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Fermion determinants on a quantum computer
G. Fleming, P. Shyamsundar, J. Unmuth-Yockey·July 18, 2024·DOI: 10.1103/physrevd.111.054509
Physics
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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 O(Vlog(V)) in the matrix dimension V. Published by the American Physical Society 2025