Revealing nonclassicality via s-ordered phase-space distribution  

作　　者：Yue Zhang Shuheng Liu Boxuan Jing Qiongyi He Shunlong Luo 

机构地区：[1]State Key Laboratory of Mesoscopic Physics,School of Physics,Frontiers Science Center for Nano-optoelectronics,Peking University,Beijing,100871,China [2]Beijing Academy of Quantum Information Sciences,Beijing,100193,China [3]Collaborative Innovation Center of Extreme Optics,Shanxi University,Taiyuan,030006,China [4]Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing,100190,China [5]School of Mathematical Sciences,University of Chinese Academy of Sciences,Beijing,100049,China

出　　处：《Science China(Physics,Mechanics & Astronomy)》2022年第11期90-96,共7页中国科学：物理学、力学、天文学（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.11975026,and 12125402);National Key R&D Program of China(Grant No.2020YFA0712700);China Postdoctoral Science Foundation(Grant No.2021M690414);Beijing Postdoctoral Research Foundation(Grant No.2021ZZ091);Beijing Natural Science Foundation(Grant No.Z190005)。

摘　　要：Nonclassical states play a crucial role in both theoretical and experimental investigations of quantum optics, and there is a wide interest in characterization and quantification of nonclassicality. By exploiting the freedom of the parameter s in the s-ordered phase-space distribution introduced by Cahill and Glauber [Phys. Rev. 177, 1882(1969)], we develop a method to reveal and quantify optical nonclassicality via the divided difference of the s-ordered phase-space distribution. Our approach yields naturally a family of quantifiers of optical nonclassicality, which have many desirable properties such as convexity and monotonicity under the Gaussian noise channels. The quantifiers are illustrated by evaluating nonclassicality of several typical states. Two simple and convenient criteria for nonclassicality are established, which in particular certify all nonclassical Gaussian states.

关 键 词：NONCLASSICALITY s-ordered phase-space distribution Gaussian states Gaussian noise channels 

分 类 号：O431.2[机械工程—光学工程]