The Quantum Walk of F. Riesz

F. Alberto Grünbaum, L. Velazquez · arXiv (Cornell University) · 2011

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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