Algorithmic Superactivation of Asymptotic Quantum Capacity of Zero-Capacity Quantum Channels

TL;DR

This paper introduces an efficient algorithmic method to identify superactive zero-capacity quantum channel pairs, enabling the use of otherwise useless channels for quantum communication and computation.

Contribution

The paper presents a novel, efficient algorithmic approach to discover superactivation in zero-capacity quantum channels, addressing a key gap in theoretical and practical analysis.

Findings

Developed an efficient algorithm for superactivation detection.

Facilitates improved quantum communication over noisy channels.

Enhances fault-tolerant quantum computation techniques.

Abstract

The superactivation of zero-capacity quantum channels makes it possible to use two zero-capacity quantum channels with a positive joint capacity for their output. Currently, we have no theoretical background to describe all possible combinations of superactive zero-capacity channels; hence, there may be many other possible combinations. In practice, to discover such superactive zero-capacity channel-pairs, we must analyze an extremely large set of possible quantum states, channel models, and channel probabilities. There is still no extremely efficient algorithmic tool for this purpose. This paper shows an efficient algorithmical method of finding such combinations. Our method can be a very valuable tool for improving the results of fault-tolerant quantum computation and possible communication techniques over very noisy quantum channels.