A new theorem relating quantum tomogram to the Fresnel operator

作者：Xie Chuan Mei^*; Fan Hong Yi

来源：Chinese Physics B, 2011, 20(6): 060303.

DOI：10.1088/1674-1056/20/6/060303

• quantum tomogram
• Fresnel operator
• Weyl correspondence

According to Fan-Hu's formalism (Fan Hong-Yi and Hu Li-Yun 2009 Opt. Commun. 282 3734) that the tomogram of quantum states can be considered as the module-square of the state wave function in the intermediate coordinate momentum representation which is just the eigenvector of the Fresnel quadrature phase, we derive a new theorem for calculating quantum tomogram of density operator, i.e., the tomogram of a density operator rho is equal to the marginal integration of the classical Weyl correspondence function of F-dagger rho F, where F is the Fresnel operator. Applications of this theorem to evaluating the tomogram of optical chaotic field and squeezed chaotic optical field are presented.

• 出版日期2011-6
• 单位中国科学技术大学; 安徽大学