This paper by Braunstein and Kimble explores the teleportation of continuous quantum variables, extending previous work on discrete spin variables. The authors analyze the entanglement fidelity of the teleportation scheme, considering finite quantum correlations and nonideal detection efficiency. They present a protocol for teleporting the wave function of a single mode of the electromagnetic field with high fidelity using squeezed-state entanglement and current experimental capabilities. The protocol involves forming new variables, measuring observables, and transmitting classical information to the receiving station. The fidelity of entanglement is explicitly computed for the process acting on an infinite-dimensional Hilbert space. The authors also describe a realistic implementation using linear elements corresponding to operations in SU(1,1), which should operate at near unit efficiency. The paper includes a detailed analysis of the protocol's performance, demonstrating that existing experimental capabilities should be sufficient to teleport quantum or nonclassical states of the electromagnetic field with reasonable fidelity. The work is part of a broader program to extend classical communication with complex amplitudes into the quantum domain.This paper by Braunstein and Kimble explores the teleportation of continuous quantum variables, extending previous work on discrete spin variables. The authors analyze the entanglement fidelity of the teleportation scheme, considering finite quantum correlations and nonideal detection efficiency. They present a protocol for teleporting the wave function of a single mode of the electromagnetic field with high fidelity using squeezed-state entanglement and current experimental capabilities. The protocol involves forming new variables, measuring observables, and transmitting classical information to the receiving station. The fidelity of entanglement is explicitly computed for the process acting on an infinite-dimensional Hilbert space. The authors also describe a realistic implementation using linear elements corresponding to operations in SU(1,1), which should operate at near unit efficiency. The paper includes a detailed analysis of the protocol's performance, demonstrating that existing experimental capabilities should be sufficient to teleport quantum or nonclassical states of the electromagnetic field with reasonable fidelity. The work is part of a broader program to extend classical communication with complex amplitudes into the quantum domain.