The structure of uniformly continuous quantum Markov semigroups with atomic decoherence-
free subalgebra is established providing a natural decomposition of a Markovian open …

In the present paper, we construct QMCs (Quantum Markov Chains) associated with Open
Quantum Random Walks such that the transition operator of the chain is defined by OQRW …

We show that quantum trajectories become exponentially fast supported by one of their
minimal invariant subspaces. The exponential convergence is established in expectation by …

Classification and decomposition of Quantum Markov Semigroups Page 1 Digital Object
Identifier (DOI) 10.1007/s00440-005-0450-7 Probab. Theory Relat. Fields 134, 603–623 (2006) …

We consider an open quantum walk on a graph, and the random variables defined as the
passage time and number of visits at a given point of the graph. We study in particular the …

The classical probability theory initiated by Kolmogorov and its quantum counterpart,
pioneered by von Neumann, were created at about the same time in the 1930s, but …

The paper is devoted to the study of nonlinear stochastic Schrödinger equations driven by
standard cylindrical Brownian motions (NSSEs) arising from the unraveling of quantum …

In this work we study certain aspects of open quantum random walks (OQRWs), a class of
quantum channels described by Attal et al.(J Stat Phys 147: 832–852, 2012). As a first …

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 …

Quantum Decoherence consists in the appearance of classical dynamics in the evolution of
a quantum system. This paper focuses on the probabilistic interpretation of this …