Generalized minimal output entropy conjecture for one-mode Gaussian channels: definitions and some exact results

@inproceedings{Giovannetti2010GeneralizedMO,
  title={Generalized minimal output entropy conjecture for one-mode Gaussian channels: definitions and some exact results},
  author={Vittorio Giovannetti and Alexander S. Holevo and Seth Lloyd and Lorenzo Maccone},
  year={2010}
}
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… CONTINUE READING

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References

Publications referenced by this paper.
SHOWING 1-10 OF 20 REFERENCES

Phys

M. M. Wolf, D. Perez-Garcia, G. Giedke
  • Rev. Lett. 98, 130501
  • 2007
VIEW 22 EXCERPTS
HIGHLY INFLUENTIAL

Phys

V. Giovannetti, S. Lloyd, L. Maccone, J. H. Shapiro, B. J. Yen
  • Rev. A 70, 022328
  • 2004
VIEW 6 EXCERPTS
HIGHLY INFLUENTIAL

Inf

C. H. Bennett, P. W. Shor, IEEE Trans
  • Theory 44, 2724
  • 1998
VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL

Nature Physics 5

M. B. Hastings
  • 255
  • 2009
VIEW 2 EXCERPTS

New J

F. Caruso, J. Eisert, V. Giovannetti, A. S. Holevo
  • Phys. 10 , 083030
  • 2008

Phys

F. Caruso, V. Giovannetti
  • Rev, A 74, 062307
  • 2006

Phys

M. M. Wolf, G. Giedke, J. K. Cirac
  • Rev. Lett. 96, 080502
  • 2006

Phys

A. Serafini, J. Eisert, M. M. Wolf
  • Rev. A 71 012320
  • 2005