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Quantum network coding without loss of information

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Abstract

In this paper, we propose a novel quantum network coding scheme to achieve the perfect transmission of quantum states without loss of information. In our scheme, two pairs of non-maximally entangled states are pre-shared between senders. By applying the local operations at the sender, the perfect transmission of quantum states can be achieved on the butterfly network. Firstly, by adding auxiliary particles to the senders on the butterfly network, the senders can judge whether the quantum state transmission can be achieved or not in advance. The outstanding advantage of our scheme is that the transmission results of quantum states on the butterfly network can be predicted in advance. When the transmission fails, the quantum state will not be lost. The sender does not need to re-prepare the quantum state for retransmission. Secondly, in the proposed scheme, not only the resources of quantum channel and classical channel are greatly saved, but also only two-bit information is send through classical channel at the bottleneck. Thirdly, our scheme avoids preparing Bell basis to measure two-particle states and uses Z-basis and X-basis to measure single-particle states, which will make the experimental realization simplified. Finally, we also extend the scheme to the k-pair quantum network and give an example of quantum 3-pair network communication.

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Acknowledgements

This work is supported by NSFC (Grant Nos. 61671087, 61962009), the Fundamental Research Funds for the Central Universities (Grant No. 2019XD-A02), Huawei Technologies Co. Ltd (Grant No. YBN2020085019), the Open Foundation of Guizhou Provincial Key Laboratory of Public Big Data (Grant No. 2018BDKFJJ018).

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Authors and Affiliations

  1. Information Security Center, State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Xing-Bo Pan, Xiu-Bo Chen & Yi-Xian Yang

  2. School of Computing Science and Technology, North China University of Technology, Beijing, 100144, China

    Gang Xu

  3. Huawei Technologies Co. Ltd, Shenzhen, 518129, China

    Zong-Peng Li

  4. School of Computer Science, Wuhan University, Wuhan, 430072, China

    Zong-Peng Li

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  1. Xing-Bo Pan
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Correspondence to Xiu-Bo Chen.

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Pan, XB., Xu, G., Li, ZP. et al. Quantum network coding without loss of information. Quantum Inf Process 20, 65 (2021). https://doi.org/10.1007/s11128-020-02966-1

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