Symmetry of distribution for the one-dimensional Hadamard walk
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In this paper we study a one-dimensional quantum random walk with the Hadamard transformation which is often called the Hadamard walk. We construct the Hadamard walk using a transition matrix on probability amplitude and give some results on symmetry of probability distributions for the Hadamard walk.
17 pages, revised version, Journal-ref added
17 pages, revised version, Journal-ref added