Speaker
Description
While Monte-Carlo-based simulations of lattice gauge theories have been remarkably successful across a wide range of applications, they typically break down in physical settings afflicted by the sign problem. One possible path for circumventing the sign problem is quantum simulation, which have shown substantial progress in the last years in simulating $(1+1)$- and $(2+1)$-dimensional theories. To date, however, these efforts have not been extended to $(3+1)$D theories exhibiting a sign problem. We present a path toward the simulation of $(3+1)$D U(1) lattice gauge theory with a topological $\theta$-term. Using an efficient mapping to a qudit quantum device, we estimate the resources needed for simulating a $2\times2\times2$ cube with periodic boundary conditions. Additionally, we discuss simplifications to the theory, offering a reduction of the potential gate depth while preserving the physically interesting properties of the theory.