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Two mutually conjugated tripartite entangled states and their fractional Fourier transformation kernel |
| LÜ Cui-Hong(吕翠红)a), Fan Hong-Yi(范洪义) a), and Jiang Nian-Quan(姜年权)b)†ger |
| a Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China; b 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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Received: 11 May 2010
Revised: 28 July 2010
Accepted manuscript online:
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PACS:
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02.10.Ud
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(Linear algebra)
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02.30.Nw
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(Fourier analysis)
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02.30.Uu
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(Integral transforms)
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03.65.Fd
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(Algebraic methods)
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03.65.Ud
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(Entanglement and quantum nonlocality)
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| Fund: 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). |
Cite this article:
LÜ Cui-Hong(吕翠红), Fan Hong-Yi(范洪义), and Jiang Nian-Quan(姜年权) Two mutually conjugated tripartite entangled states and their fractional Fourier transformation kernel 2010 Chin. Phys. B 19 120303
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