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

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

2010-04-27

arxiv.org/abs/1004.4787v2

J. Phys. A: Math. Theor. 43 415305, (2010)

Physics

Quantum Physics

7 pages, updated version minor typos corrected

Scientific paper

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.

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