On the Entangled Fractional Fourier Transform in Tripartite Entangled State Representation
Fan Hong‐Yi, Nian-Quan Jiang
Based on the newly constructed two mutually conjugate 3-mode entangled states of continuum variables in three-mode Fock space we introduce entangled fractional Fourier transform (EFFT) for the tripartite entangled state representations, which are not a direct product of three 1-dimensional FFTs. The eigenmodes of EFFT are obtained, which is different from the usual Hermite polynomials. The EFFT of the three-mode squeezed state is derived.
Communications in Theoretical Physics•Jul 15, 2003•8 citations