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Super Quantum Discord for X-type States

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Abstract

Weak measurement is a new way to manipulate and control quantum systems. Different from projection measurement, weak measurement only makes a small change in status. Applying weak measurement to quantum discord, Singh and Pati proposed a new kind of quantum correlations called “super quantum discord (SQD)” [Ann. Phys. 343,141(2014)].Unfortunately, the super quantum discord is also difficult to calculate. There are only few explicit formulae about SQD. We derive an analytical formula of SQD for general X-type two-qubit states, which surpass the conclusion for Werner states and Bell diagonal states. Furthermore, our results reveal more knowledge about the new insight of quantum correlation and give a new way to compare SQD with normal quantum discord. Finally, we analyze its dynamics under nondissipative channels.

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Acknowledgments

The work is supported by NSFC11275131, NSFC11305105 and KZ201410028033.

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Authors and Affiliations

  1. School of Mathematical Sciences, Capital Normal University, Beijing, 100048, China

    Tao Li, Teng Ma, Yaokun Wang, Shaoming Fei & Zhixi Wang

  2. Department of Mathematics, Tonghua Normal University, Tonghua, 134001, China

    Yaokun Wang

  3. Max-Planck-Institute for Mathematics in the Sciences, 04103, Leipzig, Germany

    Shaoming Fei

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  1. Tao Li
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  2. Teng Ma
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  3. Yaokun Wang
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  4. Shaoming Fei
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  5. Zhixi Wang
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Correspondence to Zhixi Wang.

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Li, T., Ma, T., Wang, Y. et al. Super Quantum Discord for X-type States. Int J Theor Phys 54, 680–688 (2015). https://doi.org/10.1007/s10773-014-2260-0

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