Quantum Random Access Codes using Single $d$-level Systems

TL;DR

This paper investigates how high-level quantum systems can enhance the performance of random access codes, demonstrating significant advantages over classical methods through theoretical analysis and experimental validation.

Contribution

It introduces new high-level quantum RACs and provides an experimental demonstration, highlighting the increased advantage over classical RACs.

Findings

High-level quantum RACs outperform classical RACs in average performance.

Experimental realization of a four-level quantum RAC confirms theoretical predictions.

Quantum systems with higher levels significantly improve information retrieval capabilities.

Abstract

Random access codes (RACs) are used by a party to despite limited communication access an arbitrary subset of information held by another party. Quantum resources are known to enable RACs that break classical limitations. Here, we study quantum and classical RACs with high-level communication. We derive average performances of classical RACs and present families of high-level quantum RACs. Our results show that high-level quantum systems can significantly increase the advantage of quantum RACs over the classical counterparts. We demonstrate our findings in an experimental realization of a quantum RAC with four-level communication.