This paper presents a detailed analysis of quantum teleportation for continuous quantum variables, extending previous work on discrete (spin) variables. The authors compute the entanglement fidelity of the teleportation scheme, taking into account finite quantum correlations and nonideal detection efficiency. They propose 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 key idea is to use a highly squeezed two-mode state of the electromagnetic field as the entangled resource shared between Alice and Bob, with the quadrature amplitudes of the field playing the roles of position and momentum. The teleportation process involves forming new variables along paths, measuring observables corresponding to these variables, and transmitting the classical information to Bob. Bob then uses this information to construct the teleported state. The fidelity of the teleportation process is quantified using the entanglement fidelity, which is computed for an infinite-dimensional Hilbert space. The authors show that for large values of the squeezing parameter r, the teleported state closely resembles the original state, while for small r, the teleported state includes additional vacuum noise. The paper also discusses the implications of the protocol for experimental implementations, noting that current experimental capabilities should be sufficient to teleport manifestly quantum or nonclassical states of the electromagnetic field with reasonable fidelity. The authors highlight the importance of considering the quantum duty, which refers to the quantum characteristics that are preserved during the teleportation process. They also mention that further research is needed to extend the analysis to the teleportation of broad bandwidth information and to determine whether the proposed protocol is optimal with respect to various quantum communication criteria. The paper concludes by emphasizing the significance of extending classical communication with complex amplitudes into the quantum domain.This paper presents a detailed analysis of quantum teleportation for continuous quantum variables, extending previous work on discrete (spin) variables. The authors compute the entanglement fidelity of the teleportation scheme, taking into account finite quantum correlations and nonideal detection efficiency. They propose 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 key idea is to use a highly squeezed two-mode state of the electromagnetic field as the entangled resource shared between Alice and Bob, with the quadrature amplitudes of the field playing the roles of position and momentum. The teleportation process involves forming new variables along paths, measuring observables corresponding to these variables, and transmitting the classical information to Bob. Bob then uses this information to construct the teleported state. The fidelity of the teleportation process is quantified using the entanglement fidelity, which is computed for an infinite-dimensional Hilbert space. The authors show that for large values of the squeezing parameter r, the teleported state closely resembles the original state, while for small r, the teleported state includes additional vacuum noise. The paper also discusses the implications of the protocol for experimental implementations, noting that current experimental capabilities should be sufficient to teleport manifestly quantum or nonclassical states of the electromagnetic field with reasonable fidelity. The authors highlight the importance of considering the quantum duty, which refers to the quantum characteristics that are preserved during the teleportation process. They also mention that further research is needed to extend the analysis to the teleportation of broad bandwidth information and to determine whether the proposed protocol is optimal with respect to various quantum communication criteria. The paper concludes by emphasizing the significance of extending classical communication with complex amplitudes into the quantum domain.