摘要
By establishing the relation between the optical scaled fractional Fourier transform （FFT） and quantum mechanical squeezing-rotating operator transform, we employ the bipartite entangled state representation of two-mode squeezing operator to extend the scaled FFT to more general cases, such as scaled complex FFT and entangled scaled FFT. The additiyity and eigenmodes are presented in quantum version. The relation between the scaled FFT and squeezing-rotating Wigner operator is studied.
基金
National Natural Science Foundation of China under Grant Nos.10775097,10874174,and 10647133
the Natural Science Foundation of Jiangxi Province under Grant Nos.2007GQS1906 and 2007GZS1871
the Research Foundation of the Education Department of Jiangxi Province under Grant No.[2007]22
