Open Quantum Random Walks and Quantum Markov Chains

A. Dhahri; F. Mukhamedov

doi:10.1134/S0016266319020084

Open Quantum Random Walks and Quantum Markov Chains

A. Dhahri, F. Mukhamedov

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	137-142
Number of pages	6
Journal	Functional Analysis and its Applications
Volume	53
Issue number	2
DOIs	https://doi.org/10.1134/S0016266319020084
Publication status	Published - Apr 1 2019

Keywords

finitely correlated state
open quantum random walk
quantum Markov chain
recurrence

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1134/S0016266319020084

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AB - 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 ℙρ of the walk. This sheds new light on some properties of the measure ℙρ. For example, this measure can be considered as the distribution of some functions of a certain Markov process.

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KW - quantum Markov chain

KW - recurrence

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Open Quantum Random Walks and Quantum Markov Chains

Abstract

Keywords

ASJC Scopus subject areas

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