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A New Quantum Proxy Signature Model Based on a Series of Genuine Entangled States

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Abstract

Quantum proxy signature(QPS) is one of the most important topics in quantum signature. In this paper, we propose a new and general model of QPS based on genuine entangled Nj-qubit (3 ≤ Nj ≤ 6,Nj ∈ N∗,j = 1,2,3,4.) states. In our model, only the teleportation of multiparty entangled states and quantum one-time pad(QOTP) encryption algorithm have been applied to ensure the security. We hope our results will be helpful to the research of quantum signature in future.

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Acknowledgements

This work is supported by Natural Science Foundation of Heilongjiang Province under Grant No.A2016007, Youth Foundation of Heilongjiang University under Grant No.QL201501, and Hei Long Jiang Postdoctoral Foundation Grant No.LBH-Z17048; Graduates Innovation Scientific Research Foundation of Heilongjiang University under Grant No.YJSCX2017-180HLJU.

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Authors and Affiliations

  1. School of Mathematical Science, Heilongjiang University, Harbin, 150080, China

    Hai-Yan Zhang, Long Zhang & Ke-Jia Zhang

  2. Heilongjiang Provincial Key Laboratory of the Theory and Computation of Complex Systems, Harbin, 150080, China

    Long Zhang & Ke-Jia Zhang

  3. School of Computer Science and Technology, Harbin Engineering University, Harbin, 150001, China

    Ke-Jia Zhang

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  1. Hai-Yan Zhang
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  2. Long Zhang
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Correspondence to Ke-Jia Zhang.

Appendix

Appendix

Table 1 Alice’s measurement outcomes of particles T1, Charlie’s measurement outcomes of particles (M,F1) and Bob’s unitary operations of particles \(S_{1_{u}}\)
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Table 2 Alice’s measurement outcomes of particles T2, Charlie’s measurement outcomes of particles (M,F2), and Bob’s measurement outcomes and unitary operations of particles (\(S_{2_{m}}, S_{2_{u}})\)
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Table 3 Alice’s measurement outcomes of particle T3, Charlie’s measurement outcomes of particles (M,F3), and Bob’s measurement outcomes and unitary operations of particle \((S_{3_{m}}, S_{3_{u}})\)
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Table 4 Alice’s measurement outcomes of particles T4, Charlie’s measurement outcomes of particles (M,F4), and Bob’s measurement outcomes and unitary operations of particles \((S_{4_{m}}, S_{4_{u}})\)
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Zhang, HY., Zhang, L. & Zhang, KJ. A New Quantum Proxy Signature Model Based on a Series of Genuine Entangled States. Int J Theor Phys 58, 591–604 (2019). https://doi.org/10.1007/s10773-018-3957-2

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