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International Journal of Theoretical Physics

Efficient Verifiable Quantum Secret Sharing Schemes via Eight-Quantum-Entangled States

Shaohua Jiang, Zehong Liu, Xiaoping Lou, Zhou Fan, Sheng Wang, Jinjing Shi

Published Apr 16, 2021• 15 citations
Publisher
DOI
10.1007/s10773-021-04796-y

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Maintaining confidentiality and reliability in distributed quantum environments remains a significant challenge. To this end, we propose a quantum secret sharing (QSS) scheme based on the local distinguishability of orthogonal eight-qudit entangled states. Compared to the previous seven-particle model, this scheme significantly expands the quantum state space, enhances security, and improves flexibility. We systematically construct 22 types of eight-qudit entangled states, define their corresponding judgment spaces, and introduce a new distinction rule to simplify the local discrimination process. Based on this framework, we develop a general ( k , n )-threshold quantum synchronization sharing protocol and verify its effectiveness using a (7, 8)-threshold example on the IBM Qiskit platform. Results show that this scheme is resilient to multiple attack types and provides a scalable approach for secure quantum information sharing in future distributed quantum systems, with potential applications in fields such as quantum-enhanced edge computing.
Quantum secret sharing plays a crucial role in quantum cryptography. The two main trends in quantum secret sharing are to address the problem of scheme failure due to participant spoofing and to improve the efficiency of quantum secret sharing. This paper focuses on the quantum secret sharing scheme with general access structure due to its flexibility. We design a special entangled state by resorting to Monotone Span Program (MSP). Based on the special 2-dimensional entangled state, an efficient and verifiable general quantum secret sharing (GQSS) scheme is proposed. In the GQSS scheme, the authorized participants only provide the X-basis measurement results of particles to recover and verify the shared secret, which makes that our scheme have lower communication consumption and quantum computational complexity. The analysis shows that the proposed scheme is simpler and more practical compared with related quantum secret sharing schemes.