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arXiv · 2407.13080

Fermion determinants on a quantum computer

George T. Fleming·Prasanth Shyamsundar·Judah Unmuth-Yockey
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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 $O(V\log(V))$ in the matrix dimension $V$.

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George T. Fleming, Prasanth Shyamsundar, Judah Unmuth-Yockey. 2024-07-18. Fermion determinants on a quantum computer. https://arxiv.org/abs/2407.13080

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