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DOE OSTI · 2530986

Fermion determinants on a quantum computer

Fleming, George T. (ORCID:0000000249877167)·Shyamsundar, Prasanth (ORCID:0000000227489091)·Unmuth-Yockey, Judah (ORCID:0000000199627134)
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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 . Published by the American Physical Society 2025

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Fleming, George T. (ORCID:0000000249877167), Shyamsundar, Prasanth (ORCID:0000000227489091), Unmuth-Yockey, Judah (ORCID:0000000199627134). 2025-03-17. Fermion determinants on a quantum computer. https://doi.org/10.1103/physrevd.111.054509

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