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We study the Braunstein-Kimble protocol for the continuous variableteleportation of a coherent state. We determine lower and upper bounds for theoptimal fidelity of teleportation, maximized over all local Gaussian operationsfor a given entanglement of the two-mode Gaussian state shared by the sender(Alice) and the receiver (Bob). We also determine the optimal localtransformations at Alice and Bob sites and the corresponding maximum fidelitywhen one restricts to local trace-preserving Gaussian completely positive maps.

Optimal fidelity of teleportation of coherent states and entanglement