Quantum information in holographic duality

B Chen, B Czech, ZZ Wang - Reports on Progress in Physics, 2022 - iopscience.iop.org
We give a pedagogical review of how concepts from quantum information theory build up
the gravitational side of the anti-de Sitter/conformal field theory correspondence. The review …

Sample-efficient learning of interacting quantum systems

A Anshu, S Arunachalam, T Kuwahara… - Nature Physics, 2021 - nature.com
Learning the Hamiltonian that describes interactions in a quantum system is an important
task in both condensed-matter physics and the verification of quantum technologies. Its …

Does a single eigenstate encode the full Hamiltonian?

JR Garrison, T Grover - Physical Review X, 2018 - APS
The eigenstate thermalization hypothesis (ETH) posits that the reduced density matrix for a
subsystem corresponding to an excited eigenstate is “thermal.” Here we expound on this …

Determining a local Hamiltonian from a single eigenstate

XL Qi, D Ranard - Quantum, 2019 - quantum-journal.org
We ask whether the knowledge of a single eigenstate of a local Hamiltonian is sufficient to
uniquely determine the Hamiltonian. We present evidence that the answer is``yes" for …

Computational inverse method for constructing spaces of quantum models from wave functions

E Chertkov, BK Clark - Physical Review X, 2018 - APS
Traditional computational methods for studying quantum many-body systems are “forward
methods,” which take quantum models, ie, Hamiltonians, as input and produce ground …

Learning quantum many-body systems from a few copies

C Rouzé, DS França - Quantum, 2024 - quantum-journal.org
Estimating physical properties of quantum states from measurements is one of the most
fundamental tasks in quantum science. In this work, we identify conditions on states under …

Renormalization group constructions of topological quantum liquids and beyond

B Swingle, J McGreevy - Physical Review B, 2016 - APS
We give a detailed physical argument for the area law for entanglement entropy in gapped
phases of matter arising from local Hamiltonians. Our approach is based on renormalization …

Inviolable energy conditions from entanglement inequalities

N Lashkari, C Rabideau, P Sabella-Garnier… - Journal of High Energy …, 2015 - Springer
A bstract Via the AdS/CFT correspondence, fundamental constraints on the entanglement
structure of quantum systems translate to constraints on spacetime geometries that must be …

The information theoretic interpretation of the length of a curve

B Czech, P Hayden, N Lashkari, B Swingle - Journal of High Energy …, 2015 - Springer
A bstract In the context of holographic duality with AdS 3 asymptotics, the Ryu-Takayanagi
formula states that the entanglement entropy of a subregion is given by the length of a …

Supervised learning in Hamiltonian reconstruction from local measurements on eigenstates

C Cao, SY Hou, N Cao, B Zeng - Journal of Physics: Condensed …, 2020 - iopscience.iop.org
Reconstructing a system Hamiltonian through measurements on its eigenstates is an
important inverse problem in quantum physics. Recently, it was shown that generic many …