126 citations · 370 across the 18 of their papers we have counts for
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math-ph2019★ 13 cited
Quantum Markov chains: recurrence, Schur functions and splitting rules
F. A. Grünbaum, C. F. Lardizabal, L. Velázquez
In this work we study the recurrence problem for quantum Markov chains, which are quantum versions of classical Markov chains introduced by S. Gudder and described in terms of comp…
math-ph2019★ 16 cited
Quantum walks: Schur functions meet symmetry protected topological phases
C. Cedzich, T. Geib, F. A. Grünbaum +3
This paper uncovers and exploits a link between a central object in harmonic analysis, the so-called Schur functions, and the very hot topic of symmetry protected topological phase…
math-ph2011
The Quantum Walk of F. Riesz
F. A. Grunbaum, L. Velazquez
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 a…