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Quantum Fisher Information and the Heisenberg Limit in Superpositions of Two W States and Symmetric State

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Abstract

We investigate the quantum Fisher information and the Heisenberg limit in superposition of a four-qubit symmetric state and two W states. Numerical and analytical calculations for quantum Fisher information and the Heisenberg limit of the four-qubit state are driven. It is shown that quantum Fisher information of the four-qubit state depends on the superposition coefficients and the relative phase. It is also shown that under certain conditions, the maximal quantum Fisher information occurred; which leads to the estimation sensitivity beats the Heisenberg limit.

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Acknowledgements

This work was supported by Science and technology project of Jiangxi Province Department of Education Grant No: GJJ12653 and Youth Fund Project in the Education Department of Jiangxi Province Grant No: GJJ11258.

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Authors and Affiliations

  1. Department of New Energy Science and Engineering, Xinyu College, Xinyu, 338004, P.R. China

    Xiao-Fang Ouyang & Run-Sheng Wu

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  1. Xiao-Fang Ouyang
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  2. Run-Sheng Wu
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Correspondence to Xiao-Fang Ouyang.

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Ouyang, XF., Wu, RS. Quantum Fisher Information and the Heisenberg Limit in Superpositions of Two W States and Symmetric State. Int J Theor Phys 51, 3345–3349 (2012). https://doi.org/10.1007/s10773-012-1214-7

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  • DOI: https://doi.org/10.1007/s10773-012-1214-7

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