Review on Quantum Computing for Lattice Field Theory

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.

25 pages, 9 figures; Proceedings of the 39th International Symposium on Lattice Field Theory, 8th-13th August 2022, Rheinische Friedrich-Wilhelms-Universität Bonn, Germany

References in corpus (3)

• Applications of Machine Learning to Lattice Quantum Field Theory
• Sampling QCD field configurations with gauge-equivariant flow models
• Hamiltonian limit of lattice QED in 2+1 dimensions

Cited by in corpus (19)

• Machine Learning for Anomaly Detection in Particle Physics
• Simulating 2D lattice gauge theories on a qudit quantum computer
• Quantum and classical spin network algorithms for $q$-deformed Kogut-Susskind gauge theories
• Simulating (2+1)D SU(2) Yang-Mills Lattice Gauge Theory at finite density with tensor networks
• Computing the Mass Shift of Wilson and Staggered Fermions in the Lattice Schwinger Model with Matrix Product States
• Simple Hamiltonian for Quantum Simulation of Strongly Coupled 2+1D SU(2) Lattice Gauge Theory on a Honeycomb Lattice
• From square plaquettes to triamond lattices for SU(2) gauge theory
• Real-time scattering in the lattice Schwinger model
• Canonical Momenta in Digitized SU(2) Lattice Gauge Theory: Definition and Free Theory
• Tensor Networks for Lattice Gauge Theories beyond one dimension: a Roadmap
• Studying the phase diagram of the three-flavor Schwinger model in the presence of a chemical potential with measurement- and gate-based quantum computing
• Quantum Simulation of Bound State Scattering
• Enhancing Quantum Field Theory Simulations on NISQ Devices with Hamiltonian Truncation
• Parton Distribution Functions in the Schwinger model from Tensor Network States
• Identification of a natural fieldlike entanglement resource in trapped-ion chains
• Hamiltonian Lattice Formulation of Compact Maxwell-Chern-Simons Theory
• (2+1)D quantum electrodynamics at finite density on a quantum computer
• Flowing Through Hilbert Space: Quantum-Enhanced Generative Models for Lattice Field Theory
• The Lattice Schwinger Model and Its Quantum Simulation