Mathematical open problems in Projected Entangled Pair States

Abstract

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.

arXiv commentNotes associated to the Santaló Lecture 2017, Universidad Complutense de Madrid (UCM), minor typos corrected

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