On the Entangled Fractional Fourier Transform in Tripartite Entangled State Representation |
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| Authors: | FAN Hong-Yi and JIANG Nian-Quan |
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| Affiliation: | Department of Material Science and Engineering, Universityof Science and Technology of China, Hefei 230026, China |
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| Abstract: | Based on the newly constructed two mutually conjugate 3-mode entangledstates of continuum variables in three-mode Fock space we introduceentangled fractional Fourier transform (EFFT) for the tripartite entangledstate representations, which are not a direct product of three 1-dimensionalFFTs. The eigenmodes of EFFT are obtained, which is different from the usual Hermite polynomials. The EFFT of the three-mode squeezed state is derived. |
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| Keywords: | entangled fractional Fourier transform entangled state eigenmodes |
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