On n-partite superactivation of quantum channel capacities

TL;DR

This paper explores the phenomenon of superactivation in quantum channel capacities involving more than two channels, providing explicit examples and discussing implications in quantum measurement contexts.

Contribution

It generalizes superactivation to n>2 channels and constructs explicit examples for the 1-shot quantum zero-error capacity with three channels.

Findings

Explicit example of superactivation for three channels

Implications for quantum measurement interpretations

Generalization of superactivation beyond two channels

Abstract

A generalization of the superactivation of quantum channel capacities to the case of n>2 channels is considered. An explicit example of such superactivation for the 1-shot quantum zero-error capacity is constructed for n=3. Some implications of this example and its reformulation on terms of quantum measurements are described.