Acta Physica Sinica, Volume. 69, Issue 12, 124202-1(2020)

Application of photon-added two-mode squeezed vacuum states to phase estimation based on Mach-Zehnder interferometer

Shuai Wang1、*, Yong-Xing Sui1, and Xiang-Guo Meng2
Author Affiliations
  • 1School of Mathematics and Physics, Jiangsu University of Technology, Changzhou 213001, China
  • 2School of Physics Science and Information Technology, Liaocheng University, Liaocheng 252059, China
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    Figures & Tables(7)
    Added to or subtracted from a two-mode squeezed vacuum state with different photon numbers (), the mean photon number variation of these corresponding non-Gaussian states with the squeezed parameter z: (a) Photon-added two-mode squeezed vacuum state; (b) photon-subtracted two-mode squeezed vacuum state. Different color curves correspond to different values of ().
    Ultimate limit of the phase sensitivity as a function of the squeezing parameter z : (a) The photon-added two-mode squeezed vacuum state; (b) the photon-subtracted two-mode squeezed vacuum state. Different color curves correspond to add to or subtract from a two-mode squeezed vacuum state with different photon numbers ()
    Ultimate limit variation of the phase sensitivity with the mean photon number: (a) The photon-added two-mode squeezed vacuum state; (b) the photon-subtracted two-mode squeezed vacuum state. Different color curves correspond to add to or subtract from a two-mode squeezed vacuum state with different photon numbers (). The upper black dashed line denotes the SNL limit, while the below black dashed line represents the HL limit.
    Plot of the signal values of the parity detection against the phase shift for and some values of ()
    Phase sensitivity as a function of the phase shift for some values of () when the photon-added two-mode squeezed vacuum state is considered as interferometer states: (a) For a given initial squeezing parameter ; (b) for a given mean photon number .
    Plots of the phase sensitivity as a function of the mean photon number of the photon-added two-mode squeezed vacuum state for some different values of () at : (a) Symmetric photon-added two-mode squeezed vacuum state (); (b) asymmetric photon-added two-mode squeezed vacuum state (). The upper black dashed line denotes the SNL limit, while the below black dashed line represents the HL limit.
    Phase sensitivity as a function of the initial squeezing parameter z for different values of () at : (a) The phase sensitivity obtained by the parity detection; (b) the ultimate limit of phase sensitivity obtained by the quantum Fisher information.
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    Shuai Wang, Yong-Xing Sui, Xiang-Guo Meng. Application of photon-added two-mode squeezed vacuum states to phase estimation based on Mach-Zehnder interferometer[J]. Acta Physica Sinica, 2020, 69(12): 124202-1

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    Paper Information

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    Received: Feb. 4, 2020

    Accepted: --

    Published Online: Dec. 8, 2020

    The Author Email:

    DOI:10.7498/aps.69.20200179

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