Results 51 to 60 of about 926,631 (217)
A combined variational and diagrammatic quantum Monte Carlo approach to the many-electron problem
Nature Communications, 2019 Two of the most influential ideas developed by Richard Feynman are the Feynman diagram technique and his variational approach. Here we show that combining both, and introducing a diagrammatic quantum Monte Carlo method, results in a powerful and accurate
Kun Chen, K. Haule
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Quantum Computing Quantum Monte Carlo
Abstract Quantum computing and quantum Monte Carlo (QMC) are respectively the state-of-the-art quantum and classical computing methods for understanding many-body quantum systems. Here, we propose a hybrid quantum-classical algorithm that integrates these two methods, inheriting their distinct features in efficient representation and ...
Xiao Yuan +4 more
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Quantum Adversarial Learning in Emulation of Monte-Carlo Methods for Max-cut Approximation: QAOA is not optimal [PDF]
arXiv, 2022 One of the leading candidates for near-term quantum advantage is the class of Variational Quantum Algorithms, but these algorithms suffer from classical difficulty in optimizing the variational parameters as the number of parameters increases. Therefore, it is important to understand the expressibility and power of various ans\"atze to produce target ...
arxiv
Driven-dissipative quantum Monte Carlo method for open quantum systems [PDF]
Physical Review A, 2018 We develop a real-time Full Configuration Interaction Quantum Monte Carlo approach for the modeling of driven-dissipative open quantum systems. The method enables stochastic sampling of the Liouville-von-Neumann time evolution of the density matrix ...
A. Nagy, V. Savona
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Quantum Monte Carlo for vibrating molecules [PDF]
, 1996 Quantum Monte Carlo (QMC) has successfully computed the total electronic energies of atoms and molecules. The main goal of this work is to use correlation function quantum Monte Carlo (CFQMC) to compute the vibrational state energies of molecules given a potential energy surface (PES).
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Advances in Quantum Monte Carlo [PDF]
, 2006 Preface I. Accuracy and Precision of Quantum Monte Carlo Calculations 1. Correlated Sampling for Energy Differences in Diffusion Quantum Monte Carlo James B. Anderson 2. Population Control Bias with Applications to Parallel Diffusion Monte Carlo Jaron T. Krogel and David M. Ceperley 3.
Stuart M. Rothstein, James B. Anderson
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Phase Diagram of Hydrogen and a Hydrogen-Helium Mixture at Planetary Conditions by Quantum Monte Carlo Simulations. [PDF]
Physical Review Letters, 2017 Understanding planetary interiors is directly linked to our ability of simulating exotic quantum mechanical systems such as hydrogen (H) and hydrogen-helium (H-He) mixtures at high pressures and temperatures.
G. Mazzola, R. Helled, S. Sorella
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Quantum Monte Carlo Method for Attractive Coulomb Potentials [PDF]
, 2001 Starting from an exact lower bound on the imaginary-time propagator, we present a Path-Integral Quantum Monte Carlo method that can handle singular attractive potentials. We illustrate the basic ideas of this Quantum Monte Carlo algorithm by simulating the ground state of hydrogen and helium.
arxiv +1 more source
Population Monte Carlo algorithms [PDF]
Transactions of the Japanese Society for Artificial Intelligence
Vol.16 No.2, pp.279-286, 2000 We give a cross-disciplinary survey on ``population'' Monte Carlo algorithms. In these algorithms, a set of ``walkers'' or ``particles'' is used as a representation of a high-dimensional vector. The computation is carried out by a random walk and split/deletion of these objects.
arxiv +1 more source
Perturbatively Selected Configuration-Interaction Wave Functions for Efficient Geometry Optimization in Quantum Monte Carlo [PDF]
Journal of Chemical Theory and Computation, 2018 We investigate the performance of a class of compact and systematically improvable Jastrow–Slater wave functions for the efficient and accurate computation of structural properties, where the determinantal component is expanded with a perturbatively ...
M. Dash +3 more
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