Composite-cluster states and alternative architectures for one-way quantum computation

We propose an alternative architecture for the measurement-based quantum computation model. This design relies on small composite light-atom primary clusters. These are then assembled into cluster arrays using ancillary light modes and the actual computation is run on such a cellular cluster. We show how to create the primary clusters, which are Gaussian cluster states composed of both light and atomic modes. These are entangled via QND interactions and beam splitters and the scheme is well described within the continuous-variable covariance matrix formalism.