More examples of additivity violation of the regularized minimum output entropy in the commuting-operator setup

TL;DR

This paper extends previous research by identifying new classes of quantum channels that demonstrate violations of the additivity property for the regularized minimum output entropy within the commuting-operator framework.

Contribution

It introduces novel classes of channels that violate additivity, broadening understanding of entropy behavior in quantum information theory.

Findings

New classes of channels violating additivity identified

Violations occur in the commuting-operator setup

Generalization of previous results by Collins and Youn (2022)

Abstract

We generalize recent results of Collins and Youn (2022), presenting new classes of quantum channels violating the additivity of the regularized minimum output entropy in the commuting-operator setup.