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The resemblance between the methods used in quantum-many body physics and in machine learning has drawn considerable attention. In particular, tensor networks (TNs) and deep learning architectures bear striking similarities to the extent…

A nuclear model is proposed where the nucleons interact by emitting and absorbing mesons, and where the mesons are treated explicitly. A nucleus in this model finds itself in a quantum superposition of states with different number of…

核理论 · 物理学 2021-02-02 D. V. Fedorov

We generalize the hidden-fermion family of neural network quantum states to encompass both continuous and discrete degrees of freedom and solve the nuclear many-body Schr\"odinger equation in a systematically improvable fashion. We…

核理论 · 物理学 2022-06-22 A. Lovato , C. Adams , G. Carleo , N. Rocco

Motivated by the recent successful application of artificial neural networks to quantum many-body problems [G. Carleo and M. Troyer, Science {\bf 355}, 602 (2017)], a method to calculate the ground state of the Bose-Hubbard model using a…

无序系统与神经网络 · 物理学 2017-08-01 Hiroki Saito

Deep neural networks are a powerful technique that have found ample applications in several branches of Physics. In this work, we apply machine learning algorithms to a specific problem of Cosmic Ray Physics: the estimation of the muon…

天体物理仪器与方法 · 物理学 2019-04-10 A. Guillen , A. Bueno , J. M. Carceller , J. C. Martinez-Velazquez , G. Rubio , C. J. Todero Peixoto , P. Sanchez-Lucas

Artificial intelligence and machine learning paves the way to achieve greater technical feats. In this endeavor to hone these techniques, quantum machine learning is budding to serve as an important tool. Using the techniques of deep…

In this work we explore the application of deep neural networks to the optimization of atomic layer deposition processes based on thickness values obtained at different points of an ALD reactor. We introduce a dataset designed to train…

机器学习 · 计算机科学 2024-06-19 Angel Yanguas-Gil , Jeffrey W. Elam

Deep quantum neural networks may provide a promising way to achieve quantum learning advantage with noisy intermediate scale quantum devices. Here, we use deep quantum feedforward neural networks capable of universal quantum computation to…

量子物理 · 物理学 2020-08-14 Zidu Liu , L. -M. Duan , Dong-Ling Deng

We present herein a new approach based on the simultaneous application of the deep learning and statistical physics methods to solve the combinatorial optimization problems. The recent modern advanced techniques, such as an artificial…

无序系统与神经网络 · 物理学 2019-11-26 Semyon Sinchenko , Dmitry Bazhanov

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…

无序系统与神经网络 · 物理学 2019-10-24 Joseph Gomes , Keri A. McKiernan , Peter Eastman , Vijay S. Pande

We demonstrate that a committee of deep neural networks is capable of predicting the ground-state and excited energies of more than 1800 atomic nuclei with an accuracy akin to the one achieved by state-of-the-art nuclear energy density…

核理论 · 物理学 2020-04-29 R. -D. Lasseri , D. Regnier , J. -P. Ebran , A. Penon

We discuss a methodology of machine learning to deduce the neutron star equation of state from a set of mass-radius observational data. We propose an efficient procedure to deal with a mapping from finite data points with observational…

核理论 · 物理学 2018-08-08 Yuki Fujimoto , Kenji Fukushima , Koichi Murase

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…

量子物理 · 物理学 2025-01-13 Johannes Mellak , Enrico Arrigoni , Wolfgang von der Linden

Artificial neural networks have been recently introduced as a general ansatz to compactly represent many- body wave functions. In conjunction with Variational Monte Carlo, this ansatz has been applied to find Hamil- tonian ground states and…

强关联电子 · 物理学 2018-10-24 Kenny Choo , Giuseppe Carleo , Nicolas Regnault , Titus Neupert

We discuss effective field theory treatments of the problem of three particles interacting via short-range forces. One case of such a system is neutron-deuteron scattering at low energies. We demonstrate that in attractive channels the…

核理论 · 物理学 2009-11-10 I. R. Afnan , Daniel R. Phillips

The challenge of quantum many-body problems comes from the difficulty to represent large-scale quantum states, which in general requires an exponentially large number of parameters. Recently, a connection has been made between quantum…

无序系统与神经网络 · 物理学 2017-11-01 Xun Gao , Lu-Ming Duan

The ground state energy of a many-electron system can be approximated by an variational approach in which the total energy of the system is minimized with respect to one and two-body reduced density matrices (RDM) instead of many-electron…

最优化与控制 · 数学 2017-09-01 Yongfeng Li , Zaiwen Wen , Chao Yang , Yaxiang Yuan

Deep learning has been the most popular machine learning method in the last few years. In this chapter, we present the application of deep learning and physics-informed neural networks concerning structural mechanics and vibration problems.…

机器学习 · 计算机科学 2022-02-23 Ehsan Haghighat , Ali Can Bekar , Erdogan Madenci , Ruben Juanes

Here we present a many-body theory based on a solution of the $N$-representability problem in which the ground-state two-particle reduced density matrix (2-RDM) is determined directly without the many-particle wave function. We derive an…

量子物理 · 物理学 2023-04-19 David A. Mazziotti

We develop a data-driven machine learning approach to identifying parameters with steady-state solutions, locating such solutions, and determining their linear stability for systems of ordinary differential equations and dynamical systems…

数值分析 · 数学 2025-03-11 Yimeng Zhang , Alexander Cloninger , Bo Li , Xiaochuan Tian