Entanglement of purification: from spin chains to holography
Entanglement of purification: from spin chains to holography
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DOI：
10.1007/jhep01(2018)098
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发表时间：
2017-09
影响因子：
5.4
通讯作者：
P. Nguyen;T. Devakul;Matthew G. Halbasch;M. Zaletel;Brian Swingle
中科院分区：
文献类型：
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作者：
P. Nguyen;T. Devakul;Matthew G. Halbasch;M. Zaletel;Brian Swingle
纯化是量子物理学中的一种强大技术，其中混合量子态在更大的系统上扩展为纯态。这个过程并不是唯一的，在由许多自由度组成的系统中，一个自然的净化是最小纠缠的净化。在这里，我们研究熵的最小纠缠净化，称为纠缠的净化，在三个模型系统：伊辛自旋链，共形场理论全息双爱因斯坦引力，和随机稳定张量网络。我们猜想在所有这些模型中的纠缠净化值，我们支持我们的计算与各种数值和分析结果。我们发现，这种最低限度的纠缠纯化有许多应用，从增强纠缠为基础的张量网络方法描述混合状态，阐明新的方面出现的几何纠缠在AdS/CFT对应。
Purification is a powerful technique in quantum physics whereby a mixed quantum state is extended to a pure state on a larger system. This process is not unique, and in systems composed of many degrees of freedom, one natural purification is the one with minimal entanglement. Here we study the entropy of the minimally entangled purification, called the entanglement of purification, in three model systems: an Ising spin chain, conformal field theories holographically dual to Einstein gravity, and random stabilizer tensor networks. We conjecture values for the entanglement of purification in all these models, and we support our conjectures with a variety of numerical and analytical results. We find that such minimally entangled purifications have a number of applications, from enhancing entanglement-based tensor network methods for describing mixed states to elucidating novel aspects of the emergence of geometry from entanglement in the AdS/CFT correspondence.