Classical and quantum walks on paths associated with exceptional Krawtchouk polynomials

Classical and quantum walks on some finite paths are introduced. It is shown that these walks have explicit solutions given in terms of exceptional Krawtchouk polynomials, and their properties are explored. In particular, fractional revival is shown to take place in the corresponding quantum walks.

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Bibliographic Details
Published in:Journal of mathematical physics 2022-10, Vol.63 (10)
Main Authors: Miki, Hiroshi, Tsujimoto, Satoshi, Vinet, Luc
Format: Article
Language:English
Subjects:
Physics
Polynomials
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Summary:Classical and quantum walks on some finite paths are introduced. It is shown that these walks have explicit solutions given in terms of exceptional Krawtchouk polynomials, and their properties are explored. In particular, fractional revival is shown to take place in the corresponding quantum walks.
ISSN:0022-2488
1089-7658
DOI:10.1063/5.0084854