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

Understand

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.