Il Nuovo Cimento B
Fractional entangled Fourier transform and non-unitary SU(2) bosonic operator realization
Nian-Quan Jiang, Hong-Yi Fan
Abstract
We find that the two mutually conjugate tripartite entangled-state representations are connected by the so-called 3-dimensional entangled Fourier transform (EFT). Extending EFT to fractional entangled Fourier transform and recasting the latter into the matrix element of an appropriate operator in the tripartite entangled-state representations by using a new non-unitary SU(2) bosonic operator realization and tripartite squeezing operator is presented.