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Generating entangled fermions by projective measurements in Gauss–Bonnet spacetime

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Abstract

The properties of the ferimonic entangled states resulting from the projective measurements in the Gauss–Bonnet spacetime are studied. It is found that the degree of entanglement, for projection onto double particles state, increases monotonously as the Hawking temperature T increases but decreases monotonously as the frequency of the detected particles increases; and for projection onto single particle state, the particle states are entangled for spin picture but are separable states for occupation number picture as \(T\rightarrow 0\), while the particle states for the both pictures are entangled as \(T\rightarrow \infty \). It is also shown that the Gauss–Bonnet coefficient \(\alpha \) and dimension d of the spacetime will affect the entanglement greatly.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China under Grant No. 11875025.

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Authors and Affiliations

  1. School of Electrical Engineering, Hunan Industry Polytechnic, Changsha, 410208, Hunan, People’s Republic of China

    Limei Jing

  2. Department of Physics, Hunan Normal University, Changsha, 410081, Hunan, People’s Republic of China

    Jiliang Jing

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  1. Limei Jing
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Correspondence to Jiliang Jing.

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Jing, L., Jing, J. Generating entangled fermions by projective measurements in Gauss–Bonnet spacetime. Quantum Inf Process 20, 61 (2021). https://doi.org/10.1007/s11128-021-02995-4

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