Fermion determinants on a quantum computer
High Energy Physics - Lattice
2024-07-19 v1 Quantum Physics
Abstract
We present a quantum algorithm to compute the logarithm of the determinant of the fermion matrix, assuming access to a classical lattice gauge field configuration. The algorithm uses the quantum eigenvalue transform, and quantum mean estimation, giving a query complexity that scales like in the matrix dimension .
Keywords
Cite
@article{arxiv.2407.13080,
title = {Fermion determinants on a quantum computer},
author = {George T. Fleming and Prasanth Shyamsundar and Judah Unmuth-Yockey},
journal= {arXiv preprint arXiv:2407.13080},
year = {2024}
}
Comments
13 pages, 12 figures, one table