Relative Entropy of Entanglement of One Class of Two-Qubit System

Lin-Mei Liang, Ping‐Xing Chen, Cheng-Zu Li, Ming-Qiu Huang · Chinese Physics Letters · 2001

The relative entropy of entanglement of a mixed state σ for a bipartite quantum system can be defined as the minimum of the quantum relative entropy over the set of completely disentangled states. Vedral et al. [Phys. Rev. A 57(1998)1619] have recently proposed a numerical method to obtain the relative entropy of entanglement E re for two-qubit systems. This letter shows that the convex programming method can be applied to calculate E re of two-qubit systems analytically, and discusses the conditions under which the method can be adopted.

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