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

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arxiv 2102.02619 v3 pith:JTRA6AA6 submitted 2021-02-04 quant-ph cond-mat.str-elhep-th

classification quant-phcond-mat.str-elhep-th
keywords holographicquantumconceptscorrectionerrorinformationmodelsrecent
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On decoding the string from interfaces in 2d conformal field theories

    hep-th 2025-11 conditional novelty 6.0 of 10

    Stringy vibrations of an AdS3 junction between two thermal CFTs map to half-sided conformal transformations, producing perfectly reflected wavepackets, and are readable from interval entanglement entropy even at zero tension.

  2. Junctions, strings, clocks and gravitational memory in three dimensional dS space

    hep-th 2025-10 conditional novelty 5.0 of 10

    Transient closed-string fluctuations in dS3 are shown order by order to be encoded in gravitational junction shifts at I±, with the monotonic time shift forming an emergent clock.

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