Entropy analysis of the discrete-time quantum walk under bit-flip noise channel

Ishak, Nur Izzati and Muniandy, Sithi Vinayakam. and Chong, Wu Yi (2021) Entropy analysis of the discrete-time quantum walk under bit-flip noise channel. Physica A-Statistical Mechanics And Its Applications, 584. ISSN 0378-4371, DOI https://doi.org/10.1016/j.physa.2021.126371.

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We study the behavior of tunable one-dimensional discrete-time quantum walk (DTQW) in the presence of decoherence modeled by the flip-bit noise channel. By varying the noise intensity, we obtain a wide range of probability distributions of noisy walks, which can be loosely characterized as pure quantum walk, quantum-like walk, semiclassical like walk, and classical-like walk. We show the maximum Shannon entropy of the walk is not obtained under maximum decoherence, but instead at a lower degree of decoherence. This result may be useful for the implementation of quantum error correction, quantum cryptography, and quantum communication protocol, where one might expect the qubit internal state to be flipped due to noise. (C) 2021 Elsevier B.V. All rights reserved.

Item Type: Article
Funders: Malaysian Ministry of Higher Education Fundamental Research Grant Scheme [FRGS/1/2020/STG07/UM/01/2], University of Malaya Faculty Research Grant [GPF035B-2018]
Uncontrolled Keywords: Quantum walk; Quantum channel; Decoherence; Shannon entropy
Subjects: Q Science > QC Physics
Divisions: Faculty of Science
Depositing User: Ms Zaharah Ramly
Date Deposited: 08 Apr 2022 06:45
Last Modified: 12 Apr 2022 04:51
URI: http://eprints.um.edu.my/id/eprint/26997

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