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Hadamard Rigidity of Positive Sojourn Time Distributions for Rotation Coins

Tamura, Shunya et al.
arXiv (All) · Papers
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05a15combinatoricsquantum-physics
We study the distribution of the positive sojourn time for a one-dimensional two state quantum walk, conditioned on return to the origin. Konno showed that, for the Hadamard walk, this conditional distribution is exactly uniform at times divisible by $4$. In this paper, we investigate whether this f
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