Review on Quantum Computing for Lattice Field Theory

Funcke, Lena, Hartung, Tobias, Jansen, Karl and Kühn, Stefan (2023) Review on Quantum Computing for Lattice Field Theory. Proceedings of Science: The Proceedings of 39th International Symposium on Lattice Field Theory, LATTICE 2022 - Bonn, Germany, LATTIC. p. 228. ISSN 1824-8039

Abstract

In these proceedings, we review recent advances in applying quantum computing to lattice field theory. Quantum computing offers the prospect to simulate lattice field theories in parameter regimes that are largely inaccessible with the conventional Monte Carlo approach, such as the sign-problem afflicted regimes of finite baryon density, topological terms, and out-of-equilibrium dynamics. First proof-of-concept quantum computations of lattice gauge theories in (1+1) dimensions have been accomplished, and first resource-efficient quantum algorithms for lattice gauge theories in (1+1) and (2+1) dimensions have been developed. The path towards quantum computations of (3+1)-dimensional lattice gauge theories, including Lattice QCD, requires many incremental steps of improving both quantum hardware and quantum algorithms. After reviewing these requirements and recent advances, we discuss the main challenges and future directions.

Actions (login required)

Edit Item Edit Item