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Quantum (t,n) Threshold Proxy Blind Signature Scheme Based on Bell States

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Abstract

From the practical demand, this paper proposes a quantum (t,n) threshold proxy blind signature scheme based on Bell states. In our scheme, any t members of n proxy signers can cooperate to generate valid signatures on behalf of the original signer, and less than t can not. The original signer uses the quantum-controlled-not operations to expand the single particle quantum state into t-particle quantum states, and then uses the entanglement swapping to transmit the signature right of the original signer to t proxy signers. The proxy signers cooperate to complete signatures,through single particle measurements and performing the unitary operations of Pauli operator on arbitrarily Bell states. With the assistance of arbitration,the message receiver recovers the initial quantum information through single particle measurements and corresponding unitary operation to complete the verification. In order to ensure the secrecy of the message, the scheme also blinds the message, so that no one can know the content of the message except the owner and receiver of the message. The scheme is mainly completed by a series of quantum technologies and quantum algorithms, such as quantum key distribution protocol, quantum one-time pad algorithm, CNOT operation, Bell measurement, single particle measurement and unitary operation. So, it has the security of quantum signature. And the technologies used are general quantum technology, which is convenient for practice. Therefore, our quantum (t,n) threshold proxy blind signature scheme is a more practical signature scheme.

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Funding

This work is supported by the Postdoctoral Science Foundation of China (Grant Nos. 2018M633456) and Natural Science Basic Research Program of Shaanxi Province(Grant Nos. 2019JQ-472)

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  1. School of Mathematics and Statistics, Shaanxi Normal University, Xi’an, 710119, China

    Jing Yu & Jianhua Zhang

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  1. Jing Yu
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  2. Jianhua Zhang
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Correspondence to Jianhua Zhang.

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All authors contributed to the study conception and design. The first draft of the manuscript was written by Yu Jing. Mr. Zhang Jianhua revised the paper. All authors read and approved the final manuscript.

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Yu, J., Zhang, J. Quantum (t,n) Threshold Proxy Blind Signature Scheme Based on Bell States. Int J Theor Phys 61, 207 (2022). https://doi.org/10.1007/s10773-022-05112-y

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