Review on Quantum Computing for Lattice Field Theory
- URL: http://arxiv.org/abs/2302.00467v2
- Date: Wed, 9 Aug 2023 15:56:46 GMT
- Title: Review on Quantum Computing for Lattice Field Theory
- Authors: Lena Funcke, Tobias Hartung, Karl Jansen, Stefan K\"uhn
- Abstract summary: Quantum computing offers the prospect to simulate lattice field theories in parameter regimes that are largely inaccessible with the conventional Monte Carlo approach.
First proof-of-concept quantum computations of lattice gauge theories in (1+1) dimensions have been accomplished.
First resource-efficient quantum algorithms for lattice gauge theories in (1+1) and (2+1) dimensions have been developed.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- 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.
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