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High-Capacity Three-Party Quantum Secret Sharing with Single Photons in Both the Polarization and the Spatial-Mode Degrees of Freedom

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Abstract

We present a high-capacity three-party quantum secret sharing (QSS) protocol with a sequence of single photons in both the polarization and the spatial-mode degrees of freedom. By inserting the boss Alice into the middle position between the two agents Bob and Charlie, our QSS protocol is secure in theory. The boss Alice chooses some unitary operations to encode her information on the single photons. It is interesting to point out the fact that Alice does not change the bases of the single photons which are used to carry the useful information about the private key, which improves its success probability for obtaining a private key. Compared with the QSS protocol by Zhou et al. (Chin. Phys. Lett. 24, 2181 (2007)), our QSS protocol has a higher capacity without increasing the difficulty of its implementation in experiment as each correlated photon can carry two bits of useful information. Compared with those QSS protocols based on entangled photon pairs and Bell-state measurements, our QSS protocol is more feasible as it does not require the complete Bell-state analysis which is not easy with linear optics. We give out the setup for the implementation of our QSS protocol with linear optical elements.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (Grant No. 11105075 and 61103235) and the Natural Science Foundation of Jiangsu Provincial Universities (Grant No. 10KJB180004).

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Authors and Affiliations

  1. Jiangsu Engineering Center of Network Monitoring, Nanjing University of Information Science and Technology, Nanjing, 210044, China

    Haibin Wang & Desheng Fu

  2. Jiangsu Institute of Education, Nanjing, 210013, China

    Yugai Huang & Xia Fang

  3. College of Physics and Optoelectronic Technology, Nanjing University of Information Science and Technology, Nanjing, 210044, China

    Bin Gu

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  1. Haibin Wang
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  2. Yugai Huang
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  3. Xia Fang
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  4. Bin Gu
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  5. Desheng Fu
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Correspondence to Bin Gu.

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Wang, H., Huang, Y., Fang, X. et al. High-Capacity Three-Party Quantum Secret Sharing with Single Photons in Both the Polarization and the Spatial-Mode Degrees of Freedom. Int J Theor Phys 52, 1043–1051 (2013). https://doi.org/10.1007/s10773-012-1418-x

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  • DOI: https://doi.org/10.1007/s10773-012-1418-x

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