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arXiv · 1504.00129

Quantum discord for the general two-qubit case

Xiaohua Wu·Tao Zhou
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Abstract

Recently, Girolami and Adesso have demonstrated that the calculation of quantum discord for two-qubit case can be viewed as to solve a pair of transcendental equation (Phys. Rev. A, {\bf 83}, 052108(2011)). In present work, we introduce the generalized Choi-Jamiolkowski isomorphism and apply it as a convenient tool for constructing transcendental equations. For the general two-qubit case, we show that the transcendental equations always have a finite set of universal solutions, this result can be viewed as a generalization of the one get by Ali, Rau, and Alber (Phys. Rev. A, {\bf 81}, 042105 (2010)). For a subclass of $X$ state, we find the analytical solutions by solving the transcendental equations.

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Xiaohua Wu, Tao Zhou. 2015-04-01. Quantum discord for the general two-qubit case. https://doi.org/10.1007/s11128-015-0962-8

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