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Preservation of Quantum Fisher Information and Geometric Phase of a Single Qubit System in a Dissipative Reservoir Through the Addition of Qubits

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Abstract

In this paper, we have investigated the preservation of quantum Fisher information (QFI) of a single-qubit system coupled to a common zero temperature reservoir through the addition of noninteracting qubits. The results show that, the QFI is completely protected in both Markovian and non-Markovian regimes by increasing the number of additional qubits. Besides, the phenomena of QFI display monotonic decay or non-monotonic with revival oscillations depending on the number of additional qubits N − 1 in a common dissipative reservoir. If N < N c (a critical number depending on the reservoirs parameters), the behavior of QFI with monotonic decay occurs. However, if N ≥ N c , QFI exhibits non-monotonic behavior with revival oscillations. Moreover, we extend this model to investigate the effect of additional qubits and the initial conditions of the system on the geometric phase (GP). It is found that, the robustness of GP against the dissipative reservoir has been demonstrated by increasing gradually the number of additional qubits N − 1. Besides, the GP is sensitive to the initial parameter 𝜃, and possesses symmetric in a range regime [0,2π].

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Acknowledgments

This research is supported by the Start-up Funds for Talent Introduction and Scientific Research of Changsha University (Grant Nos.SF1504 and SF1602), the Scientific Research Project of Hunan Province Department of Education (Grant Nos.16C0134 and 17C0133), the Natural Science Foundation of Hunan Province (Grant Nos.2017JJ3346 and 14JJ2134), Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education (QSQC1403) and the Project of Science and Technology Plan of Changsha (ZD1601071 and K1705022).

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Authors and Affiliations

  1. Department of Electronic and Communication Engineering, Changsha University, Changsha, Hunan, 410022, People’s Republic of China

    Y. N. Guo, Y. F. Mo, G. L. Zhang & K. Zeng

  2. Department of Physics, Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, Hunan Normal University, Changsha, 410081, People’s Republic of China

    Y. N. Guo

  3. Department of Mathematics and Computing Science, Changsha University, Changsha, Hunan, 410022, People’s Republic of China

    Q. L. Tian

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  1. Y. N. Guo
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  2. Q. L. Tian
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  3. Y. F. Mo
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  4. G. L. Zhang
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  5. K. Zeng
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Correspondence to Q. L. Tian or K. Zeng.

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Guo, Y.N., Tian, Q.L., Mo, Y.F. et al. Preservation of Quantum Fisher Information and Geometric Phase of a Single Qubit System in a Dissipative Reservoir Through the Addition of Qubits. Int J Theor Phys 57, 1013–1023 (2018). https://doi.org/10.1007/s10773-017-3634-x

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