Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

USSR Computational Mathematics and Mathematical Physics

The Monte-Carlo method in Feynman's formulation of quantum statistics

V. M. Zamalin, Genri E. Norman

Published Jan 1, 1973• 25 citations
Publisher
DOI
10.1016/0041-5553(73)90139-0

Related papers

General Review of Quantum Statistical Monte Carlo Methods

Masuo Suzuki

Springer series in solid-state sciences•Jan 1, 1987•7 citations

Clock quantum Monte Carlo technique: An imaginary-time method for real-time quantum dynamics

Jarrod R. McClean, Alán Aspuru‐Guzik

In quantum information theory, there is an explicit mapping between general unitary dynamics and Hermitian ground-state eigenvalue problems known as the Feynman-Kitaev clock Hamiltonian. A prominent family of methods for the study of quantum ground states is quantum Monte Carlo methods, and recently the full configuration interaction quantum Monte Carlo (FCIQMC) method has demonstrated great promise for practical systems. We combine the Feynman-Kitaev clock Hamiltonian with FCIQMC to formulate a technique for the study of quantum dynamics problems. Numerical examples using quantum circuits are provided as well as a technique to further mitigate the sign problem through time-dependent basis rotations. Moreover, this method allows one to combine the parallelism of Monte Carlo techniques with the locality of time to yield an effective parallel-in-time simulation technique.

arXiv:1410.1877•Physical Review A•Jan 9, 2015•20 citations

An Introduction to Quantum Monte Carlo

Jan Tobochnik, Harvey Gould, Kenneth Mulder

Computers in Physics•Jul 1, 1990•4 citations

The basics of quantum Monte Carlo

Lucas K. Wagner, Jeffrey C. Grossman, Jeffrey B. Neaton

•Jun 15, 2007•0 citations

The harmonic oscillator at finite temperature using path integrals

Åsmund Larsen, F. Ravndal

The statistical mechanics of a quantum harmonic oscillator can easily be formulated in terms of Feynman path integrals in imaginary time. By straightforward integrations, the partition function, the internal energy, and correlation functions are found. When time is discretized, the same results can be obtained directly using Monte Carlo methods on a computer. In the zero temperature limit, the usual quantum mechanical results are recovered.

American Journal of Physics•Dec 1, 1988•4 citations

An introduction to quantum monte carlo methods

Anders W. Sandvik

Springer eBooks•Apr 6, 2008•2 citations
In quantum information theory, there is an explicit mapping between general unitary dynamics and Hermitian ground-state eigenvalue problems known as the Feynman-Kitaev clock Hamiltonian. A prominent family of methods for the study of quantum ground states is quantum Monte Carlo methods, and recently the full configuration interaction quantum Monte Carlo (FCIQMC) method has demonstrated great promise for practical systems. We combine the Feynman-Kitaev clock Hamiltonian with FCIQMC to formulate a technique for the study of quantum dynamics problems. Numerical examples using quantum circuits are provided as well as a technique to further mitigate the sign problem through time-dependent basis rotations. Moreover, this method allows one to combine the parallelism of Monte Carlo techniques with the locality of time to yield an effective parallel-in-time simulation technique.