Strategies for the Determination of the Running Coupling of $(2+1)$-dimensional QED with Quantum Computing

Understand

We propose to utilize NISQ-era quantum devices to compute short distance quantities in $(2+1)$-dimensional QED and to combine them with large volume Monte Carlo simulations and perturbation theory.

• On the quantum computing side, we perform a calculation of the mass gap in the small and intermediate regime, demonstrating, in the latter case, that it can be resolved reliably.
• The so obtained mass gap can be used to match corresponding results from Monte Carlo simulations, which can be used eventually to set the physical scale.
• In this paper we provide the setup for the quantum computation and show results for the mass gap and the plaquette expectation value.