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Open AccessArticle

Entanglement and Entropy of a Three-Qubit System Interacting with a Quantum Spin Environment

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Department of Mathematics, Faculty of Science, Taibah University, Medina 41411, Saudi Arabia
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Department of Mathematics, Faculty of Education, Ain Shams University, Cairo 11566, Egypt
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Department of Physics and Computer Science, Faculty of Science, Wilfrid Laurier University, Waterloo, ON N2L 3C5, Canada
*
Author to whom correspondence should be addressed.
Appl. Sci. 2019, 9(23), 5222; https://doi.org/10.3390/app9235222
Received: 5 August 2019 / Revised: 28 October 2019 / Accepted: 21 November 2019 / Published: 30 November 2019
(This article belongs to the Section Quantum Science and Technology)
Throughout this paper, we describe an analytical solution for a three-qubit system characterized by a finite temperature within a thermodynamic limit influenced by a quantum spin environment. As applications to the presented solution, we investigate the effect of the temperature, the coupling constant ϵ 0 within the spin- qubit system and an external magnetic field on the three-particles residual entanglement N a b c , the concurrence C ( ρ ) , the information entropy H ( σ Z ) and the linear entropy P P ( t ) . The results show an inverse relationship between the entanglement and entropy, where the degree of both is controlled by controlling the temperature T and the coupling constant ϵ 0 . View Full-Text
Keywords: quantum spin; entropy; thermodynamic; concurrence quantum spin; entropy; thermodynamic; concurrence
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Abo-Kahla, D.A.M.; Farouk, A. Entanglement and Entropy of a Three-Qubit System Interacting with a Quantum Spin Environment. Appl. Sci. 2019, 9, 5222.

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