reissued_at":"2026-05-18T01:37:29.824360Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:37:29.824360Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum walks and quantum search on graphene lattices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Gregor Tanner, Iain Foulger, Sven Gnutzmann","submitted_at":"2015-01-29T18:59:54Z","abstract_excerpt":"Quantum walks have been very successful in the development of search algorithms in quantum information, in particular in the development of spatial search algorithms. However, the construction of continuous-time quantum search algorithms in two-dimensional lattices has proved difficult, requiring additional degrees of freedom. Here, we demonstrate that continuous-time quantum walk search is possible in two-dimensions by changing the search topology to a graphene lattice, utilising the Dirac point in the energy spectrum. This is made possible by making a change to standard methods of marking a "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.07543","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1501.07543","created_at":"2026-05-18T01:37:29.824500+00:00"},{"alias_kind":"arxiv_version","alias_value":"1501.07543v2","created_at":"2026-05-18T01:37:29.824500+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.07543","created_at":"2026-05-18T01:37:29.824500+00:00"},{"alias_kind":"pith_short_12","alias_value":"MPYIRICYNC4H","created_at":"2026-05-18T12:29:32.376354+00:00"},{"alias_kind":"pith_short_16","alias_value":"MPYIRICYNC4HMXWS","created_at":"2026-05-18T12:29:32.376354+00:00"},{"alias_kind":"pith_short_8","alias_value":"MPYIRICY","created_at":"2026-05-18T12:29:32.376354+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MPYIRICYNC4HMXWSMSOXPYOFQ6","json":"https://pith.science/pith/MPYIRICYNC4HMXWSMSOXPYOFQ6.json","graph_json":"https://pith.science/api/pith-number/MPYIRICYNC4HMXWSMSOXPYOFQ6/graph.json","events_json":"https://pith.science/api/pith-number/MPYIRICYNC4HMXWSMSOXPYOFQ6/events.json","paper":"https://pith.science/paper/MPYIRICY"},"agent_actions":{"view_html":"https://pith.science/pith/MPYIRICYNC4HMXWSMSOXPYOFQ6","download_json":"https://pith.science/pith/MPYIRICYNC4HMXWSMSOXPYOFQ6.json","view_paper":"https://pith.science/paper/MPYIRICY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1501.07543&json=true","fetch_graph":"https://pith.science/api/pith-number/MPYIRICYNC4HMXWSMSOXPYOFQ6/graph.json","fetch_events":"https://pith.science/api/pith-number/MPYIRICYNC4HMXWSMSOXPYOFQ6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MPYIRICYNC4HMXWSMSOXPYOFQ6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MPYIRICYNC4HMXWSMSOXPYOFQ6/action/storage_attestation","attest_author":"https://pith.science/pith/MPYIRICYNC4HMXWSMSOXPYOFQ6/action/author_attestation","sign_citation":"https://pith.science/pith/MPYIRICYNC4HMXWSMSOXPYOFQ6/action/citation_signature","submit_replication":"https://pith.science/pith/MPYIRICYNC4HMXWSMSOXPYOFQ6/action/replication_record"}},"created_at":"2026-05-18T01:37:29.824500+00:00","updated_at":"2026-05-18T01:37:29.824500+00:00"}