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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…

Quantum Physics · Physics 2023-11-02 Yangjun Wu , Chu Guo , Yi Fan , Pengyu Zhou , Honghui Shang

Due to their immense representative power, neural network quantum states (NQS) have gained significant interest in current research. In recent advances in the field of NQS, it has been demonstrated that this approach can compete with…

Disordered Systems and Neural Networks · Physics 2024-10-21 Fabian Döschl , Felix A. Palm , Hannah Lange , Fabian Grusdt , Annabelle Bohrdt

In recent years, the neural-network quantum states method has been investigated to study the ground state and the time evolution of many-body quantum systems. Here we expand on the investigation and consider a quantum quench from the…

Quantum Physics · Physics 2024-06-06 Wenxuan Zhang , Bo Xing , Xiansong Xu , Dario Poletti

The challenge posed by the many-body problem in quantum physics originates from the difficulty of describing the non-trivial correlations encoded in the exponential complexity of the many-body wave function. Here we demonstrate that…

Disordered Systems and Neural Networks · Physics 2017-02-13 Giuseppe Carleo , Matthias Troyer

Achieving precise preparation of quantum many-body states is crucial for the practical implementation of quantum computation and quantum simulation. However, the inherent challenges posed by unavoidable excitations at critical points during…

Quantum Physics · Physics 2024-05-01 Meng-Yun Mao , Zheng Cheng , Liangsheng Li , Ning Wu , Wen-Long You

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

A dynamical quantum phase transition can occur during time evolution of sudden quenched quantum systems across a phase transition. It corresponds to the nonanalytic behavior at a critical time of the rate function of the quantum state…

Quantum Physics · Physics 2019-05-14 Xue-Yi Guo , Chao Yang , Yu Zeng , Yi Peng , He-Kang Li , Hui Deng , Yi-Rong Jin , Shu Chen , Dongning Zheng , Heng Fan

State-of-the-art quantum simulators permit local temporal control of interactions and midcircuit readout. These capabilities open the way towards the exploration of intriguing nonequilibrium phenomena. We illustrate this with a kinetically…

Quantum Physics · Physics 2025-06-12 Marcel Cech , María Cea , Mari Carmen Bañuls , Igor Lesanovsky , Federico Carollo

Real-time computation of time-dependent quantum mechanical problems are presented for nuclear many-body problems. Quantum tunneling in nuclear fusion at low energy is described using a time-dependent wave packet. A real-time method of…

Nuclear Theory · Physics 2013-10-16 Takashi Nakatsukasa

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 Schwinger Model from Quantum Electrodynamics (QED) has long served as a valuable simplified model for exploring key physical phenomena in Quantum Chromodynamics (QCD)-a field rich with fundamental insights but is substantially more…

Quantum Physics · Physics 2025-09-25 Ao-Ning Wang , Min-Quan He , Z. D. Wang

Recent advances in neural network quantum states (NQS) have enabled high-accuracy predictions for complex quantum many-body systems such as strongly correlated electron systems. However, the computational cost remains prohibitive, making…

Strongly Correlated Electrons · Physics 2025-05-02 Kimihiro Yamazaki , Takuya Konishi , Yoshinobu Kawahara

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

Neural quantum states (NQS) are a novel class of variational many-body wave functions that are very flexible in approximating diverse quantum states. Optimization of an NQS ansatz requires sampling from the corresponding probability…

Strongly Correlated Electrons · Physics 2021-09-15 Andrey A. Bagrov , Askar A. Iliasov , Tom Westerhout

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 environment can be well approximated by a Markovian master…

Quantum Physics · Physics 2019-07-03 Michael J. Hartmann , Giuseppe Carleo

Solving quantum many-body problems is one of the fundamental challenges in quantum chemistry. While neural network quantum states (NQS) have emerged as a promising computational tool, its training process incurs exponentially growing…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-01 Hongtao Xu , Zibo Wu , Mingzhen Li , Weile Jia

Neural quantum states have recently demonstrated significant potential for simulating quantum dynamics beyond the capabilities of existing variational ans\"{a}tze. However, studying strongly driven quantum dynamics with neural networks has…

Quantum Physics · Physics 2025-12-22 Hrvoje Vrcan , Johan H. Mentink

Neural-network quantum states (NQS) have been shown to be a suitable variational ansatz to simulate out-of-equilibrium dynamics in two-dimensional systems using time-dependent variational Monte Carlo (t-VMC). In particular, stable and…

Strongly Correlated Electrons · Physics 2022-05-18 Damian Hofmann , Giammarco Fabiani , Johan H. Mentink , Giuseppe Carleo , Michael A. Sentef

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

One of the main challenges of quantum many-body physics is that the dimensionality of the Hilbert space grows exponentially with the system size, which makes it extremely difficult to solve the Schr\"{o}dinger equations of the system. But…

Quantum Physics · Physics 2019-03-29 Zhih-Ahn Jia , Biao Yi , Rui Zhai , Yu-Chun Wu , Guang-Can Guo , Guo-Ping Guo