Author Affiliations
Abstract
Center for Quantum Science and Technology, Jiangxi Normal University, Nanchang 330022, China
In this Letter, a new fractional entangling transformation (FrET) is proposed, which is generated in the entangled state representation by a unitary operator exp{iθ(ab +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{iθ(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.
270.0270 Quantum optics 070.2575 Fractional Fourier transforms Chinese Optics Letters
2015, 13(3): 030801