On estimating the output entropy of a tensor product of the quantum phase-damping channel with an arbitrary channel

Abstract

We obtained the estimation from below for the output entropy of a tensor product of the quantum phase-damping channel with an arbitrary channel. It is shown that from this estimation immediately follows that the strong superadditivity of the output entropy holds for this channel as well as for the quantum depolarizing channel.

11 pages

References in corpus (3)

• Superadditivity of communication capacity using entangled inputs
• On Weyl channels being covariant with respect to the maximum commutative group of unitaries
• The strong superadditivity conjecture holds for the quantum depolarizing channel in any dimension