Dihedral Lattice Gauge Theories on a Quantum Annealer

Abstract

We study lattice gauge theory with discrete, non-Abelian gauge groups. We extend the formalism of previous studies on D-Wave's quantum annealer as a computing platform to finite, simply reducible gauge groups. As an example, we use the dihedral group $D_n$ with $n=3,4$ on a two plaquette ladder for which we provide proof-of-principle calculations of the ground-state and employ the known time evolution formalism with Feynman clock states.

arXiv comment12 pages, 6 figures

References in corpus (15)

• Adiabatic Quantum Computing
• Quantum Simulation for High Energy Physics
• SU(2) non-Abelian gauge field theory in one dimension on digital quantum computers
• Simulating lattice gauge theories on a quantum computer
• A Trailhead for Quantum Simulation of SU(3) Yang-Mills Lattice Gauge Theory in the Local Multiplet Basis
• General Methods for Digital Quantum Simulation of Gauge Theories
• A resource efficient approach for quantum and classical simulations of gauge theories in particle physics
• Digital quantum simulation of lattice gauge theories in three spatial dimensions
• Quantum Simulation of Lattice Gauge Theories in more than One Space Dimension -- Requirements, Challenges, Methods
• Full Dyon Excitation Spectrum in Generalized Levin-Wen Models
• SU(2) lattice gauge theory on a quantum annealer
• Basic Elements for Simulations of Standard Model Physics with Quantum Annealers: Multigrid and Clock States
• Quantum Computing for Quantum Tunnelling
• Lattice Renormalization of Quantum Simulations
• Feynman's clock, a new variational principle, and parallel-in-time quantum dynamics

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