Quantum neural network states: A brief review of methods and applications

ZA Jia, B Yi, R Zhai, YC Wu, GC Guo… - Advanced Quantum …, 2019 - Wiley Online Library
One of the main challenges of quantum many‐body physics is the exponential growth in the
dimensionality of the Hilbert space with system size. This growth makes solving the …

Time-dependent variational principle for open quantum systems with artificial neural networks

M Reh, M Schmitt, M Gärttner - Physical Review Letters, 2021 - APS
We develop a variational approach to simulating the dynamics of open quantum many-body
systems using deep autoregressive neural networks. The parameters of a compressed …

Efficient representation of topologically ordered states with restricted Boltzmann machines

S Lu, X Gao, LM Duan - Physical Review B, 2019 - APS
Representation by neural networks, in particular by restricted Boltzmann machines (RBMs),
has provided a powerful computational tool to solve quantum many-body problems. An …

Advantages of versatile neural-network decoding for topological codes

N Maskara, A Kubica, T Jochym-O'Connor - Physical Review A, 2019 - APS
Finding optimal correction of errors in generic stabilizer codes is a computationally hard
problem, even for simple noise models. While this task can be simplified for codes with some …

Quantum codes from neural networks

J Bausch, F Leditzky - New Journal of Physics, 2020 - iopscience.iop.org
We examine the usefulness of applying neural networks as a variational state ansatz for
many-body quantum systems in the context of quantum information-processing tasks. In the …

Target-generating quantum error correction coding scheme based on generative confrontation network

H Wang, Z Song, Y Wang, Y Tian, H Ma - Quantum Information Processing, 2022 - Springer
In order to solve the errors generated during the operation of quantum computers, quantum
error correction codes are the most effective candidates at the moment. The best choice of …

Quantum information protection scheme based on reinforcement learning for periodic surface codes

YJ Xue, HW Wang, YB Tian, YN Wang… - Quantum …, 2022 - Wiley Online Library
Quantum information transfer is an information processing technology with high speed and
high entanglement with the help of quantum mechanics principles. To solve the problem of …

Approximating power of machine-learning ansatz for quantum many-body states

A Borin, DA Abanin - Physical Review B, 2020 - APS
An artificial neural network (ANN) with the restricted Boltzmann machine (RBM) architecture
was recently proposed as a versatile variational quantum many-body wave function. In this …

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

Y Zheng, H He, N Regnault, BA Bernevig - Physical Review B, 2019 - APS
We discuss the relations between restricted Boltzmann machine (RBM) states and the matrix
product states (MPS) for the ground states of 1D translational invariant stabilizer codes. A …

Expressive power of complex-valued restricted Boltzmann machines for solving nonstoquastic Hamiltonians

CY Park, MJ Kastoryano - Physical Review B, 2022 - APS
Variational Monte Carlo with neural network quantum states has proven to be a promising
avenue for evaluating the ground-state energy of spin Hamiltonians. However, despite …