Restricted Boltzmann machines in quantum physics

RG Melko, G Carleo, J Carrasquilla, JI Cirac - Nature Physics, 2019 - nature.com
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[HTML][HTML] A review of Machine Learning (ML) algorithms used for modeling travel mode choice

JD Pineda-Jaramillo - Dyna, 2019 - scielo.org.co
In recent decades, transportation planning researchers have used diverse types of machine
learning (ML) algorithms to research a wide range of topics. This review paper starts with a …

Neural-network approach to dissipative quantum many-body dynamics

MJ Hartmann, G Carleo - Physical review letters, 2019 - APS
In experimentally realistic situations, quantum systems are never perfectly isolated and the
coupling to their environment needs to be taken into account. Often, the effect of the …

Two-dimensional frustrated model studied with neural network quantum states

K Choo, T Neupert, G Carleo - Physical Review B, 2019 - APS
The use of artificial neural networks to represent quantum wave functions has recently
attracted interest as a way to solve complex many-body problems. The potential of these …

Backflow transformations via neural networks for quantum many-body wave functions

D Luo, BK Clark - Physical review letters, 2019 - APS
Obtaining an accurate ground state wave function is one of the great challenges in the
quantum many-body problem. In this Letter, we propose a new class of wave functions …

Neural tensor contractions and the expressive power of deep neural quantum states

O Sharir, A Shashua, G Carleo - Physical Review B, 2022 - APS
We establish a direct connection between general tensor networks and deep feed-forward
artificial neural networks. The core of our results is the construction of neural-network layers …

From tensor-network quantum states to tensorial recurrent neural networks

D Wu, R Rossi, F Vicentini, G Carleo - Physical Review Research, 2023 - APS
We show that any matrix product state (MPS) can be exactly represented by a recurrent
neural network (RNN) with a linear memory update. We generalize this RNN architecture to …

Restricted boltzmann machines for quantum states with non-abelian or anyonic symmetries

T Vieijra, C Casert, J Nys, W De Neve, J Haegeman… - Physical review …, 2020 - APS
Although artificial neural networks have recently been proven to provide a promising new
framework for constructing quantum many-body wave functions, the parametrization of a …

Real time evolution with neural-network quantum states

IL Gutiérrez, CB Mendl - Quantum, 2022 - quantum-journal.org
A promising application of neural-network quantum states is to describe the time dynamics
of many-body quantum systems. To realize this idea, we employ neural-network quantum …

Tensor Network Computations That Capture Strict Variationality, Volume Law Behavior, and the Efficient Representation of Neural Network States

WY Liu, SJ Du, R Peng, J Gray, GKL Chan - Physical Review Letters, 2024 - APS
We introduce a change of perspective on tensor network states that is defined by the
computational graph of the contraction of an amplitude. The resulting class of states, which …