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Effects of noises on joint remote state preparation via a GHZ-class channel

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Abstract

Using a GHZ-class state as quantum channel, we investigate the joint remote preparation of a qubit state in Pauli noise environments. By analytically solving the master equation in Lindblad form, we calculate the time evolution of the GHZ-class channel under different noisy conditions and then obtain the fidelity of the joint remote state preparation (JRSP) process and the corresponding average fidelity. We find that the fidelity depends on the noise type, the GHZ-class state, the initial state to be remotely prepared, and the Pauli decoherence rate. We also find that how two senders share the polar angle information of initial state plays an important role in the fidelity, and information sharing reduces the ability to resist the influence of Pauli noises in our JRSP protocol. Furthermore, how the two senders share the phase information affects the intensity of the bit-phase flip noise and the bit flip noise acting on the average fidelity. Besides, the fidelity of our JRSP protocol achieved via the maximally entangled channel is larger than that achieved via the partially entangled channel.

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Acknowledgments

This work was supported in part by the National Natural Science Foundation of China under Grant Nos. 11174081, 11034002, 11134003, 11247024, and 51001078, the National Basic Research Program of China under Grant Nos. 2011CB921602 and 2012CB821302, and the Natural Science Foundation of Zhejiang Province under Grant No. Y6110578.

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Authors and Affiliations

  1. Department of Physics, College of Physics and Electronic Engineering, Taizhou University, Taizhou, 318000, China

    Hua-Qiu Liang, Shang-Shen Feng & Ji-Gen Chen

  2. State Key Laboratory of Precision Spectroscopy, Department of Physics, East China Normal University, Shanghai, 200062, China

    Jin-Ming Liu & Xin-Ye Xu

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  1. Hua-Qiu Liang
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  2. Jin-Ming Liu
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Liang, HQ., Liu, JM., Feng, SS. et al. Effects of noises on joint remote state preparation via a GHZ-class channel. Quantum Inf Process 14, 3857–3877 (2015). https://doi.org/10.1007/s11128-015-1078-x

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