Renormalized dual basis for scalable simulations of 2+1D compact quantum electrodynamics

Abstract

The classical and quantum simulation of lattice gauge theories (LGTs) with Lie groups is hindered by the infinite-dimensional Hilbert space of gauge degrees of freedom. In a recent work [Phys. Rev. X 15, 031065 (2025)], we introduced a new truncation scheme -- here renamed as Renormalized Dual Basis (RDB) -- based on the resolution of the single-plaquette problem, and demonstrated its performance for SU(2) LGTs. In this paper, we apply the RDB to compact quantum electrodynamics (cQED) in three spacetime dimensions (2+1D). We variationally determine the ground state of the theory for small lattices with periodic (for pure gauge) and open (in presence of fermionic matter) boundary conditions, achieving improved precision for the plaquette operator compared to previous approaches. By leveraging tensor networks, we extend the study to larger lattices and demonstrate the scalability of the method. Overall, we show that the RDB provides an efficient description across all coupling regimes.

9 pages + 11 pages appendix/references, 8 figures

References in corpus (8)

• Probing many-body dynamics on a 51-atom quantum simulator
• Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
• Classical simulation of infinite-size quantum lattice systems in two spatial dimensions
• Tensor Networks for Lattice Gauge Theories with continuous groups
• Quantum simulation of the Schwinger model: A study of feasibility
• Lattice Gauge Tensor Networks
• Discrete Abelian Gauge Theories for Quantum Simulations of QED
• Digitising SU(2) Gauge Fields and the Freezing Transition

Cited by in corpus (1)

• (2+1)D quantum electrodynamics at finite density on a quantum computer