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Protection of quantum Fisher information in entangled states via classical driving

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Abstract

Quantum entanglement can offer a quadratic enhancement in the precision of parameter estimation. We here study the protection of quantum Fisher information (QFI) of the phase parameter in entangled-atom states within the framework of independently dissipative environments and driven individually by classical fields. It is shown that the QFI of the phase parameter can be protected effectively only when the classical fields that drive all atoms are suitably strong, and if one of them vanishes or is very weak, then the ability of protection loses, no matter how strong the other driving fields are. We also study the evolution of fidelity of the entangled state itself and find that though the protections of QFI and quantum states are two different notions, the method can also be used to protect quantum states effectively when the driving fields are suitably strong.

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Acknowledgments

This work is supported by the National Natural Science Foundation of China (Grant No. 11275064), the Specialized Research Fund for the Doctoral Program of Higher Education (Grant No. 20124306110003), and the Construct Program of the National Key Discipline.

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Authors and Affiliations

  1. Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, Synergetic Innovation Center for Quantum Effects and Applications, and Department of Physics, Hunan Normal University, Changsha, 410081, China

    Yu-Kun Ren, La-Mei Tang & Hao-Sheng Zeng

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  1. Yu-Kun Ren
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  2. La-Mei Tang
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  3. Hao-Sheng Zeng
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Correspondence to Hao-Sheng Zeng.

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Ren, YK., Tang, LM. & Zeng, HS. Protection of quantum Fisher information in entangled states via classical driving. Quantum Inf Process 15, 5011–5021 (2016). https://doi.org/10.1007/s11128-016-1444-3

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