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Title: Restricted Boltzmann machines and matrix product states of one-dimensional translationally invariant stabilizer codes

Abstract

Not provided.

Authors:
; ; ;
Publication Date:
Research Org.:
Princeton Univ., NJ (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1612432
DOE Contract Number:  
SC0016239
Resource Type:
Journal Article
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 99; Journal Issue: 15; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
Materials Science; Physics

Citation Formats

Zheng, Yunqin, He, Huan, Regnault, Nicolas, and Bernevig, B. Andrei. Restricted Boltzmann machines and matrix product states of one-dimensional translationally invariant stabilizer codes. United States: N. p., 2019. Web. doi:10.1103/physrevb.99.155129.
Zheng, Yunqin, He, Huan, Regnault, Nicolas, & Bernevig, B. Andrei. Restricted Boltzmann machines and matrix product states of one-dimensional translationally invariant stabilizer codes. United States. https://doi.org/10.1103/physrevb.99.155129
Zheng, Yunqin, He, Huan, Regnault, Nicolas, and Bernevig, B. Andrei. Mon . "Restricted Boltzmann machines and matrix product states of one-dimensional translationally invariant stabilizer codes". United States. https://doi.org/10.1103/physrevb.99.155129.
@article{osti_1612432,
title = {Restricted Boltzmann machines and matrix product states of one-dimensional translationally invariant stabilizer codes},
author = {Zheng, Yunqin and He, Huan and Regnault, Nicolas and Bernevig, B. Andrei},
abstractNote = {Not provided.},
doi = {10.1103/physrevb.99.155129},
url = {https://www.osti.gov/biblio/1612432}, journal = {Physical Review B},
issn = {2469-9950},
number = 15,
volume = 99,
place = {United States},
year = {2019},
month = {4}
}

Works referenced in this record:

Solving the quantum many-body problem with artificial neural networks
journal, February 2017


Neural-network quantum state tomography
journal, February 2018


Constructing exact representations of quantum many-body systems with deep neural networks
journal, December 2018


Efficient machine-learning representations of a surface code with boundaries, defects, domain walls, and twists
journal, January 2019


Chiral topological phases from artificial neural networks
journal, May 2018


Neural-Network Quantum States, String-Bond States, and Chiral Topological States
journal, January 2018


Unifying neural-network quantum states and correlator product states via tensor networks
journal, February 2018


Restricted Boltzmann machine learning for solving strongly correlated quantum systems
journal, November 2017


Identifying product order with restricted Boltzmann machines
journal, March 2018


Efficient representation of quantum many-body states with deep neural networks
journal, September 2017


Quantum Entanglement in Neural Network States
journal, May 2017


Equivalence of restricted Boltzmann machines and tensor network states
journal, February 2018


Restricted Boltzmann machines for the long range Ising models
journal, December 2016


Emergence of Compositional Representations in Restricted Boltzmann Machines
journal, March 2017


Approximating quantum many-body wave functions using artificial neural networks
journal, January 2018


Accelerated Monte Carlo simulations with restricted Boltzmann machines
journal, January 2017


Representational Power of Restricted Boltzmann Machines and Deep Belief Networks
journal, June 2008


Rigorous results on valence-bond ground states in antiferromagnets
journal, August 1987


Finitely correlated states on quantum spin chains
journal, March 1992


Density matrix formulation for quantum renormalization groups
journal, November 1992


Thermodynamic Limit of Density Matrix Renormalization
journal, November 1995


Entropy Scaling and Simulability by Matrix Product States
journal, January 2008


The density-matrix renormalization group in the age of matrix product states
journal, January 2011


Quantum Neural Network States: A Brief Review of Methods and Applications
journal, March 2019


Fault-tolerant quantum computation by anyons
journal, January 2003


Machine learning topological states
journal, November 2017


Field-Theory Representation of Gauge-Gravity Symmetry-Protected Topological Invariants, Group Cohomology, and Beyond
journal, January 2015


Entanglement entropy from tensor network states for stabilizer codes
journal, March 2018


Spurious long-range entanglement and replica correlation length
journal, August 2016


Topological entanglement entropy of fracton stabilizer codes
journal, March 2018


Topological gauge theories and group cohomology
journal, April 1990


Symmetry protected topological orders and the group cohomology of their symmetry group
journal, April 2013


Twisted quantum double model of topological phases in two dimensions
journal, March 2013


Twisted gauge theory model of topological phases in three dimensions
journal, July 2015


Rokhsar-Kivelson models of bosonic symmetry-protected topological states
journal, April 2015


Superconductivity and the Quantum Hard-Core Dimer Gas
journal, November 1988