The Quantum Walk of F. Riesz

Details The Quantum Walk of F. Riesz The Quantum Walk of F. Riesz

2011-11-28

arxiv.org/abs/1111.6630v1

Physics

Mathematical Physics

Scientific paper

We exhibit a way to associate a quantum walk (QW) on the non-negative
integers to any probability measure on the unit circle. This forces us to
consider one step transitions that are not traditionally allowed. We illustrate
this in the case of a very interesting measure, originally proposed by F. Riesz
for a different purpose.

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