Quantum walks on simplexes and multiple perfect state transfer

In this paper, we study quantum walks on the extension of association schemes. Various state transfers can be achieved on these graphs, such as multiple state transfer among extreme points of a simplex, fractional revival on subsimplexes. Since only few examples of multiple (perfect) state transfer...

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Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2023-11, Vol.56 (46), p.465201
Main Authors: Miki, Hiroshi, Tsujimoto, Satoshi, Zhao, Da
Format: Article
Language:English
Subjects:
association scheme
extension
perfect state transfer
quantum walk
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Summary:In this paper, we study quantum walks on the extension of association schemes. Various state transfers can be achieved on these graphs, such as multiple state transfer among extreme points of a simplex, fractional revival on subsimplexes. Since only few examples of multiple (perfect) state transfer are known, we aim to make some additions in this collection.
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8121/ad034a