Non-Gaussianity detection of single-mode rotationally symmetric quantum states via cumulant method  

作　　者：向少华 黄利军 米贤武 Shao-Hua Xiang;Li-Jun Huang;Xian-Wu Mi(College of Physics,Electronics and Intelligent Manufacturing,Huaihua University,Huaihua 418008,China)

机构地区：[1]College of Physics,Electronics and Intelligent Manufacturing,Huaihua University,Huaihua 418008,China

出　　处：《Chinese Physics B》2024年第5期264-273,共10页中国物理B（英文版）

基　　金：Project supported by the Natural Science Foundation of Hunan Province of China(Grant No.2021JJ30535)。

摘　　要：The non-Gaussianity of quantum states incarnates an important resource for improving the performance of continuous-variable quantum information protocols.We propose a novel criterion of non-Gaussianity for single-mode rotationally symmetric quantum states via the squared Frobenius norm of higher-order cumulant matrix for the quadrature distribution function.As an application,we study the non-Gaussianities of three classes of single-mode symmetric non-Gaussian states:a mixture of vacuum and Fock states,single-photon added thermal states,and even/odd Schr¨odinger cat states.It is shown that such a criterion is faithful and effective for revealing non-Gaussianity.We further extend this criterion to two cases of symmetric multi-mode non-Gaussian states and non-symmetric single-mode non-Gaussian states.

关 键 词：non-Gaussianity criterion cumulant matrix quadrature distribution 

分 类 号：O413[理学—理论物理]