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In recent years, neural network quantum states (NNQS) have emerged as powerful tools for the study of quantum many-body systems. Electronic structure calculations are one such canonical many-body problem that have attracted significant…

化学物理 · 物理学 2022-01-27 Thomas D. Barrett , Aleksei Malyshev , A. I. Lvovsky

We propose quantum-selected configuration interaction (QSCI), a class of hybrid quantum-classical algorithms for calculating the ground- and excited-state energies of many-electron Hamiltonians on noisy quantum devices. Suppose that an…

Neural quantum states (NQS) have emerged as a powerful ansatz for variational quantum Monte Carlo studies of strongly-correlated systems. Here, we apply recurrent neural networks (RNNs) and autoregressive transformer neural networks to the…

Variational optimization of neural-network representations of quantum states has been successfully applied to solve interacting fermionic problems. Despite rapid developments, significant scalability challenges arise when considering…

化学物理 · 物理学 2022-08-12 Tianchen Zhao , James Stokes , Shravan Veerapaneni

We present a quantum-classical hybrid algorithm for calculating the ground state and its energy of the quantum many-body Hamiltonian by proposing an adaptive construction of a quantum state for the quantum-selected configuration interaction…

量子物理 · 物理学 2024-12-12 Yuya O. Nakagawa , Masahiko Kamoshita , Wataru Mizukami , Shotaro Sudo , Yu-ya Ohnishi

Accurately estimating ground-state energies of quantum many-body systems is still a challenging computational task because of the exponential growth of the Hilbert space with the system size. Sample-based diagonalization (SBD) methods…

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…

Finding the ground-state energy of molecules is an important and challenging computational problem for which quantum computing can potentially find efficient solutions. The variational quantum eigensolver (VQE) is a quantum algorithm that…

量子物理 · 物理学 2023-02-15 Daniel Yoffe , Amir Natan , Adi Makmal

Neural-network quantum states (NQS) are powerful neural-network ans\"atzes that have emerged as promising tools for studying quantum many-body physics through the lens of the variational principle. These architectures are known to be…

无序系统与神经网络 · 物理学 2025-07-28 Jake McNaughton , Mohamed Hibat-Allah

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…

无序系统与神经网络 · 物理学 2021-05-12 Chen-Yu Liu , Daw-Wei Wang

Neural quantum states (NQS) provide a flexible and highly expressive parameterization of wave functions for strongly correlated problems in quantum chemistry. Despite rapid advances in network architectures, the evaluation of electronic…

化学物理 · 物理学 2026-02-16 Marco Julian Solanki , Lexin Ding , Markus Reiher

Neural network quantum states are a promising tool to analyze complex quantum systems given their representative power. It can however be difficult to optimize efficiently and effectively the parameters of this type of ansatz. Here we…

量子物理 · 物理学 2023-05-10 Wenxuan Zhang , Xiansong Xu , Zheyu Wu , Vinitha Balachandran , Dario Poletti

Artificial Neural Networks were recently shown to be an efficient representation of highly-entangled many-body quantum states. In practical applications, neural-network states inherit numerical schemes used in Variational Monte Carlo, most…

无序系统与神经网络 · 物理学 2020-01-22 Or Sharir , Yoav Levine , Noam Wies , Giuseppe Carleo , Amnon Shashua

Neural network quantum state (NNQS) has emerged as a promising candidate for quantum many-body problems, but its practical applications are often hindered by the high cost of sampling and local energy calculation. We develop a…

量子物理 · 物理学 2023-11-02 Yangjun Wu , Chu Guo , Yi Fan , Pengyu Zhou , Honghui Shang

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,…

量子物理 · 物理学 2024-12-18 Manas Sajjan , Vinit Singh , Sabre Kais

The ground state of second-quantized quantum chemistry Hamiltonians is key to determining molecular properties. Neural quantum states (NQS) offer flexible and expressive wavefunction ansatze for this task but face two main challenges:…

化学物理 · 物理学 2025-06-18 An-Jun Liu , Bryan K. Clark

A core technology that has emerged from the artificial intelligence revolution is the recurrent neural network (RNN). Its unique sequence-based architecture provides a tractable likelihood estimate with stable training paradigms, a…

无序系统与神经网络 · 物理学 2020-07-01 Mohamed Hibat-Allah , Martin Ganahl , Lauren E. Hayward , Roger G. Melko , Juan Carrasquilla

Determining the ground state of a many-body Hamiltonian is a central problem across physics, chemistry, and combinatorial optimization, yet it is often classically intractable due to the exponential growth of Hilbert space with system size.…

量子物理 · 物理学 2026-02-24 Jungyun Lee , Daniel K. Park

Quantum-selected configuration interaction (QSCI) utilizes an input quantum state on a quantum device to select important bases (electron configurations in quantum chemistry) that define a subspace in which to diagonalize a target…

量子物理 · 物理学 2025-10-22 Mathias Mikkelsen , Yuya O. Nakagawa

Quantum many-body physics simulation has important impacts on understanding fundamental science and has applications to quantum materials design and quantum technology. However, due to the exponentially growing size of the Hilbert space…

量子物理 · 物理学 2024-04-18 Zhuo Chen , Laker Newhouse , Eddie Chen , Di Luo , Marin Soljačić
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