Fidelity of Gaussian channels

Physics – Quantum Physics

Scientific paper

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Based on invited talk given by KW at XXXVI Symposium on Mathematical Physics, "Open Systems and Quantum Information," Torun, P

Scientific paper

A noisy Gaussian channel is defined as a channel in which an input field mode is subjected to random Gaussian displacements in phase space. We introduce the quantum fidelity of a Gaussian channel for pure and mixed input states, and we derive a universal scaling law of the fidelity for pure initial states. We also find the maximum fidelity of a Gaussian channel over all input states. Quantum cloning and continuous-variable teleportation are presented as physical examples of Gaussian channels to which the fidelity results can be applied.

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