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| 経路積分モンテカルロ法× | Quantum Monte Carlo× | |
|---|---|---|
| 分野 | 量子コンピューティング | 量子コンピューティング |
| 系統 | Machine learning | Machine learning |
| 提唱年≠ | 1948 | 1953 |
| 提唱者≠ | Richard Feynman | Nicholas Metropolis and colleagues |
| 種類≠ | Stochastic simulation | Monte Carlo simulation |
| 原典≠ | Feynman, R. P. (1948). Space-time approach to non-relativistic quantum mechanics. Reviews of Modern Physics, 20, 367–387. DOI ↗ | Metropolis, N., Rosenbluth, A. W., et al. (1953). Equation of state calculations by fast computing machines. Journal of Chemical Physics, 21, 1087–1092. DOI ↗ |
| 別名≠ | PIMC, Feynman path integral | QMC, variational Monte Carlo, diffusion Monte Carlo |
| 関連 | 3 | 3 |
| 概要≠ | Path Integral Monte Carlo (PIMC) is a computational method for calculating thermodynamic and structural properties of quantum systems using Feynman's path integral formulation. Developed rigorously by David Ceperley and colleagues in the 1990s, PIMC treats quantum particles as classical polymers in a higher-dimensional space, enabling efficient Monte Carlo sampling of quantum statistics. | Quantum Monte Carlo (QMC) is a stochastic computational method for computing ground state properties of quantum many-body systems. Combining classical Monte Carlo sampling with quantum mechanics, QMC approaches are among the most accurate methods available for electronic structure and condensed matter physics, achieving sub-percent accuracy for many systems. |
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