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Recent progress in studies of holographic dualities, originally motivated byinsights from string theory, has led to a confluence with concepts andtechniques from quantum information theory. A particularly successful approachhas involved capturing holographic properties by means of tensor networks whichnot only give rise to physically meaningful correlations of holographicboundary states, but also reproduce and refine features of quantum errorcorrection in holography. This topical review provides an overview over recentsuccessful realizations of such models. It does so by building on anintroduction of the theoretical foundations of AdS/CFT and necessary quantuminformation concepts, many of which have themselves developed into independent,rapidly evolving research fields.

Holographic tensor network models and quantum error correction: A topical review