We present a gauge invariant digitization of $(1+1)\mathrm{d}$ scalar quantum electrodynamics for an arbitrary spin truncation for qudit-based quantum computers. We provide a construction of the Trotter operator in terms of a universal qudit-gate set. The cost savings of using a qutrit based spin-1 encoding versus a qubit encoding are illustrated. We show that a simple initial state could be simulated on current qutrit based hardware using noisy simulations for two different native gate set.

• Received 4 May 2021
• Accepted 13 May 2021

DOI:https://doi.org/10.1103/PhysRevD.103.114505