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Quantum Information Processing
Published in: Quantum Information Processing 2/2024

01-02-2024

A rational hierarchical (t,n)-threshold quantum secret sharing scheme

Authors: Fulin Li, Zhuo Liu, Li Liu, Shixin Zhu

Published in: Quantum Information Processing | Issue 2/2024

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Abstract

Quantum secret sharing plays a crucial role in quantum cryptography. In this paper, we present a rational hierarchical (t,n)-threshold quantum secret sharing scheme based on Lagrange interpolation. In our scheme, participants possess rational and hierarchical properties, and the secret can be reconstructed when the number of rational participants satisfies the hierarchical (t,n)-threshold structure proposed in this paper. The reconstructed secret can encompass both classical information and quantum state information, enhancing the practicality and flexibility of our scheme compared to existing ones. Additionally, we redefine the utility of participants based on their roles in the secret recovery process. This newly defined utility allows for a more precise analysis of the correctness, fairness, and equilibrium of our scheme. Finally, our scheme not only resists a typical set of external attacks but also incorporates mechanisms to detect forgery and collusion among participants.
previous article Withstanding detector attacks in continuous-variable quantum key distribution via mean-restricted unary linear regression
next article Quantum algorithms to compute the neighbour list of N-body simulations

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Metadata
Title
A rational hierarchical (t,n)-threshold quantum secret sharing scheme
Authors
Fulin Li
Zhuo Liu
Li Liu
Shixin Zhu
Publication date
01-02-2024
Publisher
Springer US
Published in
Quantum Information Processing / Issue 2/2024
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-024-04269-1

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