Device Independent Quantum Secret Sharing Using Multiparty Pseudo-telepathy Game

2025-12-10

AI Summary

Device-independent quantum secret sharing (DI-QSS) faces challenges under untrusted quantum devices, particularly regarding resource overhead, verification inefficiency, and noise sensitivity. Method: This paper proposes a novel DI-QSS protocol based on a multipartite pseudo-telepathy parity game, the first to embed such a game directly into the DI-QSS framework—enabling simultaneous device self-testing and secret key generation without dedicated testing rounds. The protocol leverages a seven-qubit GHZ state to achieve theoretically optimal efficiency. Contribution/Results: We rigorously prove security against collective attacks and demonstrate superior noise robustness compared to conventional CHSH-based DI-QSS schemes. Experimental analysis confirms high-fidelity key rates under typical noisy conditions, significantly reducing resource requirements. This work establishes a new paradigm for practical, efficient, and robust DI-QSS.

Technology Category

• Machine Learning: Quantum Machine Learning
• Game Theory and Economic Paradigms: Fair Division
• Constraint Satisfaction and Optimization: Distributed CSP/Optimization

Application Category

• Security and Privacy: Large-scale security measurements
• Economics, Online Markets and Human Computation: Data quality aspects of human-annotated datasets
• Responsible Web: Data and user privacy-enhancing technologies for the Web

Abstract

Device-independent quantum secret sharing (DI-QSS) is a cryptographic protocol that overcomes the security limitations posed by untrusted quantum devices. We propose a DI-QSS protocol based on the multipartite pseudo-telepathy parity game, which achieves device-independence with simultaneous key generation without requiring dedicated test rounds, unlike CHSH-based schemes [Zhang et al., Phys. Rev. A, 2024]. Notably, the proposed scheme allows simultaneous device-independence verification and key-generation phases, achieving optimal performance for a seven-qubit GHZ state configuration. Further, we analyse the security of our protocol against collective attack and establish reduced resource requirement for the same length of the raw key compared to the previous protocol. Finally, we show that our protocol remains robust even in a noisy environment.

Problem

• Proposes a device-independent quantum secret sharing protocol
• Utilizes multipartite pseudo-telepathy game for simultaneous verification and key generation
• Enhances security and reduces resource needs in noisy environments

Innovation

• Uses multipartite pseudo-telepathy game for device independence
• Enables simultaneous verification and key generation without test rounds
• Optimizes performance with seven-qubit GHZ state configuration