The Quantum Walk of F. Riesz
  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. 
F. A. Grunbaum, L. Velazquez
math-ph math.MP quant-ph