Additivity of minimal entropy output for a class of covariant channels

Abstract

Additivity of minimal entropy output is proven for the class of quantum channels ${\Lambda }_t(A):=t{A}^T+(1-t)\tau (A)$ in the parameter range $-2/(d^2-2)\le t\le 1/(d+1)$.

10 pages

References in corpus (3)

• Remarks on the classical capacity of quantum channel
• A quantum channel with additive minimum output entropy
• Note on multiple additivity of minimal Renyi entropy output of the Werner-Holevo channels

Cited by in corpus (2)

• On Weyl channels being covariant with respect to the maximum commutative group of unitaries
• Simplification of additivity conjecture in quantum information theory