Neural-Network Quantum States, String-Bond States, and Chiral Topological States

Solving the Bose–Hubbard Model with Machine Learning

(2017) Hiroki Saito   JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN

Quantum machine learning

(2017) Jacob Biamonte et al.   NATURE

Learning phase transitions by confusion

(2017) Evert P. L. van Nieuwenburg et al.   Nature Physics

Machine learning phases of matter

(2017) Juan Carrasquilla et al.   Nature Physics

Neural Decoder for Topological Codes

(2017) Giacomo Torlai et al.   PHYSICAL REVIEW LETTERS

Solving the quantum many-body problem with artificial neural networks

(2017) Giuseppe Carleo et al.   SCIENCE

Efficient representation of quantum many-body states with deep neural networks

(2017) Xun Gao et al.   Nature Communications

Quantum Entanglement in Neural Network States

(2017) Dong-Ling Deng et al.   Physical Review X

Machine learning quantum phases of matter beyond the fermion sign problem

(2017) Peter Broecker et al.   Scientific Reports

Designing High-Fidelity Single-Shot Three-Qubit Gates: A Machine-Learning Approach

(2016) Ehsan Zahedinejad et al.   Physical Review Applied

Quantum gate learning in qubit networks: Toffoli gate without time-dependent control

(2016) Leonardo Banchi et al.   npj Quantum Information

Exact parent Hamiltonians of bosonic and fermionic Moore–Read states on lattices and local models

(2015) Ivan Glasser et al.   NEW JOURNAL OF PHYSICS

Chiral topological spin liquids with projected entangled pair states

(2015) Didier Poilblanc et al.   PHYSICAL REVIEW B

Variational Monte Carlo study of a chiral spin liquid in the extended Heisenberg model on the kagome lattice

(2015) Wen-Jun Hu et al.   PHYSICAL REVIEW B

Variational Monte Carlo simulations using tensor-product projected states

(2015) Olga Sikora et al.   PHYSICAL REVIEW B

Tensor network trial states for chiral topological phases in two dimensions and a no-go theorem in any dimension

(2015) J. Dubail et al.   PHYSICAL REVIEW B

Chiral Projected Entangled-Pair State with Topological Order

(2015) Shuo Yang et al.   PHYSICAL REVIEW LETTERS

Lattice Laughlin states of bosons and fermions at filling fractions 1/q

(2014) Hong-Hao Tu et al.   NEW JOURNAL OF PHYSICS

Machine learning for many-body physics: The case of the Anderson impurity model

(2014) Louis-François Arsenault et al.   PHYSICAL REVIEW B

Chiral Spin Liquid in a Frustrated Anisotropic Kagome Heisenberg Model

(2014) Yin-Chen He et al.   PHYSICAL REVIEW LETTERS

Chiral spin liquid and emergent anyons in a Kagome lattice Mott insulator

(2014) B. Bauer et al.   Nature Communications

Emergent Chiral Spin Liquid: Fractional Quantum Hall Effect in a Kagome Heisenberg Model

(2014) Shou-Shu Gong et al.   Scientific Reports

Projected Entangled-Pair States Can Describe Chiral Topological States

(2013) T. B. Wahl et al.   PHYSICAL REVIEW LETTERS

Local models of fractional quantum Hall states in lattices and physical implementation

(2013) Anne E. B. Nielsen et al.   Nature Communications

Optimizing large parameter sets in variational quantum Monte Carlo

(2012) Eric Neuscamman et al.   PHYSICAL REVIEW B

Laughlin Spin-Liquid States on Lattices Obtained from Conformal Field Theory

(2012) Anne E. B. Nielsen et al.   PHYSICAL REVIEW LETTERS

Quantum spin Hamiltonians for theSU(2)kWZW model

(2011) Anne E B Nielsen et al.   JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

Nearly Flatbands with Nontrivial Topology

(2011) Kai Sun et al.   PHYSICAL REVIEW LETTERS

Fractional Quantum Hall Effect of Hard-Core Bosons in Topological Flat Bands

(2011) Yi-Fei Wang et al.   PHYSICAL REVIEW LETTERS

Fractional Quantum Hall States at Zero Magnetic Field

(2011) Titus Neupert et al.   PHYSICAL REVIEW LETTERS

Fractional quantum Hall effect in the absence of Landau levels

(2011) D.N. Sheng et al.   Nature Communications

Fractional Chern Insulator

(2011) N. Regnault et al.   Physical Review X

The density-matrix renormalization group in the age of matrix product states

(2010) Ulrich Schollwöck   ANNALS OF PHYSICS

Simulating two- and three-dimensional frustrated quantum systems with string-bond states

(2010) Alessandro Sfondrini et al.   PHYSICAL REVIEW B

Measuring Renyi Entanglement Entropy in Quantum Monte Carlo Simulations

(2010) Matthew B. Hastings et al.   PHYSICAL REVIEW LETTERS

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

(2009) F Mezzacapo et al.   NEW JOURNAL OF PHYSICS

Approximating strongly correlated wave functions with correlator product states

(2009) Hitesh J. Changlani et al.   PHYSICAL REVIEW B

Fractional Topological Insulators

(2009) Michael Levin et al.   PHYSICAL REVIEW LETTERS

Non-Abelian Statistics in a Quantum Antiferromagnet

(2009) Martin Greiter et al.   PHYSICAL REVIEW LETTERS

Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems

(2008) F. Verstraete et al.   ADVANCES IN PHYSICS

Variational Monte Carlo Method Combined with Quantum-Number Projection and Multi-Variable Optimization

(2008) Daisuke Tahara et al.   JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN

Simulation of Quantum Many-Body Systems with Strings of Operators and Monte Carlo Tensor Contractions

(2008) Norbert Schuch et al.   PHYSICAL REVIEW LETTERS