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High-Capacity Quantum Summation with Single Photons in Both Polarization and Spatial-Mode Degrees of Freedom

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Abstract

In this paper, we employ single photons in both polarization and spatial-mode degrees of freedom to design a quantum summation protocol. We assume that the third party, i.e. TP, is semi-honest in our protocol. That TP is semi-honest means TP executes the protocol loyally, keeps a record of all its intermediate computations and might try to steal the participants’ private inputs from the record, but he cannot be corrupted by the adversary. Participants can independently encode their private inputs on the polarization states and the spatial-mode states of single photons. Thus our protocol doubles the capacity of quantum communication compared with those based on single photons with only one degree of freedom. In addition, our protocol is feasible as the preparation and the measurement of single-photon quantum states in both the polarization and the spatial-mode degrees of freedom are available with current quantum techniques. We also analyze its security in this paper.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China under Grants No. 61272013.

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Authors and Affiliations

  1. School of Information Science and Technology, Sun Yat-sen University, Guangzhou, 510006, China

    Cai Zhang, Zhiwei Sun & Dongyang Long

  2. Key Laboratory of Pattern Recognition and Intelligent Information Processing, Institutions of Higher Education of Sichuan Province, Chengdu University, Chengdu, 610106, China

    Yi Huang

  3. School of Information Science and Technology, Chengdu University, Chengdu, 610106, China

    Yi Huang

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  1. Cai Zhang
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  2. Zhiwei Sun
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  3. Yi Huang
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  4. Dongyang Long
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Correspondence to Cai Zhang.

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Zhang, C., Sun, Z., Huang, Y. et al. High-Capacity Quantum Summation with Single Photons in Both Polarization and Spatial-Mode Degrees of Freedom. Int J Theor Phys 53, 933–941 (2014). https://doi.org/10.1007/s10773-013-1884-9

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  • DOI: https://doi.org/10.1007/s10773-013-1884-9

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