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Holographic tensor network models and quantum error correction: A topical review
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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.
Forward citations
Cited by 7 Pith papers
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Graph-restricted tensors generalize 1-uniform states, dual-unitary operators and AME states, with exact analytic solutions for new examples motivated by holographic lattice models.
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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.
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Stringy modes in 3D gravitational junctions map to factorized H_in to H_out and H_L to H_R quantum maps involving scattering matrices and relative Virasoro automorphisms in the dual CFT.
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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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The degrees of freedom of multiway junctions in three dimensional gravity
n-way junctions in 3D gravity correspond to n-1 coupled Nambu-Goto strings with Monge-Ampère sources whose degrees of freedom survive the tensionless limit, implying matter-like behavior from pure gravity and perfect ...
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