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Solving the electronic Schr\"odinger equation for strongly correlated systems remains one of the grand challenges in quantum chemistry. Here we demonstrate that Transformer architectures can be adapted to capture the complex grammar of…

Quantum Physics · Physics 2025-10-01 Huan Ma , Bowen Kan , Honghui Shang , Jinlong Yang

Quantum many-body systems are of great interest for many research areas, including physics, biology and chemistry. However, their simulation is extremely challenging, due to the exponential growth of the Hilbert space with the system size,…

Quantum Physics · Physics 2024-10-23 Lorenzo Brevi , Antonio Mandarino , Enrico Prati

The performance of quantum algorithms for eigenvalue problems, such as computing Hamiltonian spectra, depends strongly on the overlap of the initial wavefunction and the target eigenvector. In a basis of Slater determinants, the…

Quantum Physics · Physics 2025-03-03 Daniel Marti-Dafcik , Hugh G. A. Burton , David P. Tew

Deep neural networks have been proven to be highly effective tools in various domains, yet their computational and memory costs restrict them from being widely deployed on portable devices. The recent rapid increase of edge computing…

Neural and Evolutionary Computing · Computer Science 2023-06-01 Ayan Shymyrbay , Mohammed E. Fouda , Ahmed Eltawil

Neural-network quantum states have been successfully used to study a variety of lattice and continuous-space problems. Despite a great deal of general methodological developments, representing fermionic matter is however still early…

Computational Physics · Physics 2020-06-24 Kenny Choo , Antonio Mezzacapo , Giuseppe Carleo

Establishing a predictive ab initio method for solid systems is one of the fundamental goals in condensed matter physics and computational materials science. The central challenge is how to encode a highly-complex quantum-many-body wave…

Strongly Correlated Electrons · Physics 2021-05-25 Nobuyuki Yoshioka , Wataru Mizukami , Franco Nori

Neural Quantum States based on autoregressive recurrent neural network (RNN) wave functions enable efficient sampling without Markov-chain autocorrelation, but standard RNN architectures are biased toward finite-length correlations and can…

Quantum Physics · Physics 2026-04-13 Asif Bin Ayub , Amine Mohamed Aboussalah , Mohamed Hibat-Allah

Recent advancements in artificial neural networks have enabled impressive tasks on classical computers, but they demand significant computational resources. While quantum computing offers potential beyond classical systems, the advantages…

Quantum Physics · Physics 2024-12-12 Erik Connerty , Ethan Evans , Gerasimos Angelatos , Vignesh Narayanan

Projected variational wavefunctions such as the Gutzwiller, many-body correlator and Jastrow ansatzes have provided crucial insight into the nature of superfluid-Mott insulator transition in the Bose Hubbard model (BHM) in two or more…

Quantum Gases · Physics 2024-10-08 Michael Y. Pei , Stephen R. Clark

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

Essentials of the scientific discovery process have remained largely unchanged for centuries: systematic human observation of natural phenomena is used to form hypotheses that, when validated through experimentation, are generalized into…

Disordered Systems and Neural Networks · Physics 2019-06-21 Yi Zhang , A. Mesaros , K. Fujita , S. D. Edkins , M. H. Hamidian , K. Ch'ng , H. Eisaki , S. Uchida , J. C. Séamus Davis , E. Khatami , Eun-Ah Kim

Machine learning advances chemistry and materials science by enabling large-scale exploration of chemical space based on quantum chemical calculations. While these models supply fast and accurate predictions of atomistic chemical…

Chemical Physics · Physics 2019-06-25 K. T. Schütt , M. Gastegger , A. Tkatchenko , K. -R. Müller , R. J. Maurer

Most chemical processes, such as distillation, absorption, extraction, and catalytic reactions, are extremely complex processes that are affected by multiple factors. The relationships between their input variables and output variables are…

Systems and Control · Electrical Eng. & Systems 2021-10-19 Li Sun , Fei Liang , Wutai Cui

It is believed that one of the first useful applications for a quantum computer will be the preparation of groundstates of molecular Hamiltonians. A crucial task involving state preparation and readout is obtaining physical observables of…

Quantum neural network (QNN) is one of the promising directions where the near-term noisy intermediate-scale quantum (NISQ) devices could find advantageous applications against classical resources. Recurrent neural networks are the most…

The eigenvalue problem of quantum many-body systems is a fundamental and challenging subject in condensed matter physics, since the dimension of the Hilbert space (and hence the required computational memory and time) grows exponentially as…

Disordered Systems and Neural Networks · Physics 2021-05-12 Chen-Yu Liu , Daw-Wei Wang

Due to the complexity of the space of quantum many-body states the computation of expectation values by statistical sampling is, in general, a hard task. Neural network representations of such quantum states which can be physically…

Quantum Physics · Physics 2019-12-04 Stefanie Czischek , Jan M. Pawlowski , Thomas Gasenzer , Martin Gärttner

We design a neural network Ansatz for variationally finding the ground-state wave function of the Homogeneous Electron Gas, a fundamental model in the physics of extended systems of interacting fermions. We study the spin-polarised and…

Classifying many-body quantum states with distinct properties and phases of matter is one of the most fundamental tasks in quantum many-body physics. However, due to the exponential complexity that emerges from the enormous numbers of…

We conduct experimental simulations of many body quantum systems using a \emph{hybrid} classical-quantum algorithm. In our setup, the wave function of the transverse field quantum Ising model is represented by a restricted Boltzmann…

Quantum Physics · Physics 2018-12-05 Bartłomiej Gardas , Marek M. Rams , Jacek Dziarmaga
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