| Two mutually conjugated tripartite entangled states and their fractional Fourier transformation kernel |
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| 作者姓名： | 吕翠红 范洪义 姜年权 |
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| 作者单位： | Department of Material Science and Engineering,University of Science and Technology of China College of Physics and Electronic Information,Wenzhou University |
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| 基金项目： | Project supported by the Specialized Research Fund for Doctoral Program of High Education of China, and the National Natural Science Foundation of China (Grant Nos. 10874174 and 10947017/A05). |
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| 摘 要： | We newly construct two mutually-conjugate tripartite entangled state representations,based on which we propose the formulation of three-mode entangled fractional Fourier transformation(EFFT) and derive the transformation kernel.The EFFT’s additivity property is proved and the eigenmode of EFFT is derived.As an application,we calculate the EFFT of the three-mode squeezed vacuum state.
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| 关 键 词： | tripartite entangled state three-mode entangled fractional Fourier transformation the technique of integral within an ordered product of operators |
| 收稿时间： | 2010-05-11 |
Two mutually conjugated tripartite entangled states and their fractional Fourier transformation kernel |
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| Lü Cui-Hong,Fan Hong-Yi,Jiang Nian-Quan.Two mutually conjugated tripartite entangled states and their fractional Fourier transformation kernel[J].Chinese Physics B,2010,19(12):120303-120303. |
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| Authors: | Lü Cui-Hong Fan Hong-Yi Jiang Nian-Quan |
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| Institution: | Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China;Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China;College of Physics and Electronic Information, Wenzhou University, Wenzhou 325035, China |
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| Abstract: | We newly construct two mutually-conjugate tripartite entangled state representations, based on which we propose the formulation of three-mode entangled fractional Fourier transformation (EFFT) and derive the transformation kernel. The EFFT's additivity property is proved and the eigenmode of EFFT is derived. As an application, we calculate the EFFT of the three-mode squeezed vacuum state. |
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| Keywords: | tripartite entangled state three-mode entangled fractional Fourier transformation the technique of integral within an ordered product of operators |
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