{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:ZHPWZKBAK5UEMRKAXDLNZKSXIH","short_pith_number":"pith:ZHPWZKBA","schema_version":"1.0","canonical_sha256":"c9df6ca8205768464540b8d6dcaa5741d73e717b93ec4353c5f27082017fe33a","source":{"kind":"arxiv","id":"1111.7065","version":1},"attestation_state":"computed","paper":{"title":"Enhancing the spreading of quantum walks on star graphs by additional bonds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"quant-ph","authors_text":"Alexander Blumen, Anastasiia Anishchenko, Oliver Muelken","submitted_at":"2011-11-30T06:57:35Z","abstract_excerpt":"We study the dynamics of continuous-time quantum walks (CTQW) on networks with highly degenerate eigenvalue spectra of the corresponding connectivity matrices. In particular, we consider the two cases of a star graph and of a complete graph, both having one highly degenerate eigenvalue, while displaying different topologies. While the CTQW spreading over the network - in terms of the average probability to return or to stay at an initially excited node - is in both cases very slow, also when compared to the corresponding classical continuous-time random walk (CTRW), we show how the spreading i"},"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":"1111.7065","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-11-30T06:57:35Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"e7a0c3474790fdb6ab0ab1a6cbb7d4adff961cf434236e108bc8eb28e078883c","abstract_canon_sha256":"208fb8560829f56b32c18aef3198aaf82b13517b9e54452072c972653ab1fed7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:45:23.140290Z","signature_b64":"1k811F4hyZ4/taBdpnxW9xFKGk3uIwbPACkKwobaDPGsGNb791lrN3jjDCpPA07y5bLoc07y+6xm4VqyZoO2Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c9df6ca8205768464540b8d6dcaa5741d73e717b93ec4353c5f27082017fe33a","last_reissued_at":"2026-05-18T03:45:23.139827Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:45:23.139827Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Enhancing the spreading of quantum walks on star graphs by additional bonds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"quant-ph","authors_text":"Alexander Blumen, Anastasiia Anishchenko, Oliver Muelken","submitted_at":"2011-11-30T06:57:35Z","abstract_excerpt":"We study the dynamics of continuous-time quantum walks (CTQW) on networks with highly degenerate eigenvalue spectra of the corresponding connectivity matrices. In particular, we consider the two cases of a star graph and of a complete graph, both having one highly degenerate eigenvalue, while displaying different topologies. While the CTQW spreading over the network - in terms of the average probability to return or to stay at an initially excited node - is in both cases very slow, also when compared to the corresponding classical continuous-time random walk (CTRW), we show how the spreading i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.7065","kind":"arxiv","version":1},"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":"1111.7065","created_at":"2026-05-18T03:45:23.139907+00:00"},{"alias_kind":"arxiv_version","alias_value":"1111.7065v1","created_at":"2026-05-18T03:45:23.139907+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.7065","created_at":"2026-05-18T03:45:23.139907+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZHPWZKBAK5UE","created_at":"2026-05-18T12:26:47.523578+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZHPWZKBAK5UEMRKA","created_at":"2026-05-18T12:26:47.523578+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZHPWZKBA","created_at":"2026-05-18T12:26:47.523578+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/ZHPWZKBAK5UEMRKAXDLNZKSXIH","json":"https://pith.science/pith/ZHPWZKBAK5UEMRKAXDLNZKSXIH.json","graph_json":"https://pith.science/api/pith-number/ZHPWZKBAK5UEMRKAXDLNZKSXIH/graph.json","events_json":"https://pith.science/api/pith-number/ZHPWZKBAK5UEMRKAXDLNZKSXIH/events.json","paper":"https://pith.science/paper/ZHPWZKBA"},"agent_actions":{"view_html":"https://pith.science/pith/ZHPWZKBAK5UEMRKAXDLNZKSXIH","download_json":"https://pith.science/pith/ZHPWZKBAK5UEMRKAXDLNZKSXIH.json","view_paper":"https://pith.science/paper/ZHPWZKBA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1111.7065&json=true","fetch_graph":"https://pith.science/api/pith-number/ZHPWZKBAK5UEMRKAXDLNZKSXIH/graph.json","fetch_events":"https://pith.science/api/pith-number/ZHPWZKBAK5UEMRKAXDLNZKSXIH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZHPWZKBAK5UEMRKAXDLNZKSXIH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZHPWZKBAK5UEMRKAXDLNZKSXIH/action/storage_attestation","attest_author":"https://pith.science/pith/ZHPWZKBAK5UEMRKAXDLNZKSXIH/action/author_attestation","sign_citation":"https://pith.science/pith/ZHPWZKBAK5UEMRKAXDLNZKSXIH/action/citation_signature","submit_replication":"https://pith.science/pith/ZHPWZKBAK5UEMRKAXDLNZKSXIH/action/replication_record"}},"created_at":"2026-05-18T03:45:23.139907+00:00","updated_at":"2026-05-18T03:45:23.139907+00:00"}