论文标题
添加的光子和减去Qudit状态的高阶非阶段
Higher-Order Nonclassicality in Photon Added and Subtracted Qudit States
论文作者
论文摘要
这里研究了添加R光子和T光子减去QUDIT状态（分别称为RPAQS和TPSQS）的高阶非经典性质，以回答：如何使用光子的加法和减法工程师的高阶非阶段Qudit状态的非阶段非阶级性质？为了获得相关的骨磁场运算符的更高阶段，首先是为RPAQ和TPSQS获得的，随后使用相关状态来研究相应状态的更高阶段的非阶段性质。首先使用了一些高阶非经典性的见证人（例如，高阶抗抗挑战，高阶挤压，高阶次佛罗斯尼亚光子光子统计量）首先使用来确定RPAQ和TPSQS高度非分类。发现这些证人表明，非经典性的量随添加的光子数量（R）增强。为了定量建立这一观察结果并进行RPAQ和TPSQ之间的比较，将RPAQ和TPSQS负函数负函数负数（非经典体积）的体积计算为非阶级性的定量度量。最后，为了获得所获得的结果的验证性，还报告了光学断层图，可以通过radton变换在实验上获得，并用于实验中获得Wigner函数（通常不可直接测量）。在整个研究中，将特定类型的QUDIT状态称为新的广义二项式状态。
Higher-order nonclassical properties of r photon added and t photon subtracted qudit states (referred to as rPAQS and tPSQS, respectively) are investigated here to answer: How addition and subtraction of photon can be used engineer higher-order nonclassical properties of qudit states? To obtain the answer higher-order moment of relevant bosonic field operators are first obtained for rPAQS and tPSQS, and subsequently the same is used to study the higher-order nonclassical properties of the corresponding states. A few witnesses of higher-order nonclassicality (e.g. Higher-Order Antibunching, Higher-Order Squeezing of Hillery type, Higher-Order sub-Poissonian Photon statistics) are first used to establish that rPAQS and tPSQS are highly nonclassical. These witnesses are found to indicate that the amount of nonclassicality enhances with the number of photon added (r). To quantitatively establish this observation and to make a comparison between rPAQS and tPSQS, volumes of the negative part of Wigner function (nonclassical volume) of rPAQS and tPSQS are computed as a quantitative measure of nonclassicality. Finally, for the sake of verifiablity of the obtained results, optical tomograms are also reported which can be obtained experimentally and used to produce Wigner function (which is not directly measurable in general) by the Radon transform. Throughout the study, a particular type of qudit state named as a new generalized binomial state is used as an example.
