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Quantum mean estimation for lattice field theory
- Source :
- Physical Review
- Publication Year :
- 2023
- Publisher :
- APS, 2023.
-
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 $\pi$ 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.<br />Comment: 14 pages, 18 figures
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Physical Review
- Accession number :
- edsair.doi.dedup.....d9f20cbc20c83e5c7ddb2bc423a22672