Generalized minimal output entropy conjecture for one-mode Gaussian channels: definitions and some exact results
Author(s)
Giovannetti, Vittorio; Holevo, A. S.; Maccone, Lorenzo; Lloyd, Seth
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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.
Date issued
2010-10Department
Massachusetts Institute of Technology. Department of Mechanical Engineering; Massachusetts Institute of Technology. Research Laboratory of ElectronicsJournal
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
ISSN
1751-8113
1751-8121