We deduce entangled fractional Fourier transformation （EFFT） for the multipartite entangled state representation, which was newly constructed with two mutually conjugate n-mode entangled states of continuum variable...We deduce entangled fractional Fourier transformation （EFFT） for the multipartite entangled state representation, which was newly constructed with two mutually conjugate n-mode entangled states of continuum variables in n-mode Fock space. We establish a formalism of EFFT for quantum mechanical wave functions, which provides us a convenient way to derive some wave functions. We find that the eigenmode of EFFT is different from the usual Hermite Polynomials. We also derive the EFFT of the n-mode squeezed state.展开更多
基金The project supported by 0pen Foundation of Laboratory of High-Intensity 0ptics, Shanghai Institute of 0ptics and Fine Mechanics
文摘We deduce entangled fractional Fourier transformation （EFFT） for the multipartite entangled state representation, which was newly constructed with two mutually conjugate n-mode entangled states of continuum variables in n-mode Fock space. We establish a formalism of EFFT for quantum mechanical wave functions, which provides us a convenient way to derive some wave functions. We find that the eigenmode of EFFT is different from the usual Hermite Polynomials. We also derive the EFFT of the n-mode squeezed state.
