Journal of Stochastic Analysis

Quantum Markov Chains Associated with Unitary Quantum Walks

Chul Ki Ko, Hyun Jae Yoo

Published Nov 6, 2020• 4 citations

Abstract

In this paper we discuss the quantum Markov chains of unitary quantum walks.The construction of the quantum Markov chain associated with a unitary quantum walk serves as a good example in the view point of quantum Markov chains.On the other hand, the method of quantum Markov chain provides a tool for the investigation of dynamical properties of the unitary quantum walks.We discuss the reducibility/irreducibility and the recurrence/transience properties.Comparing with the results known in other literature and in classical random walks, we will see some similarity as well as some differences.

DOI: 10.31390/josa.1.4.04

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