A Generalized Hadamard-Fresnel Complementary Transformation Derived by Virtue of New Coherent-Entangled State

作者：Xu Xing Lei^*; Xu Shi Min; Li Hong Qi; Wang Ji Suo

来源：International Journal of Theoretical Physics, 2011, 50(2): 385-394.

DOI：10.1007/s10773-010-0540-x

• Generalized Hadamard-Fresnel transformation
• Coherent-entangled state
• IWOP technique

The new coherent-entangled state vertical bar z, x; theta > is proposed in the two-mode Fock space, which exhibits both the properties of coherent and entangled states. The completeness relation of vertical bar z, x; theta > is proved by virtue of the technique of integral within an ordered product of operators. A generalized Hadamard-Fresnel complementary transformation derived by virtue of the coherent-entangled state vertical bar z, x; theta >, which is unitary. The new unitary operator plays the role of both Hadamard transformation for ((a) over cap (1) sin theta - (a) over cap (2) cos theta) and Fresnel transformation for ((a) over cap (1) cos theta + (a) over cap (2) sin theta ), respectively.

• 出版日期2011-2
• 单位菏泽学院; 聊城大学