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arXiv · 2303.00094

Quantum mean estimation for lattice field theory

Erik J. Gustafson·Henry Lamm·Judah Unmuth-Yockey
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Abstract

We demonstrate the quantum mean estimation algorithm on Euclidean lattice field theories. This shows a quadratic advantage over Monte Carlo methods which persists even in presence of a sign problem, and is insensitive to critical slowing down. The algorithm is used to compute $π$ with and without a sign problem, a toy U(1) gauge theory model, and the Ising model. The effect of $R_{Z}$-gate synthesis errors on a future fault-tolerant quantum computer is investigated.

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Erik J. Gustafson, Henry Lamm, Judah Unmuth-Yockey. 2023-02-28. Quantum mean estimation for lattice field theory. https://doi.org/10.1103/physrevd.107.114511

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