Coherent-state optical qudit cluster state generation and teleportation via homodyne detection
Abstract
Defining a computational basis of pseudo-number states, we interpret a coherent state of large amplitude, |α|d2π, as a qudit --- a d-level quantum system --- in a state that is an even superposition of d pseudo-number states. A pair of such coherent-state qudits can be prepared in maximally entangled state by generalized Controlled-Z operation that is based on cross-Kerr nonlinearity, which can be weak for large d. Hence, a coherent-state optical qudit cluster state can be prepared by repetitive application of the generalized Controlled-Z operation to a set of coherent states. We thus propose an optical qudit teleportation as a simple demonstration of cluster state quantum computation.
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