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International Journal of Theoretical Physics

A Comparison of the Concurrence and Measurement-Induced Disturbance in Two-Qubit Spin XY Model with Decoherence

Tao Li, Yang Guo-Hui

Published Feb 22, 2015• 1 citation
Publisher
DOI
10.1007/s10773-015-2578-2

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Quantum correlations measured by measurement-induced disturbance (MID) in a two-qubit Heisenberg XY spin model with Dzialoshinskii—Moriya (DM) interaction under intrinsic decoherence are investigated. MID is studied under various circumstances and the influences of the external dependencies on the final quantum state which has stable MID are discussed. Two kinds of initial quantum states are considered as well as different conclusions. MID appears to decay periodically during the processing of intrinsic decoherence; both DM interaction and intrinsic decoherence have a negative impact on the correlations. The MID of the stable state depends on several factors, except the parameter of the intrinsic decoherence. Moreover, we find a special initial state that is able to maintain the maximum quantum correlations during the processing of intrinsic decoherence.
We study the quantum correlations in a spin-1/2 (qubit) and spin-1 (qutrit) Heisenberg XY model separately, based on quantum discord (QD) and measurement-induced disturbance (MID) respectively. We find the evidence of the first- and second-order quantum phase transition (QPT) in both spin-1/2 and spin-1 systems. The effect of the temperature, magnetic field and Dzyaloshinskii–Moriya (DM) interactions on QPT and quantum correlation are also investigated. Finally, we observed that the QD and MID are not only vigorous for higher spin systems but also more robust than entanglement.