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Multiparty Quantum Computation for Summation and Multiplication with Mutually Unbiased Bases

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Abstract

We present an efficient protocol to securely compute the summation and multiplication of the multiparty secure numbers via quantum states in MUBs. In our protocols, we assume the third party Alice is semi-honest which means Alice might want to steal the secret messages of the participants but cannot be corrupted by the participants. The agents use decoy photons which are randomly in one of 2dm nonorthogonal multiparticle states to prevent the eavesdropper and potential dishonest agents from freely eavesdropping on the secure information. The scheme requires the agents of computation to transmit fewer particles for multiparty summation and multiplication, which makes the scheme more convenient to use than others. Moreover, it has the advantage of having high information capacity per photon for summation and multiplication in multiparty quantum computation.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China under Grant Nos. 61501129 and 11564004, Natural Science Foundation of Guangxi under Grant Nos. 2014GXNSFAA118008, Special Funds of Guangxi Distinguished Experts Construction Engineering and Xiangsihu Young Scholars and Innovative Research Team of GXUN.

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  1. College of Science, Guangxi University for Nationalities, Nanning, 530006, People’s Republic of China

    Shu-Xin Lv, Xian-Fang Jiao & Ping Zhou

  2. Key Lab of Quantum Information and Quantum Optics, Guangxi University for Nationalities, Nanning, 530006, People’s Republic of China

    Shu-Xin Lv, Xian-Fang Jiao & Ping Zhou

  3. Guangxi Key Laboratory of Hybrid Computational and IC Design Analysis, Nanning, 530006, People’s Republic of China

    Ping Zhou

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  1. Shu-Xin Lv
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Lv, SX., Jiao, XF. & Zhou, P. Multiparty Quantum Computation for Summation and Multiplication with Mutually Unbiased Bases. Int J Theor Phys 58, 2872–2882 (2019). https://doi.org/10.1007/s10773-019-04170-z

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