Adaption of Collins formula to fractional Fourier transform studied in the entangled state representation of quantum optics

Adaption of Collins diffraction formula to the fractional Fourier transform in complex form (FFT-C) is demonstrated in entangled state |η? representation of quantum optics. The additivity property of FFT-C corresponding to Collins formula has been proved by using group multiplication of the Fresnel operator and the quantum mechanical version of the Collins formula.     

Multiplication rule for the Collins diffraction formula obtained by virtue of the Fresnel operator in quantum optics theory

By using the Fresnel operator we derive a multiplication rule for the Collins diffraction formula; the inverse of Collins diffraction integration can also be conveniently derived in this way in the context of quantum optics theory.     

Analyzing dissipation effects on the non-classicality witnessing by a qubit via the entangled state representation

ABSTRACT

In this paper, we study detection of the state non-classicality for a quantum harmonic oscillator by a qubit in the presence of dissipation effects. We show that dissipation can enhance the effectiveness of the method in case of using the corrected form of the related nonclassicality witness. Such an improvement is attributed to the fact that dissipation leads to probing a surface, instead of a curve, of the complex plane for non-classicality condition on normally-ordered characteristic function.     

空分膜组件的使用效果与其联接方式间的关系

从串联与并联的角度，对不同联接方式下的空分膜组件的使用效果进行了比较。在试验数据分析的基础上，发现复合型空分膜组件的使用效果跟其联接方式有关，在产氮纯度较高时，串联的效果明显优于并联的，但对于均质型空分膜则不成立；同时要求在采用串联时，须综合考虑温降和压降的影响。