Programmable Hamiltonian for One-way Patterns

We construct a family of time-independent Hamiltonians which are able to perform universally programmable quantum computation. The construction is obtained via direct translation of one-way computer assembly language code into a Hamiltonian evolution. We also present how to evolve adiabatically to this Hamiltonian. It is hoped that this approach contributes further into the study of the structural relationship between measurement-based and adiabatic models of quantum computing.