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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 states to approximate the implicit midpoint rule method, which…

Disordered Systems and Neural Networks · Physics 2022-01-26 Irene López Gutiérrez , Christian B. Mendl

The numerical emulation of quantum systems often requires an exponential number of degrees of freedom which translates to a computational bottleneck. Methods of machine learning have been used in adjacent fields for effective feature…

Disordered Systems and Neural Networks · Physics 2020-08-10 A Berezutskii , M Beketov , D Yudin , Z Zimborás , J Biamonte

Neural-network quantum states have emerged as a powerful variational framework for quantum many-body systems, with recent progress often driven by massively parallel architectures such as transformers. Recurrent neural network quantum…

Strongly Correlated Electrons · Physics 2026-05-14 Ejaaz Merali , Mohamed Hibat-Allah , Mohammad Kohandel , Richard T. Scalettar , Ehsan Khatami

Neural-network quantum states (NQS) offer a versatile and expressive alternative to traditional variational ans\"atze for simulating physical systems. Energy-based frameworks, like Hopfield networks and Restricted Boltzmann Machines,…

Quantum Physics · Physics 2024-12-18 Manas Sajjan , Vinit Singh , Sabre Kais

Neural-network quantum states have shown great potential for the study of many-body quantum systems. In statistical machine learning, transfer learning designates protocols reusing features of a machine learning model trained for a problem…

We study the performance of efficient quantum state tomography methods based on neural network quantum states using measured data from a two-photon experiment. Machine learning inspired variational methods provide a promising route towards…

Neural network quantum states (NQS) have emerged as a powerful and flexible framework for addressing quantum many-body problems. While successful for model Hamiltonians, their application to molecular systems remains challenging for several…

Chemical Physics · Physics 2025-07-28 Zibo Wu , Bohan Zhang , Wei-Hai Fang , Zhendong Li

Ground-state properties are central to our understanding of quantum many-body systems. At first glance, it seems natural and essential to obtain the ground state before analyzing its properties; however, its exponentially large Hilbert…

Strongly Correlated Electrons · Physics 2022-09-26 Pei-Lin Zheng , Si-Jing Du , Yi 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

Neural-network state representations of quantum many-body systems are attracting great attention and more rigorous quantitative analysis about their expressibility and complexity is warranted. Our analysis of the restricted Boltzmann…

Quantum Physics · Physics 2024-05-24 Ruizhi Pan , Charles W. Clark

Combining insights from machine learning and quantum Monte Carlo, the stochastic reconfiguration method with neural network Ansatz states is a promising new direction for high-precision ground state estimation of quantum many-body problems.…

Quantum Physics · Physics 2020-10-14 Chae-Yeun Park , Michael J. Kastoryano

Generative models are a promising technology for the enhancement of quantum simulators. These machine learning methods are capable of reconstructing a quantum state from experimental measurements, and can aid in the calculation of physical…

Quantum Physics · Physics 2021-07-07 Stewart Morawetz , Isaac J. S. De Vlugt , Juan Carrasquilla , Roger G. Melko

The optimal use of quantum and classical computational techniques together is important to address problems that cannot be easily solved by quantum computations alone. This is the case of the ground state problem for quantum many-body…

Quantum Physics · Physics 2022-05-03 Patrick Huembeli , Giuseppe Carleo , Antonio Mezzacapo

We investigate the ground state properties of quantum skyrmions in a ferromagnet using variational Monte Carlo with the neural network quantum state as variational ansatz. We study the ground states of a two-dimensional quantum Heisenberg…

Mesoscale and Nanoscale Physics · Physics 2023-09-21 Ashish Joshi , Robert Peters , Thore Posske

Neural Quantum States (NQS) have demonstrated significant potential in approximating ground states of many-body quantum systems, though their performance can be inconsistent across different models. This study investigates the performance…

Quantum Physics · Physics 2025-01-15 Eimantas Ledinauskas , Egidijus Anisimovas

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

The classical simulation of quantum systems typically requires exponential resources. Recently, the introduction of a machine learning-based wavefunction ansatz has led to the ability to solve the quantum many-body problem in regimes that…

Disordered Systems and Neural Networks · Physics 2019-10-24 Joseph Gomes , Keri A. McKiernan , Peter Eastman , Vijay S. Pande

We present a deterministic optimization framework for Neural Network Quantum States (NQS) designed to bypass the sampling variance and slow mixing issues inherent in stochastic optimization. By projecting a neural backflow ansatz onto…

Chemical Physics · Physics 2026-05-12 Zheng Che

Neural quantum states are a promising framework for simulating many-body quantum dynamics, as they can represent states with volume-law entanglement. As time evolves, the neural network parameters are typically optimized at discrete time…

Quantum Physics · Physics 2026-02-04 Dingzu Wang , Wenxuan Zhang , Xiansong Xu , Dario Poletti

Tensor network states form a variational ansatz class widely used, both analytically and numerically, in the study of quantum many-body systems. It is known that if the underlying graph contains a cycle, e.g. as in projected entangled pair…

Quantum Physics · Physics 2021-05-26 Matthias Christandl , Fulvio Gesmundo , Daniel Stilck Franca , Albert H. Werner