International Journal of Theoretical Physics

, Volume 57, Issue 9, pp 2892–2903 | Cite as

Quantum-Catalyzed Squeezed Vacuum State with Single-Photon Measurement and its Nonclassicality

  • Heng-Mei Li
  • Xue-Xiang Xu
  • Zhen Wang
  • Zhi-Long Wan
  • Xu-Ye JunEmail author


We propose a theoretical scheme to generate a new kind of non-Gaussian state, called single-photon quantum-catalyzed squeezed vacuum state (SPQCSVS), by using a squeezed vacuum state as the input state of quantum-optical catalysis with single-photon detection. After successful detection, SPQCSVS is a superposition of squeezed vacuum state (SVS) and two-photon excited SVS. The success probability of the detection also was derived and then the nonclassical properties of SPQCSVS were analytically studied in terms of photon number distribution, Mandel’s parameter, second-order correlation function, quadrature squeezing, and the negativity of Wigner function(WF). It is found that the SPQCSVS is highly nonclassical and its nonclassicality depends on the input squeezing parameter λ and the transmissivity T of beam splitter (BS). In particular, the negative volume of WF for SPQCSVS can be largened by increasing the input squeezing parameter λ or decreasing the transmissivity T of BS. Therefore, by modulating these parameters to improve and enhance the nonclassicality of SPQCSVS, it is possible to enhance the performance applying in the fields of quantum information and quantum computation.


Quantum catalysis Squeezed vacuum state Beam splitter Conditional measurement 



Supported by the National Natural Science Foundation of China (Nos.11665013 and 11704051) and the Natural Science Foundation of the Jiangsu Higher Education Institutions of China (No.16KJB140001).


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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  • Heng-Mei Li
    • 1
  • Xue-Xiang Xu
    • 2
  • Zhen Wang
    • 1
  • Zhi-Long Wan
    • 1
  • Xu-Ye Jun
    • 3
    Email author
  1. 1.College of Mathematical Physics and Chemical EngineeringChangzhou Institute of TechnologyChangzhouChina
  2. 2.College of Physics and Communication ElectronicsJiangxi Normal UniversityNanchangChina
  3. 3.Interdisciplinary Research Center of Quantum and Photoelectric InformationChizhou UniversityChizhouChina

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