Unifying neural-network quantum states and correlator product states via tensor networks

DOI10.1088/1751-8121/aaaaf2zbMath1394.81074arXiv1710.03545OpenAlexW2763850513MaRDI QIDQ4644127

Stephen R. Clark

Publication date: 30 May 2018

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.03545

zbMATH Keywords

restricted Boltzmann machinescorrelator product statesneural-network quantum statestensor network theory

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Quantum computation (81P68) Many-body theory; quantum Hall effect (81V70) Neural nets applied to problems in time-dependent statistical mechanics (82C32) Classical and relativistic thermodynamics (80A10)

Related Items (2)

Solving many-electron Schrödinger equation using deep neural networks ⋮ Compact neural-network quantum state representations of Jastrow and stabilizer states

Uses Software

• MNIST
• Tensor Network Theory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Tensor Decompositions and Applications
• A practical introduction to tensor networks: Matrix product states and projected entangled pair states
• The density-matrix renormalization group in the age of matrix product states
• Fault-tolerant quantum computation by anyons
• Quantum Monte Carlo Methods
• Colloquium: Area laws for the entanglement entropy
• Area Laws in Quantum Systems: Mutual Information and Correlations
• Criticality, the Area Law, and the Computational Power of Projected Entangled Pair States
• Multiparty entanglement in graph states
• Tensor Spaces and Numerical Tensor Calculus
• Algebraically contractible topological tensor network states
• Training Products of Experts by Minimizing Contrastive Divergence
• Many-Body Problem with Strong Forces
• Statistical Mechanics of Dimers on a Plane Lattice
• The tensor network theory library
• Representational Power of Restricted Boltzmann Machines and Deep Belief Networks
• Renormalization and tensor product states in spin chains and lattices
• Critical behaviour of the fully packed loop model on the square lattice
• Solving the quantum many-body problem with artificial neural networks
• Quantum Monte Carlo Approaches for Correlated Systems

This page was built for publication: Unifying neural-network quantum states and correlator product states via tensor networks