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On probability polynomials of 1D quantum walk

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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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Authors and Affiliations

  1. Department of Physics, Colorado School of Mines, Golden, CO, 80401, USA

    Mark W. Coffey & Matthew S. Heller

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  1. Mark W. Coffey
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  2. Matthew S. Heller
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Correspondence to Mark W. Coffey.

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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

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