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Entanglement and Measurement-Induced Disturbance About Two-Qubit Heisenberg XYZ Model

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Abstract

By taking into account the nonuniform magnetic field, quantum correlation behaviors measured by concurrence and measurement-induced disturbance (MID) about a two-qubit anisotropic Heisenberg XYZ model are investigated in detail. We mainly concentrate on the differences between the entanglement and MID with the changes of different self and external control parameters. It is found that the ground state of entanglement exists the revival phenomenon, while this revival phenomenon is not included in MID. This difference is also appeared in the case of the finite temperature. Moreover, we give out the reason why the ground state entanglement and MID can behave very differently, which the former occurs the revival phenomenon whereas the latter does not. Through studying the effects about different parameters on C and MID, it presents that their magnitudes can be evidently enhanced by properly tuning B, b or adjusting the temperature. It also shows the situation which the entanglement is symmetrical with J z while MID is monotonically decreased from one constant value.

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Acknowledgements

This project was supported by the Natural Science Foundation for Young Scientists of Shanxi Province, China (Grant No. 2012021003-3) and the Special Funds of the National Natural Science Foundation of China (Grant No. 11247247).

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Authors and Affiliations

  1. School of Physics and Information Engineering, Shanxi Normal University, Linfen, 041004, P.R. China

    Le Song & Guo-Hui Yang

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  1. Le Song
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  2. Guo-Hui Yang
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Correspondence to Guo-Hui Yang.

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Song, L., Yang, GH. Entanglement and Measurement-Induced Disturbance About Two-Qubit Heisenberg XYZ Model. Int J Theor Phys 53, 1985–1992 (2014). https://doi.org/10.1007/s10773-014-2005-0

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  • DOI: https://doi.org/10.1007/s10773-014-2005-0

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