Classical and quantum walks on paths associated with exceptional Krawtchouk polynomials
Mathematical Physics
2022-10-19 v1 math.MP
Quantum Physics
Abstract
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.
Cite
@article{arxiv.2201.02337,
title = {Classical and quantum walks on paths associated with exceptional Krawtchouk polynomials},
author = {Hiroshi Miki and Satoshi Tsujimoto and Luc Vinet},
journal= {arXiv preprint arXiv:2201.02337},
year = {2022}
}
Comments
22 pages, 4 figures