David Gosset: Small gaps, localization, and the quantum adiabatic algorithm
Abstract
Stoquastic Hamiltonians are the class of Hamiltonians that can be studied numerically using standard Quantum Monte Carlo methods--these are the Hamiltonians which do not suffer from the sign problem. These Hamiltonians can also be easier to study analytically because of their connection to nonnegative matrices. In the first part of this talk I will review the arsenal of analytic and numerical tools pertaining to stoquastic Hamiltonians. I will then discuss a variational lower bound for the ground state energy of these Hamiltonians.