Entanglement and Entropy of a Three-Qubit System Interacting with a Quantum Spin Environment
by
Doaa Abo M. Abo-Kahla 1,2
and Ahmed Farouk 3,*
Doaa Abo M. Abo-Kahla 1,2 and Ahmed Farouk 3,*
1
Department of Mathematics, Faculty of Science, Taibah University, Medina 41411, Saudi Arabia
2
Department of Mathematics, Faculty of Education, Ain Shams University, Cairo 11566, Egypt
3
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 within the spin- qubit system and an external magnetic field on the three-particles residual entanglement , the concurrence the information entropy and the linear entropy 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
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Keywords:
quantum spin; entropy; thermodynamic; concurrence
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MDPI and ACS Style
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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