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Formally, we say that there exists a {\\it perfect state transfer} (PST) between vertices $a,b\\in V(G)$ if $|F(\\tau)_{ab}|=1$, for some positive real number $\\tau$, where $F(t)=\\exp(\\i At)$. Saxena, Severini and Shparlinski ({\\it International Journal of Quantum Information} 5 (2007), 417--430) proved that $|F(\\tau)_{aa}|=1$ for some $a\\in V(G)"},"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":"1104.1825","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2011-04-11T01:24:53Z","cross_cats_sorted":["cs.IT","math.IT","quant-ph"],"title_canon_sha256":"523af1b79f9474ed2cb0b00a380ac115d5260d113b56b3fb63674959bf22843f","abstract_canon_sha256":"4d8d79c42a7d5d3c1179582a6f868ad91bc6027125b10ebe0cdfab07db4cc520"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:24:36.997556Z","signature_b64":"Vfd9clVRkAOZasjegdYk6JD+jb0GaZjKzoJaIVWb0Yl6iD8Gkx+aOljK1L9v0h4acadQ1RoI6gECec72mPN4DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b9313dfb4e7a05824244ca5a19c41d5ea2e64a213dcdc0feabdb1f16be485ca7","last_reissued_at":"2026-05-18T04:24:36.997188Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:24:36.997188Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Characterization of circulant graphs having perfect state transfer","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT","quant-ph"],"primary_cat":"cs.DM","authors_text":"Milan Ba\\v{s}i\\'c","submitted_at":"2011-04-11T01:24:53Z","abstract_excerpt":"In this paper we answer the question of when circulant quantum spin networks with nearest-neighbor couplings can give perfect state transfer. 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