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Defining a computational basis of pseudo-number states, we interpret acoherent state of large amplitude, $|\alpha|\gg\frac{d}{2\pi}$, 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 inmaximally entangled state by generalized Controlled-$Z$ operation that is basedon cross-Kerr nonlinearity, which can be weak for large $d$. Hence, acoherent-state optical qudit cluster state can be prepared by repetitiveapplication of the generalized Controlled-$Z$ operation to a set of coherentstates. We thus propose an optical qudit teleportation as a simpledemonstration of cluster state quantum computation.

Coherent-state optical qudit cluster state generation and teleportation via homodyne detection