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Open Quantum Systems Decoherence
A solution of the Gaussian optimizer conjecture
arXiv
Authors: V. Giovannetti, A. S. Holevo, R. Garcia-Patron
Year
2013
Paper ID
31536
Status
Preprint
Abstract Read
~2 min
Abstract Words
94
Citations
N/A
Abstract
The long-standing conjectures of the optimality of Gaussian inputs for Gaussian channel and Gaussian additivity are solved for a broad class of covariant or contravariant Bosonic Gaussian channels (which includes in particular thermal, additive classical noise, and amplifier channels) restricting to the class of states with finite second moments. We show that the vacuum is the input state which minimizes the entropy at the output of such channels. This allows us to show also that the classical capacity of these channels (under the input energy constraint) is additive and is achieved by Gaussian encodings.
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- This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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- The long-standing conjectures of the optimality of Gaussian inputs for Gaussian channel and Gaussian additivity are solved for a broad class of covariant or contravariant...
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