Some more thoughts on universal AQCs.
It has been established that local lattice spin Hamiltonians can be used for universal adiabatic quantum computation. While the simplest quantum spin model, the 2-local Ising model with 1-local transverse field, was shown not to be universal, we demonstrate that it can be rendered universal and QMA-complete by adding a tunable 2-local transverse XX coupling. We also show the universality and QMA-completeness of spin models with only 1-local Z fields and 2-local ZX interactions. We present a real-valued adiabatic quantum Fourier transform and the experimental challenge of an adiabatic version of the Deutsch-Jozsa algorithm. The Hamiltonians we present are important to the field of quantum computation as they are realizable in a variety of experimental implementations.