126 citations · 370 across the 18 of their papers we have counts for
18 papers
Occupation time for classical and quantum walks
F. A. Grunbaum, L. Velazquez, J. Wilkening
This is a personal tribute to Lance Littlejohn on the occasion of his 70th birthday. It is meant as a present to him for many years of friendship. It is not written in the "Satz-Be…
A CMV connection between orthogonal polynomials on the unit circle and the real line
M. J. Cantero, F. Marcellán, L. Moral +1
M. Derevyagin, L. Vinet and A. Zhedanov introduced in Constr. Approx. 36 (2012) 513-535 a new connection between orthogonal polynomials on the unit circle and the real line. It map…
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…
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…
Complete homotopy invariants for translation invariant symmetric quantum walks on a chain
C. Cedzich, T. Geib, C. Stahl +3
We provide a classification of translation invariant one-dimensional quantum walks with respect to continuous deformations preserving unitarity, locality, translation invariance, a…
The topological classification of one-dimensional symmetric quantum walks
C. Cedzich, T. Geib, F. A. Grünbaum +4
We give a topological classification of quantum walks on an infinite 1D lattice, which obey one of the discrete symmetry groups of the tenfold way, have a gap around some eigenvalu…