Classical and quantum walks on paths associated with exceptional Krawtchouk polynomials
Classical and quantum walks on paths associated with exceptional Krawtchouk polynomials
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DOI：
10.1063/5.0084854
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发表时间：
2022-01
影响因子：
1.3
通讯作者：
H. Miki;S. Tsujimoto;L. Vinet
中科院分区：
文献类型：
--
作者：
H. Miki;S. Tsujimoto;L. Vinet
介绍了有限路径上的经典和量子游动。结果表明，这些行走有明确的解决方案，在特殊的Krawtchouk多项式，并探讨其性质。特别是，分数复苏示出发生在相应的量子行走。
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.