Device-Independent Quantum Secret Sharing Protocol Enhanced by Advantage Distillation

TL;DR

This paper extends advantage distillation to three-party device-independent quantum secret sharing, improving noise tolerance and secure communication distance through redesigned procedures and numerical validation.

Contribution

It introduces a systematic extension of advantage distillation to three-party DI-QSS, enhancing robustness and practicality against noise and loss.

Findings

Maximum secure distance increased from 0.16 km to 1.85 km

Noise tolerance improved from 10.17% to 28.49%

Enhanced protocol robustness and practicality

Abstract

Device-independent quantum secret sharing (DI-QSS) provides high security by eliminating the need to trust devices, yet its practical performance is limited by channel loss and noise. This work extends advantage distillation from two-party quantum key distribution (QKD) to three-party DI-QSS, redesigning the corresponding data interaction and verification procedures. The technique is systematically applied to the basic protocol and three active improvement strategies: noise preprocessing, post-selection, and their combination. This approach enhances noise tolerance, reduces the required global detection efficiency threshold, and significantly extends the maximum secure communication distance. Numerical simulations demonstrate that for the basic protocol over fiber, the maximum secure distance increases from 0.16 km to 1.85 km, and the noise tolerance improves from 10.17% to 28.49%. The results show that generalizing advantage distillation to the three-party setting effectively strengthens the protocol's robustness and practicality, enhancing its adaptability to realistic noise and advancing the development of more reliable quantum secret sharing systems.