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Conditions for the Freezing Phenomena of Geometric Measure of Quantum Discord for Arbitrary Two-Qubit X-states under Non-dissipative Dephasing Noises

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Abstract

We study the dynamics of geometric measure of quantum discord (GMQD) under the influences of two local phase damping noises. Consider the two qubits initially in arbitrary X-states, we find the necessary and sufficient conditions for which GMQD is unaffected for a finite period. It is further shown that such results also hold for the non-Markovian dephasing process.

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Acknowledgements

This work was supported by National Natural Science Foundation of China under Grant No. 10905024, No. 11374085, No. 11204061, No. 61073048, the Key Project of Chinese Ministry of Education under Grant No. 211080, and the Key Program of the Education Department of Anhui Province under Grant No. KJ2011A243, No. KJ2012A244.

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  1. School of Electronic and Information Engineering, Hefei Normal University, Hefei, 230061, China

    Wei Song & Zhuo-Liang Cao

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  1. Wei Song
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  2. Zhuo-Liang Cao
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Correspondence to Wei Song.

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Song, W., Cao, ZL. Conditions for the Freezing Phenomena of Geometric Measure of Quantum Discord for Arbitrary Two-Qubit X-states under Non-dissipative Dephasing Noises. Int J Theor Phys 53, 519–523 (2014). https://doi.org/10.1007/s10773-013-1835-5

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