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Due to the strong correlations present in quantum systems, classical machine learning algorithms like stochastic gradient descent are often insufficient for the training of neural network quantum states (NQSs). These difficulties can be…

Quantum Physics · Physics 2021-04-23 J. Thorben Frank , Michael J. Kastoryano

Neural quantum states have emerged as a widely used approach to the numerical study of the ground states of non-stoquastic Hamiltonians. However, existing approaches often rely on a priori knowledge of the sign structure or require a…

Quantum Physics · Physics 2025-10-03 Xiaowei Ou , Tianshu Huang , Vidvuds Ozolins

Quantum state tomography (QST) is essential for validating quantum devices but suffers from exponential scaling in system size. Neural-network quantum states, such as Restricted Boltzmann Machines (RBMs), can efficiently parameterize…

Quantum Physics · Physics 2026-01-30 Simon Tonner , Viet T. Tran , Richard Kueng

Recently, quantum-state representation using artificial neural networks has started to be recognized as a powerful tool. However, due to the black-box nature of machine learning, it is difficult to analyze what machine learns or why it is…

Quantum Physics · Physics 2022-05-24 Yusuke Nomura

Computing the ground state of interacting quantum matter is a long-standing challenge, especially for complex two-dimensional systems. Recent developments have highlighted the potential of neural quantum states to solve the quantum…

Disordered Systems and Neural Networks · Physics 2025-07-03 Ao Chen , Markus Heyl

Neural networks are predominantly trained using gradient-based methods, yet in many applications their final predictions remain far from the accuracy attainable within the model's expressive capacity. We introduce Linearized Subspace…

Machine Learning · Computer Science 2026-01-21 Wenbo Cao , Weiwei Zhang

In this work we apply deep neural networks to find the non-equilibrium steady state solution to correlated open quantum many-body systems. Motivated by the ongoing search to find more powerful representations of (mixed) quantum states, we…

Quantum Physics · Physics 2025-01-13 Johannes Mellak , Enrico Arrigoni , Wolfgang von der Linden

Recent work has shown the promise of applying deep learning to enhance software processing of radio frequency (RF) signals. In parallel, hardware developments with quantum RF sensors based on Rydberg atoms are breaking longstanding barriers…

Quantum Physics · Physics 2025-04-24 Pranav Gokhale , Caitlin Carnahan , William Clark , Teague Tomesh , Frederic T. Chong

Strongly interacting quantum systems described by non-stoquastic Hamiltonians exhibit rich low-temperature physics. Yet, their study poses a formidable challenge, even for state-of-the-art numerical techniques. Here, we investigate…

Computational Physics · Physics 2021-06-18 Marin Bukov , Markus Schmitt , Maxime Dupont

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 variational parameterizations has been supported by analytical…

Strongly Correlated Electrons · Physics 2019-09-18 Kenny Choo , Titus Neupert , Giuseppe Carleo

Machine-learning-based variational Monte Carlo simulations are a promising approach for targeting quantum many-body ground states, especially in two dimensions and in cases where the ground state is known to have a non-trivial sign…

Strongly Correlated Electrons · Physics 2025-10-14 M. Schuyler Moss , Roeland Wiersema , Mohamed Hibat-Allah , Juan Carrasquilla , Roger G. Melko

Modern deep learning has enabled unprecedented achievements in various domains. Nonetheless, employment of machine learning for wave function representations is focused on more traditional architectures such as restricted Boltzmann machines…

Quantum Physics · Physics 2019-02-20 Yoav Levine , Or Sharir , Nadav Cohen , Amnon Shashua

Neural quantum states are a new family of variational ans\"atze for quantum-many body wave functions with advantageous properties in the notoriously challenging case of two spatial dimensions. Since their introduction a wide variety of…

Strongly Correlated Electrons · Physics 2023-05-24 Moritz Reh , Markus Schmitt , Martin Gärttner

It was recently proposed to leverage the representational power of artificial neural networks, in particular Restricted Boltzmann Machines, in order to model complex quantum states of many-body systems [Science, 355(6325), 2017]. States…

Quantum Physics · Physics 2019-07-04 Nahuel Freitas , Giovanna Morigi , Vedran Dunjko

With the wide and deep adoption of deep learning models in real applications, there is an increasing need to model and learn the representations of the neural networks themselves. These models can be used to estimate attributes of different…

Computer Vision and Pattern Recognition · Computer Science 2023-03-24 Yun Yi , Haokui Zhang , Wenze Hu , Nannan Wang , Xiaoyu Wang

Neural networks have been recently proposed as variational wave functions for quantum many-body systems [G. Carleo and M. Troyer, Science 355, 602 (2017)]. In this work, we focus on a specific architecture, known as Restricted Boltzmann…

Strongly Correlated Electrons · Physics 2022-05-25 Luciano Loris Viteritti , Francesco Ferrari , Federico Becca

We show that a neural network, trained on the entanglement spectra of a nearest neighbor Heisenberg chain in a random transverse magnetic field, can be used to efficiently study the ergodic/many-body localized properties of a number of…

Disordered Systems and Neural Networks · Physics 2021-08-13 Cameron Beetar , Jeff Murugan , Dario Rosa

Aims: The aim of this work is to study the application of the artificial neural networks guided by the autoencoder architecture as a method for precise reconstruction of the neutron star equation of state, using their observable parameters:…

High Energy Astrophysical Phenomena · Physics 2020-10-07 Filip Morawski , Michał Bejger

Quantum machine learning algorithms have emerged to be a promising alternative to their classical counterparts as they leverage the power of quantum computers. Such algorithms have been developed to solve problems like electronic structure…

Chemical Physics · Physics 2021-10-29 Manas Sajjan , Shree Hari Sureshbabu , Sabre Kais

We utilize neural network quantum states (NQS) to investigate the ground state properties of the Heisenberg model on a Shastry-Sutherland lattice using the variational Monte Carlo method. We show that already relatively simple NQSs can be…

Disordered Systems and Neural Networks · Physics 2024-02-07 Matěj Mezera , Jana Menšíková , Pavel Baláž , Martin Žonda
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