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Effect of Quantum Noise on the Controlled Remote Preparation via the Brown State

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Abstract

Gao et al. have studied the controlled remote preparation of arbitrary two- and three-qubit states via the Brown state as the entangled channel. But these schemes are considered in ideal environment. In this paper, we take the scheme of preparing an arbitrary two-qubit state as an example and reinvestigate it in five-type noises: the bit flip, phase flip, bit-phase flip, phase-damping and amplitude-damping noise. The fidelity is adopted to describe how close the output state with the prepared state are. It is found that the fidelity of the output state is dependent on the coefficients of the prepared state and the noise parameter in five-type noises. Interestingly, the fidelity is irrelated to the participators’ measurement results except in the amplitude-damping noise.

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Acknowledgements

This work is 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

    Ting Dong & Song-Ya Ma

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

    Song-Ya Ma

  3. Institute of Applied Mathematics, Henan University, Kaifeng, 475004, China

    Song-Ya Ma

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

    Song-Ya Ma

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  1. Ting Dong
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  2. Song-Ya Ma
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Correspondence to Song-Ya Ma.

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Dong, T., Ma, SY. Effect of Quantum Noise on the Controlled Remote Preparation via the Brown State. Int J Theor Phys 57, 3563–3575 (2018). https://doi.org/10.1007/s10773-018-3870-8

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  • DOI: https://doi.org/10.1007/s10773-018-3870-8

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