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Chin. Phys. B, 2012, Vol. 21(1): 010305    DOI: 10.1088/1674-1056/21/1/010305
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Four-mode coherent-entangled state and its application

Li Hong-Qi(李洪奇)a)b)c), Ren Ting-Qi(任廷琦)a), Zhang Yun-Hai(张运海)a)b)c), and Xu Xing-Lei(徐兴磊)b)c)†
a Department of Physics, Qufu Normal University, Qufu 273165, China; b Department of Physics, Heze University, Heze 274015, China; c Key Laboratory of Quantum Communication and Calculation, Heze University, Heze 274015, China
Abstract  A new kind of four-mode continuous variable coherent-entangled state is proposed in the Fock space by using the technique of integration within an ordered product, which exhibits both the properties of a coherent state and an entangled state, and spans a complete and orthonormal representation. The conjugate state of the four-mode continuous variable coherent-entangled state is derived by using the Fourier transformation. Moreover, a simple experimental protocol of generating a four-mode continuous variable coherent-entangled state is proposed by using beam splitters. As applications of this four-mode continuous variable coherent-entangled state, a four-mode entangled state and a four-mode squeezing-Fresnel operator are constructed.
Keywords:  coherent-entangled state      beam splitter      squeezing-Fresnel operator      technique of integration within an ordered product  
Received:  08 August 2011      Revised:  15 September 2011      Accepted manuscript online: 
PACS:  03.67.-a (Quantum information)  
  03.65.-w (Quantum mechanics)  
Fund: Project supported by the Natural Science Foundation of Shandong Province, China (Grant No. Y2008A16), the Specialized Research Fund for the Doctoral Program of Higher Education, China (Grant No. 20103705110001), the University Experimental Technology Foun

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Li Hong-Qi(李洪奇), Ren Ting-Qi(任廷琦), Zhang Yun-Hai(张运海), and Xu Xing-Lei(徐兴磊) Four-mode coherent-entangled state and its application 2012 Chin. Phys. B 21 010305

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