Quantum Optical Squeezing Transform for Generalizing Fractional Fourier Transform

摘要

By establishing the relation between the optical scaled fractional Fourier transform (FFT) and quantummechanical squeezing-rotating operator transform,we employ the bipartite entangled state representation of two-modesqueezing operator to extend the scaled FFT to more general cases,such as scaled complex FFT and entangled scaledFFT.The additivity and eigenmodes are presented in quantum version.The relation between the scaled FFT andsqueezing-rotating Wigner operator is studied.