Holographic tensor network models and quantum error correction: A
topical review
- URL: http://arxiv.org/abs/2102.02619v3
- Date: Thu, 19 May 2022 06:24:40 GMT
- Title: Holographic tensor network models and quantum error correction: A
topical review
- Authors: Alexander Jahn and Jens Eisert
- Abstract summary: Recent progress in studies of holographic dualities has led to a confluence with concepts and techniques from quantum information theory.
A particularly successful approach has involved capturing holographic properties by means of tensor networks.
- Score: 78.28647825246472
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Recent progress in studies of holographic dualities, originally motivated by
insights from string theory, has led to a confluence with concepts and
techniques from quantum information theory. A particularly successful approach
has involved capturing holographic properties by means of tensor networks which
not only give rise to physically meaningful correlations of holographic
boundary states, but also reproduce and refine features of quantum error
correction in holography. This topical review provides an overview over recent
successful realizations of such models. It does so by building on an
introduction of the theoretical foundations of AdS/CFT and necessary quantum
information concepts, many of which have themselves developed into independent,
rapidly evolving research fields.
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