Symmetry of distribution for the one-dimensional Hadamard walk

Details Symmetry of distribution for the one-dimensional Hadamard walk Symmetry of distribution for the one-dimensional Hadamard walk

2002-05-13

arxiv.org/abs/quant-ph/0205065v4

Interdisciplinary Information Sciences, Vol.10, No.1, pp.11-22 (2004)

Physics

Quantum Physics

17 pages, revised version, Journal-ref added

Scientific paper

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.

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