Private Quantum Coding for Quantum Relay Networks

TL;DR

This paper demonstrates how to eliminate the probabilistic nature of relay encoders in quantum networks and combines quantum polar encoding with superactivation to enable reliable, capacity-achieving private communication over noisy quantum relay channels.

Contribution

It introduces a method to remove the probabilistic behavior of relay encoders and integrates quantum polar encoding with superactivation for improved quantum communication.

Findings

Probabilistic relay encoders can be made deterministic in quantum settings.

Quantum polar encoding combined with superactivation achieves reliable private communication.

The approach enables capacity-achieving communication over noisy quantum relay channels.

Abstract

The relay encoder is an unreliable probabilistic device which is aimed at helping the communication between the sender and the receiver. In this work we show that in the quantum setting the probabilistic behavior can be completely eliminated. We also show how to combine quantum polar encoding with superactivation-assistance in order to achieve reliable and capacity-achieving private communication over noisy quantum relay channels.