On the additivity of the minimum output entropy

TL;DR

This paper proves that for real finite-dimensional Hilbert spaces, the minimum output entropy of quantum channels always exhibits additivity, simplifying the analysis of quantum information transmission.

Contribution

It establishes the additivity of minimum output entropy specifically for real finite-dimensional Hilbert spaces, a case previously unresolved.

Findings

Additivity holds for real finite-dimensional Hilbert spaces.

Simplifies analysis of quantum channel capacities in this setting.

Provides theoretical foundation for quantum information theory in real spaces.

Abstract

It is shown that for real finite dimensional Hilbert spaces the additivity property of the minimum output entropy for quantum channels is always true.