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The relative entropy of entanglement of Schmidt correlated states and distillation

Yi-Xin Chen·Dong Yang
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Abstract

We show that a mixed state $ρ=\sum_{mn}a_{mn}|m> < n|$ can be realized by an ensemble of pure states $\{p_{k}, |ϕ_{k} > \}$ where $|ϕ_{k}>=\sum_{m}\sqrt{a_{mm}}e^{iθ_{m}^{k}}|m>$. Employing this form, we discuss the relative entropy of entanglement of Schmidt correlated states. Also, we calculate the distillable entanglement of a class of mixed states.

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Yi-Xin Chen, Dong Yang. 2002-12-26. The relative entropy of entanglement of Schmidt correlated states and distillation. https://arxiv.org/abs/quant-ph/0204152

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