{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:QFPUBPL4MRVA3EOK7R5CAR47DL","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":"25cb6cf92b9308359dd12800e024e630e45e5ce5e655f45bfd5834c571322fce","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-11-06T01:42:14Z","title_canon_sha256":"dc1b37e6e0822c52ba9c913423c4b9cae6644667a4570d95d88e6fb7b8dae869"},"schema_version":"1.0","source":{"id":"1811.02116","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.02116","created_at":"2026-05-18T00:01:25Z"},{"alias_kind":"arxiv_version","alias_value":"1811.02116v1","created_at":"2026-05-18T00:01:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.02116","created_at":"2026-05-18T00:01:25Z"},{"alias_kind":"pith_short_12","alias_value":"QFPUBPL4MRVA","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QFPUBPL4MRVA3EOK","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QFPUBPL4","created_at":"2026-05-18T12:32:46Z"}],"graph_snapshots":[{"event_id":"sha256:db5b204a3b8206cd9edfd11a283b6be9dfbc0331b3e563b4abf5375d1fd0a063","target":"graph","created_at":"2026-05-18T00:01:25Z","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":"Staggered quantum walks on graphs are based on the concept of graph tessellation and generalize some well-known discrete-time quantum walk models. In this work, we address the class of 2-tessellable quantum walks with the goal of obtaining an eigenbasis of the evolution operator. By interpreting the evolution operator as a quantum Markov chain on an underlying multigraph, we define the concept of quantum detailed balance, which helps to obtain the eigenbasis. A subset of the eigenvectors is obtained from the eigenvectors of the double discriminant matrix of the quantum Markov chain. To obtain ","authors_text":"Etsuo Segawa, Iwao Sato, Renato Portugal, Yusuke Higuchi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-11-06T01:42:14Z","title":"Eigenbasis of the Evolution Operator of 2-Tessellable Quantum Walks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.02116","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":"sha256:080a5243b89452f6ec3251c023b417f42e0a9e47d8c1f9eb6b3aacad6c85de48","target":"record","created_at":"2026-05-18T00:01:25Z","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":"25cb6cf92b9308359dd12800e024e630e45e5ce5e655f45bfd5834c571322fce","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-11-06T01:42:14Z","title_canon_sha256":"dc1b37e6e0822c52ba9c913423c4b9cae6644667a4570d95d88e6fb7b8dae869"},"schema_version":"1.0","source":{"id":"1811.02116","kind":"arxiv","version":1}},"canonical_sha256":"815f40bd7c646a0d91cafc7a20479f1af04d9dc136b700e4d6eade58d4cda602","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"815f40bd7c646a0d91cafc7a20479f1af04d9dc136b700e4d6eade58d4cda602","first_computed_at":"2026-05-18T00:01:25.015856Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:01:25.015856Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uIR/CrblULaCXP6WGifLsAW0baBx1OFwDeJVB2957KE1GSyb2Qz8JyPC2tHgpBlDXyblS0sZ+LM1iwZjBKRwBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:01:25.016225Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.02116","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:080a5243b89452f6ec3251c023b417f42e0a9e47d8c1f9eb6b3aacad6c85de48","sha256:db5b204a3b8206cd9edfd11a283b6be9dfbc0331b3e563b4abf5375d1fd0a063"],"state_sha256":"d2d3344bfa04ed57059d276b9e237c400349d7490000c1a0448fde20e6142400"}