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International Journal of Theoretical Physics

Authenticated Semi-Quantum Secret Sharing Based on GHZ-Type States

Aihan Yin, Tong Chen

Published Jan 1, 2021• 33 citations
Publisher
DOI
10.1007/s10773-020-04688-7

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Abstract Semi-quantum secret sharing (SQSS) is a branch of quantum cryptography, with the advantage of fewer quantum resources. In this paper, we present a SQSS protocol based on hybrid single particle and GHZ-type states. Our protocol adopts circular transport structure to share secret information between classical and quantum parties, employing the entanglement correlation and uncertainty of GHZ-type states to guarantee the security of the transmission. Security analysis indicates that the proposed SQSS protocol enables resilience against various potential attacks such as measure-resend, entangle-measure, internal, and Trojan attacks. Furthermore, our protocol is easy to generalize to multi-party scenarios without increasing the complexity of state preparation. Compared with some typical SQSS protocols, our protocol has higher qubit efficiency without the need for entanglement swapping operations. The proposed SQSS protocol has the potential for broader applications in practical scenarios.
We propose a quantum secret sharing protocol which can authenticate more than half of members using GHZ state swapping. The Trusted Third Party, Trent can authenticate all members using previously shared ID among Trent distributing his message and the members wanting to reconstruct the message. Authenticated members can reconstruct a secret message through GHZ swapping. Moreover, this protocol is efficient to expand the number of members to arbitrary number n, so it is a close quantum secret sharing protocol to classical secret sharing protocol.