137 citations · 408 across the 17 of their papers we have counts for
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math-ph2015★ 18 cited
Open quantum random walks: ergodicity, hitting times, gambler's ruin and potential theory
Carlos F. Lardizabal, Rafael R. Souza
In this work we study certain aspects of Open Quantum Random Walks (OQRWs), a class of quantum channels described by S. Attal et al. \cite{attal}. As a first objective we consider…
math.DS2015
An Ergodic Theorem on Ergodic Transport
Joana Mohr, Rafael Rigão Souza
Here we present an ergodic theorem which adapts a Theorem by J. Elton to the classical thermodynamical formalism and to ergodic transport. First, we discuss how Elton's theorem can…
quant-ph2015★ 1 cited
Nonhomogeneous quantum Markov chains and a notion of ergodicity
Carlos F. Lardizabal, Rafael R. Souza
Motivated by a model presented by S. Gudder, we study a quantum generalization of Markov chains and discuss the relation between these maps and open quantum random walks, a class o…