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Continuous-variable quantum network coding for coherent states

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Abstract

As far as the spectral characteristic of quantum information is concerned, the existing quantum network coding schemes can be looked on as the discrete-variable quantum network coding schemes. Considering the practical advantage of continuous variables, in this paper, we explore two feasible continuous-variable quantum network coding (CVQNC) schemes. Basic operations and CVQNC schemes are both provided. The first scheme is based on Gaussian cloning and ADD/SUB operators and can transmit two coherent states across with a fidelity of 1/2, while the second scheme utilizes continuous-variable quantum teleportation and can transmit two coherent states perfectly. By encoding classical information on quantum states, quantum network coding schemes can be utilized to transmit classical information. Scheme analysis shows that compared with the discrete-variable paradigms, the proposed CVQNC schemes provide better network throughput from the viewpoint of classical information transmission. By modulating the amplitude and phase quadratures of coherent states with classical characters, the first scheme and the second scheme can transmit \(4{\log _2}N\) and \(2{\log _2}N\) bits of information by a single network use, respectively.

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Acknowledgements

This project was supported by the National Natural Science Foundation of China (No. 61571024) and the National Key Research and Development Program of China (No. 2016YFC1000307) for valuable helps.

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Authors and Affiliations

  1. School of Electronic and Information Engineering, Beihang University, Beijing, 100083, China

    Tao Shang, Ke Li & Jian-wei Liu

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  1. Tao Shang
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  2. Ke Li
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  3. Jian-wei Liu
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Correspondence to Tao Shang.

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Shang, T., Li, K. & Liu, Jw. Continuous-variable quantum network coding for coherent states. Quantum Inf Process 16, 107 (2017). https://doi.org/10.1007/s11128-017-1565-3

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  • DOI: https://doi.org/10.1007/s11128-017-1565-3

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