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A Quantum Multi-proxy Blind Signature Scheme Based on D-dimensional GHZ States

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Abstract

Based on the study of the nature of GHZ states in d-dimensional quantum systems, this paper proposes a quantum multi-proxy blind signature scheme based on d-dimensional GHZ states. The original signer Alice generates multi-particle GHZ states and distributes them to the proxy signer \({Charlie}_{i}\) and the verifier Bob, the message owner David blinds the original message using random sequences and coding rules,Alice and \({Charlie}_{i}\) measure the held particles and perform a cryptographic operation to generate their respective signatures and send them to Bob, and Bob verifies the signature with the assistance of Arbitration Trent based on the properties of the d-dimensional GHZ state using particles held by himself. Compared to some typical quantum proxy signature protocols, the protocol is more blind in terms of privacy protection and more flexible in terms of extensibility, where the proxy signer can adjust to the reality with the consent of the original signer and does not need to restart the signature, which nicely simplifies the complexity of proxy signing. Also a single quantum bit in a d-dimensional quantum state can carry more information, and particles held by participants can be reused, thus increasing the efficiency of quantum signature protocols. At the same time, the scheme satisfies verifiability, unforgeability, and undeniability.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China under Grant No. 61762039.

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Authors and Affiliations

  1. Department of Information Engineering, East China JiaoTong University, Shuanggang Road 808, NanChang 330013, Jiangxi, People’s Republic of China

    Yongqi Xue, Aihan Yin & Ke Xing

Authors
  1. Yongqi Xue
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  2. Aihan Yin
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  3. Ke Xing
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Contributions

Xue was responsible for the general structure of the protocol and the writing of the paper; Yin provided modifications to the protocol and participated in the revision of the syntax of the protocol; Xing was involved in drawing the graphs and collecting and organising the data.

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Correspondence to Aihan Yin.

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Xue, Y., Yin, A. & Xing, K. A Quantum Multi-proxy Blind Signature Scheme Based on D-dimensional GHZ States. Int J Theor Phys 62, 265 (2023). https://doi.org/10.1007/s10773-023-05518-2

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