Fidelity of Gaussian Channels |
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Authors: | Email author" target="_blank">Carlton?M?CavesEmail author Krzysztof?Wódkiewicz |
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Affiliation: | (1) Department of Physics and Astronomy, University of New Mexico, Albuquerque, NM 87131-1156, USA;(2) Instytut Fizyki Teoretycznej, Uniwersytet Warszawski Warszawa, 00-681, Poland;(3) Department of Physics and Astronomy, University of New Mexico, Albuquerque, NM 87131-1156, USA |
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Abstract: | 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.Presented at the 36th Symposium on Mathematical Physics, “Open Systems & Quantum Information”, Toruń, Poland, June 9–12, 2004.Supported in part by US O.ce of Naval Research Grant No. N00014–03–1–0426.Supported in part by KBN Grant No. PBZ–Min–008/P03/03 |
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