Information Geometric Superactivation of Asymptotic Quantum Capacity and Classical Zero-Error Capacity of Zero-Capacity Quantum Channels

TL;DR

This paper explores the phenomenon of superactivation in zero-capacity quantum channels, providing an algorithmic approach and linking it to information geometry, to better understand how two zero-capacity channels can jointly achieve positive capacity.

Contribution

It introduces an algorithmic solution to superactivation and establishes a theoretical connection between superactivation and information geometric principles.

Findings

Superactivation enables zero-capacity channels to achieve positive joint capacity.

The superactivation effect is rooted in information geometric issues.

An algorithmic approach to identify superactivation scenarios.

Abstract

The superactivation of zero-capacity quantum channels makes it possible to use two zero-capacity quantum channels with a positive joint capacity at the output. Currently, we have no theoretical background for describing all possible combinations of superactive zero-capacity channels; hence, there may be many other possible combinations. In this PhD Thesis I provide an algorithmic solution to the problem of superactivation and prove that superactivation effect is rooted in information geometric issues.