Abstract
We investigate a set of polynomials arising from one dimensional quantum walk with a single-parameter coin operator. In the process, explicit hypergeometric function expressions for these polynomials are presented. An explicit expression is also given for a limit probability for the special case of Hadamard walk.
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Coffey, M.W., Heller, M.S. On probability polynomials of 1D quantum walk. Quantum Inf Process 10, 271–277 (2011). https://doi.org/10.1007/s11128-010-0194-x
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DOI: https://doi.org/10.1007/s11128-010-0194-x