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Quantum Fisher Information of Several Qubitsin the Superposition of A GHZ and two W Stateswith Arbitrary Relative Phase

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Abstract

We study the quantum Fisher information (QFI) of a system of several particles which is in a superposition of a GHZ and two W states with arbitrary relative phase. We show that as the number of particles increases from 3 to 4, the behavior of QFI drastically changes. We also show how the dependence of QFI on the relative phase weakens as the number of particles increases. We also analyze the QFI for the state for several instances of N due to the change of the relative phases.

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Acknowledgments

This work was funded by Isik University Scientific Research Fund, Grant Number: BAP-14A101.

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Authors and Affiliations

  1. Department of Information Technologies, Faculty of Science and Letters, Isik University, Istanbul, Turkey

    Fatih Ozaydin

  2. Department of Electrical Engineering, Faculty of Engineering and Architecture, Okan University, Istanbul, Turkey

    Azmi Ali Altintas

  3. Department of Computer Engineering, Institute of Science, Istanbul University, Istanbul, Turkey

    Sinan Bugu

  4. Department of Computer Engineering, Faculty of Engineering and Architecture, Okan University, Istanbul, Turkey

    Can Yesilyurt

  5. Physics Department, Faculty of Science and Letters, Bogazici University, Istanbul, Turkey

    Metin Arik

  6. Department of Physics, Faculty of Science and Letters, Isik University, Istanbul, Turkey

    Metin Arik

Authors
  1. Fatih Ozaydin
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  2. Azmi Ali Altintas
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  3. Sinan Bugu
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  4. Can Yesilyurt
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  5. Metin Arik
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Correspondence to Fatih Ozaydin.

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Ozaydin, F., Altintas, A.A., Bugu, S. et al. Quantum Fisher Information of Several Qubitsin the Superposition of A GHZ and two W Stateswith Arbitrary Relative Phase. Int J Theor Phys 53, 3219–3225 (2014). https://doi.org/10.1007/s10773-014-2119-4

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  • DOI: https://doi.org/10.1007/s10773-014-2119-4

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