Zhang Jiang (Google, inc)
I will briefly introduce the current hardware at Google and their limitations. I will give examples on how to construct quantum circuits to simulate model Hamiltonians, such as the Fermi-Hubbard model and the Sachdev-Ye-Kitaev (SYK) model. Spatially local fermionic problems can become nonlocal after being mapped to qubit Hamiltonians. I will discuss how lattice gauge field theory can be used to construct mappings that conserve locality.