A solution of the Gaussian optimizer conjecture
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About this item
| Description: |
Garcia-Patron, R (Max-Planck-Institut für Quantenoptik)
Tuesday 17 December 2013, 14:00-15:00 |
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| Created: | 2014-09-29 11:48 |
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| Collection: | Mathematical Challenges in Quantum Information |
| Publisher: | Isaac Newton Institute |
| Copyright: | Garcia-Patron, R |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| 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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