Monte Carlo methods are a class of computational techniques that use random sampling to approximate solutions to mathematical and statistical problems that are analytically intractable. They typically involve defining a probabilistic model of the system or quantity of interest, drawing large numbers of independent samples from relevant distributions (often via pseudorandom number generators and sampling algorithms such as rejection sampling or Markov chain Monte Carlo), and estimating expectations, integrals, probabilities, or optimization objectives from the empirical distribution of outcomes. Accuracy improves with the number of samples, with convergence properties characterized by laws of large numbers and central limit theorems.
Although the potential applications of quantum computing are widespread, a new feasibility study suggests quantum computers still face major hurdles in solving quantum chemistry problems. The study, published in Physical ...
A new computational approach developed at the University of Chicago promises to shed light on some of the world's most puzzling materials—from high-temperature superconductors to solar cell semiconductors—by uniting two long-divided ...
Condensed Matter
Dec 15, 2025
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Strongly interacting systems play an important role in quantum physics and quantum chemistry. Stochastic methods such as Monte Carlo simulations are a proven method for investigating such systems. However, these methods reach ...
Quantum Physics
May 15, 2024
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Entanglement is a widely studied quantum physics phenomenon, in which two particles become linked in such a way that the state of one affects the state of another, irrespective of the distance between them. When studying ...
A research team led by Prof. Liu Changsong from the Hefei Institutes of Physical Science of the Chinese Academy of Sciences has developed a set of simulation software for accumulative displacement damage in nanocrystalline ...
Nanomaterials
Nov 4, 2022
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With highly specialized instruments, we can see materials on the nanoscale—but we can't see what many of them do. That limits researchers' ability to develop new therapeutics and new technologies that take advantage of their ...
Nanophysics
Feb 17, 2022
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