Device-Independent Quantum Key Distribution Based on the Mermin-Peres Magic Square Game

TL;DR

This paper introduces a new device-independent quantum key distribution scheme based on the Mermin-Peres magic square game, which improves key rate performance under certain conditions compared to previous methods.

Contribution

The authors propose a novel DIQKD protocol utilizing the Mermin-Peres magic square game that achieves better efficiency with fewer game rounds under high noise conditions.

Findings

Outperforms CHSH-based DIQKD in game round efficiency

Achieves asymptotic security against collective attacks with noise

Requires high state visibility and detection efficiency

Abstract

Device-independent quantum key distribution (DIQKD) is information-theoretically secure against adversaries who possess a scalable quantum computer and who have supplied malicious key-establishment systems; however, the DIQKD key rate is currently too low. Consequently, we devise a DIQKD scheme based on the quantum nonlocal Mermin-Peres magic square game: our scheme asymptotically delivers DIQKD against collective attacks, even with noise. Our scheme outperforms DIQKD using the Clauser-Horne-Shimony-Holt game with respect to the number of game rounds, albeit not number of entangled pairs, provided that both state visibility and detection efficiency are high enough.