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The bounds of Fisher information induced by the superposed input states

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Abstract

Quantum Fisher information as an important quantity in quantum metrology determines the upper bound of the measurement accuracy. It is shown that the quantum feature such as entanglement can improve quantum Fisher information in some cases. Here we study how quantum coherence affects the quantum Fisher information from a general point of view. We find out that the bounds induced by the superposed states can well restrict the quantum Fisher information in a general parameter estimation scheme. As applications, we demonstrate these bounds by a parameter estimation process with the superposition input state undergoing different quantum channels.

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Authors and Affiliations

  1. School of Physics, Dalian University of Technology, Dalian, 116024, People’s Republic of China

    Ting-ting Shao, Dong-mo Li & Chang-shui Yu

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  1. Ting-ting Shao
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Correspondence to Chang-shui Yu.

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This work was supported by the National Natural Science Foundation of China, under Grant Nos. 11775040 and 11375036, and the Fundamental Research Fund for the Central Universities under Grant No. DUT18LK45.

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Shao, Tt., Li, Dm. & Yu, Cs. The bounds of Fisher information induced by the superposed input states. Quantum Inf Process 19, 11 (2020). https://doi.org/10.1007/s11128-019-2505-1

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