On estimating the output entropy of the tensor product of a phase-damping channel and an arbitrary channel
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We obtain a lower estimate for the output entropy of a tensor product of the quantum phase-damping channel and an arbitrary channel. We show that this estimate immediately implies that strong superadditivity of the output entropy holds for this channel as well as for the quantum depolarizing channel.
KeywordsTensor Product Information Transmission Quantum Channel Output Entropy Quantum Relative Entropy
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- 7.Amosov, G.G., Holevo, A.S., and Werner, R.F., On the Additivity Conjecture in Quantum Information Theory, Probl. Peredachi Inf., 2000, vol. 36, no. 4, pp. 25–34 [Probl. Inf. Trans. (Engl. Transl.), 2000, vol. 36, no. 4, pp. 305–313].Google Scholar