AI 中文总结
该研究计算了由三方Haar随机纯态导出的二方混合态的纠缠相对熵，得出其近似饱和形成纠缠与互信息较小值的结论，并由单侧Schmidt去相位得到的可分态实现该上界。
AI 中文摘要
我们确定了从三方Haar随机纯态$|\rangle_{ABC}$中剔除一个子系统得到的二方混合态$\rho_{AB}$的纠缠相对熵，得到$E_R(\rho_{AB})=\frac{d_Ad_B}{\text{max}(d_A,d_B,d_C)}+O(1)$。等价地，纠缠相对熵几乎饱和了形成纠缠$E_F(\rho_{AB})$和互信息$I(A:B)$中较小的那个值。该上界由通过单侧Schmidt去相位得到的显式可分态实现，因此该态近似为最接近的态。
英文摘要
We determine the relative entropy of entanglement of a bipartite mixed state $ρ_{AB}$ obtained by tracing out one subsystem of a tripartite Haar-random pure state $|ψ\rangle_{ABC}$, finding $E_R(ρ_{AB})=\log\frac{d_Ad_B}{\max(d_A,d_B,d_C)}+O(1)$. Equivalently, the relative entropy of entanglement nearly saturates the smaller of the entanglement of formation $E_F(ρ_{AB})$ and the mutual information $I(A:B)$. The upper bound is achieved by an explicit separable state obtained through one-sided Schmidt dephasing, which is therefore approximately closest.
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