Abstract
Constrained Hamiltonians are ubiquitous in fundamental physics, as any gauge theory – general relativity, electromagnetism, Yang–Mills, string theory – all result in such Hamiltonians. Unfortunately, implementing these Hamiltonians on digital quantum computers poses a number of difficulties, both theoretical and practical. In this talk, I will discuss our recent work on implementing 2+1 dimensional U(1) gauge theories onto quantum hardware. While this theory is not phenomenologically relevent to Standard Model physics, it is a fantastic toy model for non-Abelian gauge theories in higher dimensions. In particular, I will discuss the ways this theory demonstrates the many pitfalls of carrying out simulations of gauge theories in a resource-efficent manner.