Chinese Optics Letters, 2015, 13 (3): 030801, Published Online: Sep. 25, 2018
New fractional entangling transform and its quantum mechanical correspondence Download: 913次
Abstract
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 θ ( a b + a 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 θ ( a a + b 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.
Shuang Xu, Liyun Hu, Jiehui Huang. New fractional entangling transform and its quantum mechanical correspondence[J]. Chinese Optics Letters, 2015, 13(3): 030801.