Event details
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 relevant 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-efficient manner.