Note on multiple additivity of minimal Renyi entropy output of the Werner-Holevo channels

Abstract

We give an elementary self-contained proof that the minimal entropy output of arbitrary products of channels $\rho \mapsto \frac{1}{d-1}(1-{\rho }^T)$ is additive.

arXiv comment5 pages

References in corpus (2)

• Remarks on additivity of the Holevo channel capacity and of the entanglement of formation
• Remarks on the classical capacity of quantum channel

Cited by in corpus (5)

• Additivity of minimal entropy output for a class of covariant channels
• Simplification of additivity conjecture in quantum information theory
• Voronoi Diagrams for Quantum States and Its Application to a Numerical Estimation of a Quantum Channel Capacity
• Upper bounds on the leakage of private data and operational approach to markovianity
• Entanglement and ground states of gapped Hamiltonians