  An example is given of an interaction that produces an infinite amount of
entanglement in an infinitely short time, but only a finite amount in longer
times. The interaction arises from a standard Kerr nonlinearity and a 50/50
beamsplitter, and the initial state is a coherent state. For certain finite
interaction times multi-dimensional generalizations of entangled coherent
states are generated, for which we construct a teleportation protocol.
Similarities between probabilistic teleportation and unambiguous state
discrimination are pointed out.
