  The common spin Hamiltonians such as the Ising, XY, or Heisenberg model do
not have ground states that are the graph states needed in measurement-based
quantum computation. Various highly-entangled many-body states have been
suggested as a universal resource for this type of computation, however, it is
not easy to preserve these states in solid-state systems due to their short
coherence times. Here we propose a scheme for generating a Hamiltonian that has
a cluster state as ground state. Our approach employs a series of pulse
sequences inspired by established NMR techniques and holds promise for
applications in many areas of quantum information processing.
