New fractional entangling transform and its quantum mechanical correspondence

作者：Xu, Shuang; Hu, Liyun^*; Huang, Jiehui

来源：Chinese Optics Letters, 2015, 13(3): 030801.

DOI：10.3788/COL201513.030801

In this Letter, a new fractional entangling transformation (FrET) is proposed, which is generated in the entangled state representation by a unitary operator exp{i theta(dab(dagger) + a(dagger)b)} where a(b) is the Bosonic annihilate operator. The operator is actually an entangled one in quantum optics and differs evidently from the separable operator, exp{i theta(d(dagger)b + b(dagger)b)}, of complex fractional Fourier transformation. The additivity property is proved by employing the entangled state representation and quantum mechanical version of the FrET. As an application, the FrET of a two-mode number state is derived directly by using the quantum version of the FrET, which is related to Hermite polynomials.

• 出版日期2015-3-10
• 单位江西师范大学