Additivity of minimal entropy output for a class of covariant channels

TL;DR

This paper proves the additivity of minimal entropy output for a specific class of quantum channels within a certain parameter range, advancing understanding in quantum information theory.

Contribution

It establishes the additivity property for a new class of covariant quantum channels, extending previous results in quantum entropy analysis.

Findings

Additivity proven for channels with -2/(d^2-2) ≤ t ≤ 1/(d+1)

Extends known results to a broader class of covariant channels

Provides mathematical proof for entropy properties in quantum 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 $-2/(d^2-2)\le t \le 1/(d+1)$.