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Title: Backflow Transformations via Neural Networks for Quantum Many-Body Wave Functions

Publication Date:
Sponsoring Org.:
OSTI Identifier:
Grant/Contract Number:  
[FG02-12ER46875; SC0008692]
Resource Type:
Publisher's Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
[Journal Name: Physical Review Letters Journal Volume: 122 Journal Issue: 22]; Journal ID: ISSN 0031-9007
American Physical Society
Country of Publication:
United States

Citation Formats

Luo, Di, and Clark, Bryan K. Backflow Transformations via Neural Networks for Quantum Many-Body Wave Functions. United States: N. p., 2019. Web. doi:10.1103/PhysRevLett.122.226401.
Luo, Di, & Clark, Bryan K. Backflow Transformations via Neural Networks for Quantum Many-Body Wave Functions. United States. doi:10.1103/PhysRevLett.122.226401.
Luo, Di, and Clark, Bryan K. Tue . "Backflow Transformations via Neural Networks for Quantum Many-Body Wave Functions". United States. doi:10.1103/PhysRevLett.122.226401.
title = {Backflow Transformations via Neural Networks for Quantum Many-Body Wave Functions},
author = {Luo, Di and Clark, Bryan K.},
abstractNote = {},
doi = {10.1103/PhysRevLett.122.226401},
journal = {Physical Review Letters},
number = [22],
volume = [122],
place = {United States},
year = {2019},
month = {6}

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Works referenced in this record:

Quantum Entanglement in Neural Network States
journal, May 2017

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

Backflow correlations in the Hubbard model: An efficient tool for the study of the metal-insulator transition and the large- U limit
journal, May 2011

Effects of backflow correlation in the three-dimensional electron gas: Quantum Monte Carlo study
journal, September 1998

  • Kwon, Yongkyung; Ceperley, D. M.; Martin, Richard M.
  • Physical Review B, Vol. 58, Issue 11
  • DOI: 10.1103/PhysRevB.58.6800

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

Static and dynamical properties of doped Hubbard clusters
journal, May 1992

Solving frustrated quantum many-particle models with convolutional neural networks
journal, September 2018

Machine Learning Technique to Find Quantum Many-Body Ground States of Bosons on a Lattice
journal, January 2018

  • Saito, Hiroki; Kato, Masaya
  • Journal of the Physical Society of Japan, Vol. 87, Issue 1
  • DOI: 10.7566/JPSJ.87.014001

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

Criticality, the Area Law, and the Computational Power of Projected Entangled Pair States
journal, June 2006

Entanglement Renormalization
journal, November 2007

Symmetries and Many-Body Excitations with Neural-Network Quantum States
journal, October 2018

Efficient representation of topologically ordered states with restricted Boltzmann machines
journal, April 2019

Approximation by superpositions of a sigmoidal function
journal, December 1989

  • Cybenko, G.
  • Mathematics of Control, Signals, and Systems, Vol. 2, Issue 4
  • DOI: 10.1007/BF02551274

Many-Body Problem with Strong Forces
journal, June 1955

Ground-state properties of quantum many-body systems: entangled-plaquette states and variational Monte Carlo
journal, August 2009

Green's Function Monte Carlo Method for Liquid He 3
journal, March 1981

Machine learning topological states
journal, November 2017

Density matrix formulation for quantum renormalization groups
journal, November 1992

Complete-graph tensor network states: a new fermionic wave function ansatz for molecules
journal, October 2010

Itinerant ferromagnetic phase of the Hubbard model
journal, February 2011

Simulation of Quantum Many-Body Systems with Strings of Operators and Monte Carlo Tensor Contractions
journal, January 2008

The Theory of Complex Spectra
journal, November 1929

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

Structure of the Ground State of a Fermion Fluid
journal, September 1981

Stripe order in the underdoped region of the two-dimensional Hubbard model
journal, November 2017

Striped Spin Liquid Crystal Ground State Instability of Kagome Antiferromagnets
journal, November 2013

Solutions of the Two-Dimensional Hubbard Model: Benchmarks and Results from a Wide Range of Numerical Algorithms
journal, December 2015

  • LeBlanc, J. P. F.; Antipov, Andrey E.; Becca, Federico
  • Physical Review X, Vol. 5, Issue 4
  • DOI: 10.1103/PhysRevX.5.041041

Quantum Monte Carlo study of the Ne atom and the Ne+ ion
journal, June 2006

  • Drummond, N. D.; López Ríos, P.; Ma, A.
  • The Journal of Chemical Physics, Vol. 124, Issue 22
  • DOI: 10.1063/1.2204600

Generalized transfer matrix states from artificial neural networks
journal, April 2019

Chiral topological phases from artificial neural networks
journal, May 2018

Method to Solve Quantum Few-Body Problems with Artificial Neural Networks
journal, July 2018

Simple Variational Wave Functions for Two-Dimensional Heisenberg Spin-½ Antiferromagnets
journal, June 1988

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

Role of backflow correlations for the nonmagnetic phase of the t t Hubbard model
journal, July 2008

Quantum Monte Carlo of nitrogen: Atom, dimer, atomic, and molecular solids
journal, April 1994

Theory of Superconductivity
journal, December 1957

Fermion Monte Carlo algorithms and liquid He 3
journal, March 1989

Nonlinear Network Description for Many-Body Quantum Systems in Continuous Space
journal, May 2018

Metal-insulator transition and strong-coupling spin liquid in the t–t ′ Hubbard model
journal, January 2009

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

Learning hard quantum distributions with variational autoencoders
journal, June 2018

  • Rocchetto, Andrea; Grant, Edward; Strelchuk, Sergii
  • npj Quantum Information, Vol. 4, Issue 1
  • DOI: 10.1038/s41534-018-0077-z

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

Many-body wavefunctions for normal liquid He 3
journal, September 2006

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

Variational ground states of two-dimensional antiferromagnets in the valence bond basis
journal, September 2007

Energy Spectrum of the Excitations in Liquid Helium
journal, June 1956

Interaction-induced Fermi-surface renormalization in the t 1 t 2 Hubbard model close to the Mott-Hubbard transition
journal, May 2010

Spin-liquid and magnetic phases in the anisotropic triangular lattice: The case of κ ( ET ) 2 X
journal, August 2009

Efficient Classical Simulation of Slightly Entangled Quantum Computations
journal, October 2003

Effects of three-body and backflow correlations in the two-dimensional electron gas
journal, October 1993

Iterative backflow renormalization procedure for many-body ground-state wave functions of strongly interacting normal Fermi liquids
journal, March 2015

Neural-network quantum state tomography
journal, February 2018