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

Recent advances in computational

A REMEDY FOR THE NEGATIVE SIGN PROBLEM IN THE AUXILIARY FIELD QUANTUM MONTE CARLO METHOD

Yoshihiro Asai

Published Feb 1, 2002• 0 citations
Publisher
DOI
10.1142/9789812775696_0004

Related papers

QUANTUM MONTE CARLO SIMULATION BY AUXILIARY FIELDS

Sandro Sorella

WORLD SCIENTIFIC eBooks•Dec 1, 1993•0 citations

Defeating The Sign Problem in the Auxiliary-Field Monte Carlo Method for Nuclear Structure: Level Densities and Other Properties

Erich Ormand, G. Stoitcheva

APS•Oct 1, 2007•0 citations

NEGATIVE WEIGHTS IN QUANTUM MONTE CARLO SIMULATIONS AT FINITE-TEMPERATURES USING THE AUXILIARY FIELD METHOD

James E. Gubernatis, X.Y. ZHANG

We study the conditions under which negative weights (the sign problem) can exist in the finite-temperature, auxiliary field, quantum Monte Carlo algorithm of Blankenbecler, Scalapino, and Sugar. We specifically consider whether the sign problem arises from round-off error resulting from operations involving very ill-conditioned matrices or from topological defects in the auxiliary fields mirroring the space-time patterns of the physical fields. While we demonstrate these situations can generate negative weights, the results of our numerical tests suggest that these factors are most likely not the dominant sources of the problem. We also argue that the negative weights should not be considered as just a fermion problem. If it exists for the fermion problem, it will also exist for an analogous boson problem.

International Journal of Modern Physics C•Jun 1, 1994•5 citations

QUANTUM MONTE CARLO METHOD APPLIED TO STRONGLY CORRELATED DILUTE FERMI GASES WITH FINITE EFFECTIVE RANGE

Gabriel Wlazłowski, Piotr Magierski

We discuss the Auxiliary Field Quantum Monte Carlo (AFQMC) method applied to dilute neutron matter at finite temperatures. We formulate the discrete Hubbard-Stratonovich transformation for the interaction with finite effective range which is free from the sign problem. The AFQMC results are compared with those obtained from exact diagonalization for a toy model. Preliminary calculations of energy and chemical potential as a function of temperature are presented.

arXiv:0812.0883•International Journal of Modern Physics E•Apr 1, 2009•4 citations

Reweighting method for quantum Monte Carlo simulations with the negative-sign problem

秀稔 西森, Hidetoshi Nishimori

•Oct 1, 1992•0 citations

Representation basis in quantum Monte Carlo calculations and the negative-sign problem

Naomichi Hatano, Masuo Suzuki

Physics Letters A•Mar 1, 1992•29 citations
We study the conditions under which negative weights (the sign problem) can exist in the finite-temperature, auxiliary field, quantum Monte Carlo algorithm of Blankenbecler, Scalapino, and Sugar. We specifically consider whether the sign problem arises from round-off error resulting from operations involving very ill-conditioned matrices or from topological defects in the auxiliary fields mirroring the space-time patterns of the physical fields. While we demonstrate these situations can generate negative weights, the results of our numerical tests suggest that these factors are most likely not the dominant sources of the problem. We also argue that the negative weights should not be considered as just a fermion problem. If it exists for the fermion problem, it will also exist for an analogous boson problem.