Continuous-variable teleportation in the characteristic-function description

Abstract

We give a description of the continuous-variable teleportation protocol in terms of the characteristic functions of the quantum states involved. The Braunstein--Kimble protocol is written for an unbalanced homodyne measurement and arbitrary input and resource states. We show that the output of the protocol is a superposition between the input one-mode field and a classical one induced by measurement and classical communication. We choose to describe the input state distortion through teleportation by the average photon number of the measurement-induced field. Only in the case of symmetric resource states we find a relation between the optimal added noise and the minimal EPR correlations used to define inseparability.

12 pages

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• Enhancing Continuous Variable Quantum Teleportation using Non-Gaussian Resources
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• Protecting Classical-Quantum Signals in Free Space Optical Channels
• Optomagnonic continuous-variable quantum teleportation enhanced by non-Gaussian distillation