Entanglement and entropy of a three-qubit system interacting with a quantum spin environment

Abstract

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 E0 within the spin- qubit system and an external magnetic field on the three-particles residual entanglement Nabc, the concurrence C(p), the information entropy H(θZ) and the linear entropy PP(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 E0.