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

TL;DR

This paper provides a straightforward proof demonstrating that the minimal entropy output of multiple Werner-Holevo channels, when combined, is additive, confirming a key property in quantum information theory.

Contribution

It offers an elementary, self-contained proof of the additivity of minimal Renyi entropy output for Werner-Holevo channels, simplifying previous complex demonstrations.

Findings

Proves additivity of minimal Renyi entropy output for Werner-Holevo channels

Simplifies the proof process with an elementary approach

Confirms a fundamental property in quantum channel theory

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.