22 citations · 56 across the 11 of their papers we have counts for
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quant-ph2018★ 11 cited
Some limit laws for quantum walks with applications to a version of the Parrondo paradox
Takuya Machida, F. Alberto Grunbaum
A quantum walker moves on the integers with four extra degrees of freedom, performing a coin-shift operation to alter its internal state and position at discrete units of time. The…
math.PR2018
Stochastic Darboux transformations for quasi-birth-and-death processes and urn models
F. Alberto Grunbaum, Manuel D. de la Iglesia
We consider stochastic UL and LU block factorizations of the one-step transition probability matrix for a discrete-time quasi-birth-and-death process, namely a stochastic block tri…