Fermion determinants on a quantum computer
George Fleming, Prasanth Shyamsundar, Judah Unmuth-Yockey · Physical review. D/Physical review. D. · 2025
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 ( V log ( V ) ) in the matrix dimension V .