Polar codes in network quantum information theory

TL;DR

This paper extends polar coding techniques to network quantum information theory, achieving optimal rate bounds for complex quantum channels without needing a quantum simultaneous decoder.

Contribution

It demonstrates that polar codes can be effectively applied to network quantum channels, achieving known rate bounds without a quantum simultaneous decoder.

Findings

Achieves best known inner bounds on rate regions for quantum multiple access and interference channels.

Shows polar codes can be used without a quantum simultaneous decoder.

Advances the development of network quantum information theory.

Abstract

Polar coding is a method for communication over noisy classical channels which is provably capacity-achieving and has an efficient encoding and decoding. Recently, this method has been generalized to the realm of quantum information processing, for tasks such as classical communication, private classical communication, and quantum communication. In the present work, we apply the polar coding method to network quantum information theory, by making use of recent advances for related classical tasks. In particular, we consider problems such as the compound multiple access channel and the quantum interference channel. The main result of our work is that it is possible to achieve the best known inner bounds on the achievable rate regions for these tasks, without requiring a so-called quantum simultaneous decoder. Thus, our work paves the way for developing network quantum information theory further without requiring a quantum simultaneous decoder.