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 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 .
Highlights
Due to their significant role in quantum computation, the principles of open quantum schemes have received increasing consideration in the latest years
The problem we are introducing in this paper is a quantum system composed of three qubits characterized by a finite temperature within a thermodynamic limit influenced by a quantum spin environment
We study a quantum system composed of three qubits characterized by a finite temperature within a thermodynamic limit influenced by a quantum spin environment
Summary
Due to their significant role in quantum computation, the principles of open quantum schemes have received increasing consideration in the latest years. When interacting with an environment, the components of a composite quantum system, such as a multi-qubit quantum computer, are disentangled under the influence of the decoherence process. In most cases of the non-Markovian process, it is quite tricky to get a specific solution to the time evolution of the reduced density matrix which is traced over by the surrounding environment This casts more importance on our endeavor to study the case of the non-Markovian three-qubit quantum system by employing an innovative operator procedure to reach a specific solution to our system.
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