Abstract
We propose an efficient method to realize a scalable, high-speed quantum computer in a two-dimensional (2D) array of coupled cavities, based on coherent displacements of an arbitrary state of cavity fields in a closed phase space. Because the nontrivial geometric phase shifts fast accumulate between the qubits in nearest-neighbor cavities, a large-scale 2D cluster state can be created within a short time. We discuss the feasibility of our method for scalable solid-state quantum computation.
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