Open Quantum Random Walks and Quantum Markov Chains
Ameur Dhahri, Farrukh Maksutovich Mukhamedov · Functional Analysis and Its Applications · 2019
In the present paper we construct quantum Markov chains associated with open quantum random walks in the sense that the transition operator of a chain is determined by an open quantum random walk and the restriction of the chain to the commutative subalgebra coincides with the distribution ℙ ρ of the walk. This sheds new light on some properties of the measure ℙ ρ . For example, this measure can be considered as the distribution of some functions of a certain Markov process.