{ "id": "2405.02122", "version": "v1", "published": "2024-05-03T14:24:51.000Z", "updated": "2024-05-03T14:24:51.000Z", "title": "Perfect state transfer on Cayley graphs over a group of order 8n", "authors": [ "Akash Kalita", "Bikash Bhattacharjya" ], "categories": [ "quant-ph", "math.CO" ], "abstract": "Perfect state transfer has great importance due to its applications in quantum information processing, quantum communication networks and cryptography. In this paper, we study the existence of perfect state transfer on Cayley graphs over the group V8n. we present some necessary and sufficient conditions for the existence of perfect state transfer on Cay(V8n; S).", "revisions": [ { "version": "v1", "updated": "2024-05-03T14:24:51.000Z" } ], "analyses": { "subjects": [ "05C25", "81P45", "81Q35" ], "keywords": [ "perfect state transfer", "cayley graphs", "order 8n", "quantum communication networks", "great importance" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }