Projected entangled pair states (PEPS) are used in practice as an efficient parametrization of the set of ground states of quantum many body systems. The aim of this paper is to present, for a broad mathematical audience, some mathematical questions about PEPS.

中文翻译：

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投影纠缠对状态下的数学开放问题

投影纠缠对态（PEPS）在实践中用作量子多体系统基态集的有效参数化。本文的目的是向广大数学读者介绍有关PEPS的一些数学问题。