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Quantum (t, n) threshold signature based on logistic chaotic sequences and mutually unbiased bases

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Abstract

A quantum (t, n) threshold signature (QTS) based on Logistic Chaotic sequences and mutually unbiased bases is proposed, taking advantage of the pseudo-randomness of chaotic sequences and the cyclic characteristics of d-dimensional mutually unbiased bases. In this scheme, only t or more signatories can produce a valid signature on behalf of a signature group consisting of n members. The scheme uses a Logistic Chaotic mapping to generate a chaotic sequence, for which a particle swapping algorithm is used to obtain a position sequence, combined with a generalized Pauli operator to encrypt the message. Also, mutually unbiased bases in d-dimensional Hilbert space are used to verify the threshold value in the scheme. Security analysis proves that the proposed scheme satisfies signature non-repudiation and is resistant to collusive attacks by disloyal signing members. By comparing to existing QTS schemes, the proposed QTS scheme can reduce the resources consumed in the signing phase. The number of particles in the scheme does not increase as the number of signing members increases, except for local operations. That increases the scalability of the signature scheme.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China, Grant Nos. 61771294, 61972235. It was partially supported by the Shandong Technology and Busyness University Staring Foundation for Doctorate Research (Grant No. 014-306518).

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Authors and Affiliations

  1. College of Computer Science and Technology, Shandong Technology and Business University, Yantai, 264005, China

    Yaodong Zhang

  2. Health Comprehensive Service Center, Yantai, 264001, China

    Hailan Fang

  3. College of Mathematic and Information Science, Shandong Technology and Business University, Yantai, 264005, China

    Feng Liu

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  1. Yaodong Zhang
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  2. Hailan Fang
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Correspondence to Yaodong Zhang.

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Zhang, Y., Fang, H. & Liu, F. Quantum (t, n) threshold signature based on logistic chaotic sequences and mutually unbiased bases. Quantum Inf Process 23, 154 (2024). https://doi.org/10.1007/s11128-024-04366-1

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