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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-ph2014★ 38 cited
On a class of quantum channels, open random walks and recurrence
Carlos F. Lardizabal, Rafael R. Souza
We study a particular class of trace-preserving completely positive maps, called PQ-channels, for which classical and quantum evolutions are isolated in a certain sense. By combini…