Open quantum random walks and quantum Markov Chains on trees II: the recurrence

Farrukh Mukhamedov; Abdessatar Souissi; Tarek Hamdi; Amenallah Andolsi

doi:10.1007/s11128-023-03980-9

Open quantum random walks and quantum Markov Chains on trees II: the recurrence

Farrukh Mukhamedov, Abdessatar Souissi, Tarek Hamdi, Amenallah Andolsi

Department of Mathematical Sciences

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

5 Citations (Scopus)

Abstract

The present paper is a continuation of earlier appeared work, where we have constructed Quantum Markov Chains (QMC) associated with Open Quantum Random Walks and discussed a phase transition phenomena within the proposed scheme. In the current work, we define the recurrence and accessibility of within QMC over trees. Moreover, the recurrence property of QMC associated with Open Quantum Random Walks is investigated.

Original language	English
Article number	232
Journal	Quantum Information Processing
Volume	22
Issue number	6
DOIs	https://doi.org/10.1007/s11128-023-03980-9
Publication status	Published - Jun 2023

Keywords

Accessibility
Cayley tree
Open quantum random walks
Quantum Markov chain
Recurrence

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Statistical and Nonlinear Physics
Theoretical Computer Science
Signal Processing
Modelling and Simulation
Electrical and Electronic Engineering

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10.1007/s11128-023-03980-9

Cite this

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AU - Andolsi, Amenallah

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AB - The present paper is a continuation of earlier appeared work, where we have constructed Quantum Markov Chains (QMC) associated with Open Quantum Random Walks and discussed a phase transition phenomena within the proposed scheme. In the current work, we define the recurrence and accessibility of within QMC over trees. Moreover, the recurrence property of QMC associated with Open Quantum Random Walks is investigated.

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KW - Quantum Markov chain

KW - Recurrence

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Open quantum random walks and quantum Markov Chains on trees II: the recurrence

Abstract

Keywords

ASJC Scopus subject areas

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