Preserving universal resources for one-way quantum computing

The common spin Hamiltonians such as the Ising, XY, and Heisenberg models do not have eigenstates that are suitable resources for 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. To solve this problem, we propose a scheme for generating a Hamiltonian that has a cluster state as a 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.