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Quantum Information in Holographic Duality
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We give a pedagogical review of how concepts from quantum information theory build up the gravitational side of the AdS/CFT correspondence. The review is self-contained in that it only presupposes knowledge of quantum mechanics and general relativity; other tools--including holographic duality itself--are introduced in the text. We have aimed to give researchers interested in entering this field a working knowledge sufficient for initiating original projects. The review begins with the laws of black hole thermodynamics, which form the basis of this subject, then introduces the Ryu-Takayanagi proposal, the JLMS relation, and subregion duality. We discuss tensor networks as a visualization tool and analyze various network architectures in detail. Next, several modern concepts and techniques are discussed: Renyi entropies and the replica trick, differential entropy and kinematic space, modular Berry phases, modular minimal entropy, entanglement wedge cross sections, bit threads, and others. We discuss the extent to which bulk geometries are fixed by boundary entanglement entropies, and analyze the relations such as the monogamy of mutual information, which boundary entanglement entropies must obey if a state has a semiclassical bulk dual. We close with a discussion of black holes, including holographic complexity, firewalls and the black hole information paradox, islands, and replica wormholes.
Forward citations
Cited by 15 Pith papers
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Holographic Learning from Fermionic Spectra: Application to Strange Metal Phenomenology
Neural ODEs learn that normalized low-T cuprate PLL spectra are well described by conformal-to-AdS2 black holes with nearly vanishing gauge potential, while thermodynamics remain invisible to the massless probe.
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Holographic Learning from Fermionic Spectra: Application to Strange Metal Phenomenology
A Neural-ODE framework reconstructs effective black-hole metric functions and gauge potential from fermionic spectral functions, validates on known holographic models, and shows low-temperature cuprate strange-metal s...
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Decoding multiway gravitational junctions in AdS in terms of holographic quantum maps
Multiway AdS junctions dualize to factorized quantum maps on CFT interfaces, with scattering matrix fixed by junction tension and automorphisms from n-1 stringy modes, independent of background state.
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Krylov Subspace Dynamics as Near-Horizon AdS$_2$ Holography
In the continuum limit the discrete Krylov chain becomes a Klein-Gordon field in AdS2, with Lanczos growth rate α identified as πT, recovering the maximal chaos bound and requiring the Breitenlohner-Freedman bound for...
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Holography and Kinematic Space for Gravitational Sub-regions in AdS
The paper proposes a kinematic space for any subregion of vacuum AdS, whose geodesic 'PEE threads' uniformly cover the subregion and yield tensor-network models that reproduce Ryu-Takayanagi entropy and realize surfac...
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Holography and Kinematic Space for Gravitational Sub-regions in AdS
PEE threads from any codimension-one surface uniformly cover a reconstructible AdS subregion, enabling tensor-network realizations of surface/state correspondence and generalized entanglement wedges.
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On decoding the string from interfaces in 2d conformal field theories
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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Entanglement inequalities, black holes and the architecture of typical states
Typical states in large-N holographic CFTs exhibit UV and IR length scales set by energy and charges, producing factorization that isolates black holes via a corona of saturated entanglement wedges and extends ETH to ...
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Decoding the string in terms of holographic quantum maps
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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Entanglement Harvesting and Quantum Discord of Alpha Vacua in de Sitter Space
The reduced states of static UDW detectors coupled to a scalar field in alpha-vacua are derived analytically, revealing distinct behaviors of entanglement harvesting for time-like versus space-like separations and sup...
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Evaporation and fate of covariant quantum black holes
For a covariant LQG black-hole metric, Hawking mass-loss rates depend on emitted-particle spin and deviate from Schwarzschild rates only for sub-Planckian masses.
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Holography and Kinematic Space for Gravitational Sub-regions in AdS
Extends kinematic space and PEE threads to subregions in AdS and builds tensor networks on them realizing surface-state correspondence for gravitational subregions.
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Junctions, strings, clocks and gravitational memory in three dimensional dS space
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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