论文标题
张量网络和全息图中的可计算跨标准
Computable Cross Norm in Tensor Networks and Holography
论文作者
论文摘要
最近在参考文献{yin：2022toc}中讨论了可计算的交叉标准（CCNR），作为在凝结的情况下的多部分纠缠的量度。在此简短说明中，我们指出，它与$（2，n）$-Rényi反映的熵密切相关，该熵已在ADS/CFT的背景下进行了研究。我们讨论随机张量网络和全息CFT中CCNR的计算。全息双重二元涉及由Rényi-2宇宙麸皮提出的几何形状中的反反应纠缠楔横截面。我们在双曲线随机张量网络中进行两个间隔的显式计算，以及2D全息CFT的真空状态，并分析连接到粘结的相变的发生。该示例说明了Rényi参数$ n $的任意值的全息图中的分析延续提案的有效性。我们评论该数量的对称分解的概括。
The Computable Cross Norm (CCNR) was recently discussed in Ref.~\cite{Yin:2022toc} as a measure of multipartite entanglement in a condensed matter context. In this short note, we point out that it is closely related to the $(2,n)$-Rényi reflected entropy, which has been studied in the context of AdS/CFT. We discuss the calculation of the CCNR in random tensor networks as well as holographic CFTs. The holographic dual involves a backreacted entanglement wedge cross section in a geometry sourced by Rényi-2 cosmic branes. We perform explicit calculations for two intervals in a hyperbolic random tensor network as well the vacuum state of a 2D holographic CFT, and analyze the occurence of a connected-to-disconnected phase transition. The example illustrates the validity of the proposal for analytic continuation in holography for arbitrary values of Rényi parameter $n$. We comment on a symmetry-resolved generalization of this quantity.
