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Gaussian quantum Monte Carlo

Gaussian Quantum Monte Carlo is a quantum Monte Carlo method that shows a potential solution to the fermion sign problem without the deficiencies of alternative approaches. Instead of the Hilbert space, this method works in the space of density matrices that can be spanned by an over-complete basis of gaussian operators using only positive coefficients. Containing only quadratic forms of the fermionic operators, no anti-commuting variables occur and any quantum state can be expressed as a real probability distribution.


  • [1] J. F. Corney and P. D. Drummond, Phys. Rev. Lett. 93, 260401 (2004)
  • [2] F. F. Assaad, P. Werner, P. Corboz, E. Gull and M. Troyer, Phys. Rev. B 72, 224518 (2005)
This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Gaussian_quantum_Monte_Carlo". A list of authors is available in Wikipedia.
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