English

A note on improved stochastic trace estimation for fermionic string fluctuations

High Energy Physics - Lattice 2022-05-18 v2 High Energy Physics - Theory

Abstract

We report on the use of a stochastic trace estimator algorithm, based on mutually unbiased bases, for evaluating the trace of a matrix differential operator appearing in the context of lattice simulations for the discretized superstring worldsheet. A study of the variance, in a setup which is slightly modified with respect to the original one, confirms advantages with respect to more traditional methods like the Gaussian estimator.

Keywords

Cite

@article{arxiv.2112.12045,
  title  = {A note on improved stochastic trace estimation for fermionic string fluctuations},
  author = {Valentina Forini and Bjoern Leder and Nils Wauschkuhn},
  journal= {arXiv preprint arXiv:2112.12045},
  year   = {2022}
}

Comments

13 pages, 5 figures. Typos corrected, minor text changes

R2 v1 2026-06-24T08:28:16.801Z