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Quantum Fisher Information and Heisenberg Limit in Multi-qubit State

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Abstract

We investigate the quantum Fisher information and Heisenberg limit in multi-qubit pure state superposed by a GHZ state and two W states with a relative phase. Analytical expressions of quantum Fisher information and phase estimation sensitivity are derived. It is shown that the maximal quantum Fisher information occurs and the phase estimation is enhanced to the Heisenberg limit when the number of qubits is large.

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Acknowledgements

The authors are grateful to Song-Song Li for useful discussions that took place for the duration of the present work. This work was supported by Education reform project of Jiangxi Province Department of Education Grant No: JXJG-06-67-12.

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  1. Department of Physics, Jiangxi Institute of Education, Nanchang, 330029, People’s Republic of China

    Hong-Gang Yi & Rong-Hua Chen

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  1. Hong-Gang Yi
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  2. Rong-Hua Chen
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Correspondence to Hong-Gang Yi.

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Yi, HG., Chen, RH. Quantum Fisher Information and Heisenberg Limit in Multi-qubit State. Int J Theor Phys 52, 233–238 (2013). https://doi.org/10.1007/s10773-012-1324-2

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  • DOI: https://doi.org/10.1007/s10773-012-1324-2

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