Generalized minimal output entropy conjecture for one-mode Gaussian channels: definitions and some exact results
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Lloyd_Generalized minimal.pdf
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176.57 KB
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Author(s)
Giovannetti, Vittorio
Holevo, A. S.
Maccone, Lorenzo
Lloyd, Seth
Date Issued
October 2010
Journal
Journal of Physics A Mathematical and Theoretical
Publisher
IOP Publishing
Citation
Giovannetti, V et al. “Generalized Minimal Output Entropy Conjecture for One-mode Gaussian Channels: Definitions and Some Exact Results.” Journal of Physics A: Mathematical and Theoretical 43.41 (2010): 415305.
Version
Author's final manuscript
Abstract
A formulation of the generalized minimal output entropy conjecture for Gaussian channels is presented. It asserts that, for states with fixed input entropy, the minimal value of the output entropy of the channel (i.e. the minimal output entropy increment for fixed input entropy) is achieved by Gaussian states. In the case of centered channels (i.e. channels which do not add squeezing to the input state) this implies that the minimum is obtained by thermal (Gibbs) inputs. The conjecture is proved to be valid in some special cases.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
Massachusetts Institute of Technology. Research Laboratory of Electronics
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Creative Commons Attribution-Noncommercial-Share Alike 3.0
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DOI of Published Version
https://doi.org/10.1088/1751-8113/43/41/415305
