We introduce a new class of quantum and classical correlation measures by generalizing the reflected entropy to multipartite states. We define the new measures for quantum systems in one spatial dimension. For quantum systems having gravity duals, we show that the holographic duals of these new measures are various types of minimal surfaces consist of different entanglement wedge cross sections. One special generalized reflected entropy is ∆ R , with the holographic dual proportional to the so called multipartite entanglement wedge cross section ∆ W defined before. We then perform a large c computation of ∆ R and find evidence to support ∆ R = 2∆ W . This shows another candidate ∆ R as the dual of 2∆ W and also supports our holographic conjecture of the new class of generalized reflected entropies.

中文翻译：

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反射熵和全息对偶的推广

我们通过将反射熵推广到多态，引入了一类新的量子和经典相关度量。我们在一个空间维度上定义了量子系统的新度量。对于具有引力对偶的量子系统，我们表明这些新措施的全息对偶是由不同的纠缠楔形横截面组成的各种类型的最小表面。一种特殊的广义反射熵是 ∆ R ，全息对偶与之前定义的所谓多部分纠缠楔形截面 ∆ W 成正比。然后我们对 ∆ R 进行大量的 c 计算，并找到支持 ∆ R = 2∆ W 的证据。这表明另一个候选 ∆ R 是 2∆ W 的对偶，并且也支持了我们对新一类广义反射熵的全息猜想。