Quantum Random Access Code in Noisy Channels

TL;DR

This paper investigates the performance of quantum random access codes in noisy channels, demonstrating how semi-definite programming can optimize and mitigate noise effects to maintain quantum advantage over classical codes.

Contribution

It extends prior work by analyzing noise impacts on QRAC and introduces an optimization method to counteract noise effects using semi-definite programming.

Findings

QRAC outperforms CRAC in noise-free conditions

Noise degrades QRAC performance, but optimization mitigates this effect

Semi-definite programming effectively enhances QRAC robustness

Abstract

Random access code (RAC) communication protocol particularly useful when the communication between parties is restricted. In this work we built upon works that have previously proven quantum random access code (QRAC), in the absence of noise, to be more advantageous than classical random access code (CRAC), investigate the effects of noisy channel on QRAC performance and how the losses can be mitigated by using the see-saw method optimized by semi-definite programming when the noisy channel is known.