We propose an entangled fractional squeezing transformation （EFrST） generated by using two mu- tually conjugate entangled state representations with the following operator： e-iα（a1a2＋a1a2）eiπa2a2; this transfo...We propose an entangled fractional squeezing transformation （EFrST） generated by using two mu- tually conjugate entangled state representations with the following operator： e-iα（a1a2＋a1a2）eiπa2a2; this transformation sharply contrasts the complex fractional Fourier transformation produced by e-ia（a1a1＋a2a2）eiπa2a2 （see Front. Phys. DOI 10.1007/s11467-014-0445-x）. The EFrST is obtained by converting the triangular functions in the integration kernel of the usual fractional Fourier transformation into hyperbolic functions, i.e., tan α→ tanh α and sin α→ sinh α. The fractional property of the EFrST can be well described by virtue of the properties of the entangled state representations.展开更多
文摘We propose an entangled fractional squeezing transformation （EFrST） generated by using two mu- tually conjugate entangled state representations with the following operator： e-iα（a1a2＋a1a2）eiπa2a2; this transformation sharply contrasts the complex fractional Fourier transformation produced by e-ia（a1a1＋a2a2）eiπa2a2 （see Front. Phys. DOI 10.1007/s11467-014-0445-x）. The EFrST is obtained by converting the triangular functions in the integration kernel of the usual fractional Fourier transformation into hyperbolic functions, i.e., tan α→ tanh α and sin α→ sinh α. The fractional property of the EFrST can be well described by virtue of the properties of the entangled state representations.
