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Effective deterministic joint remote preparation of the Knill–Laflamme–Milburn state in collective noise environment

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Abstract

We present a scheme for implementing deterministic joint remote preparation of the Knill–Laflamme–Milburn state with two GHZ states as the quantum channel. Assuming that four of the six involved qubits collectively suffer the same type of noise, we first investigate the effects of four typical types of noises on the protocol by means of Kraus operators. It is shown that the bit-flip and amplitude damping noise are the severe noises for decoherence rate \(\chi <0.5\), followed by the depolarizing and phase-flip channel, respectively. Interestingly, the efficiency of the scheme can be restored by adding decoherence when \(\chi >0.5\) in bit-flip and phase-flip noise channel. Afterward, we investigate the dynamics of deterministic joint remote state preparation for dissipative environments. Analytical and numerical calculations show that the quality of our scheme can be enhanced by adjusting the system detuning no matter whether the non-Markovian effect is applicable or not.

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Acknowledgements

K. Hou and M. Shi thank the support the National Natural Science Foundation of China (Grant No. 11805004) and the Doctor Foundation of Anhui Jianzhu University(Grant No. 2020QDZ21). Z.Y. Chen thanks the support of the Higher Education Quality Engineering Project of Anhui Jianzhu University (Grant No. 2020XSXX01). X.Y.Zhang thanks the support of the Natural Science Fundation of Education Department of Anhui Province (Grant No. KJ2020A0484).

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Authors and Affiliations

  1. Department of Mathematics and Physics, Anhui JianZhu University, Hefei, 230601, China

    Kui Hou, Zun-Yi Chen, Min Shi & Xue-Yong Zhang

  2. Key Laboratory of Architectural Acoustics Environment of Anhui High Education Institutes, Hefei, 230601, China

    Kui Hou & Xue-Yong Zhang

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  1. Kui Hou
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Hou, K., Chen, ZY., Shi, M. et al. Effective deterministic joint remote preparation of the Knill–Laflamme–Milburn state in collective noise environment. Quantum Inf Process 20, 225 (2021). https://doi.org/10.1007/s11128-021-03163-4

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