Polar Codes for Quantum Reading

TL;DR

This paper introduces polar codes for quantum reading, providing a method to optimize quantum channel discrimination with low complexity encoding and capacity-achieving protocols, ensuring exponential error decay.

Contribution

It presents a novel application of polar codes to quantum reading, characterizing channel rate, reliability, and optimal probe states for improved quantum channel discrimination.

Findings

Error probability decays exponentially with code length

Characterization of channel rate and reliability under polar encoding

Analysis of optimal quantum probe states

Abstract

Quantum reading provides a general framework where to formulate the statistical discrimination of quantum channels. Several paths have been taken for such a problem. However, there is much to be done in the avenue of optimizing channel discrimination using classical codes. At least two open questions can be pointed to: how to construct low complexity encoding schemes that are interesting for channel discrimination and, more importantly, how to develop capacity-achieving protocols. The aim of this paper is to present a solution to these questions using polar codes. Firstly, we characterize the rate and reliability of the channels under polar encoding. We also show that the error probability of the scheme proposed decays exponentially with respect to the code length. Lastly, an analysis of the optimal quantum states to be used as probes is given.