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Bidirectional Hybrid Controlled Quantum Communication Under Noisy Environment

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Abstract

We first put forward an efficient protocol in ideal environment to deterministically realize bidirectional hybrid quantum communication via a five-qubit entangled state as the quantum channel, where both the senders transfer an arbitrary single-qubit state to each other simultaneously with the assistance of the controller. It is worth mentioning that three-bit classical communication can be saved at the broadcast channel by the technology of network coding. Moreover, the senders do not need to perform information splitting and additional unitary operations owing to the elaborate measurement basis we constructed. Then we investigate the protocol in five-type noises (the bit flip, phase flip, bit-phase flip, phase-damping and amplitude-damping noise) and calculate the corresponding fidelities of the output states.

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Acknowledgements

Project supported by the National Natural Science Foundation of China (Nos. 61201253, 61572246), Open Foundation of State Key Laboratory of Networking and Switching Technology (Beijing University of Posts and Telecommunications) (No. SKLNST-2018-1-16), Foundation of Science and Technology on Information Assurance Laboratory (No. KJ-17-003), the program for science and technology innovation research team in universities of Henan province (No. 18IRTSTHN014).

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Authors and Affiliations

  1. School of Mathematics and Statics, Henan University, Kaifeng, 475004, China

    Li Gong & Songya Ma

  2. School of Mathematics and Statistics, North China University of Water Resources and Electric Power, Zhengzhou, 450046, China

    Xian Li

  3. State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    Songya Ma

  4. Science and Technology on Information Assurance Laboratory, Beijing, 100072, China

    Songya Ma

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  1. Li Gong
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  2. Xian Li
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  3. Songya Ma
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Correspondence to Songya Ma.

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Gong, L., Li, X. & Ma, S. Bidirectional Hybrid Controlled Quantum Communication Under Noisy Environment. Int J Theor Phys 58, 3734–3745 (2019). https://doi.org/10.1007/s10773-019-04244-y

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