3D entangled fractional squeezing transformation and its quantum mechanical correspondence

doi:10.1007/s11467-015-0538-1

Front. Phys.

2016, Vol. 11

Issue (3) : 110302 https://doi.org/10.1007/s11467-015-0538-1

RESEARCH ARTICLE

3D entangled fractional squeezing transformation and its quantum mechanical correspondence

Fang Jia^1,²,Shuang Xu¹,Cheng-Zhi Deng³,Cun-Jin Liu¹,Li-Yun Hu^1,^*(

)

¹. Center for Quantum Science and Technology, Jiangxi Normal University, Nanchang 330022, China
². Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China
³. School of Information Engineering, Nanchang Institute of Technology, Nanchang 330099, China

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Abstract

A new type of entangled fractional squeezing transformation (EFrST) has been theoretically proposed for 2D entanglement [Front. Phys. 10, 100302 (2015)]. In this paper, we shall extend this case to that of 3D entanglement by introducing a type of three-mode entangled state representation, which is not the product of three 1D cases. Using the technique of integration within an ordered product of operators, we derive a compact unitary operator corresponding to the 3D fractional entangling transformation, which is an entangling operator that presents a clear transformation relation. We also verified that the additivity property of the novel 3D EFrST is of a Fourier character by using its quantum mechanical description. As an application of this representation, the EFrST of the three-mode number state is calculated using the quantum description of the EFrST.

Keywords entangled fractional squeezing transformation entangled state representation

Corresponding Author(s): Li-Yun Hu

Online First Date: 30 December 2015 Issue Date: 08 June 2016

Cite this article:

Fang Jia,Shuang Xu,Cheng-Zhi Deng, et al. 3D entangled fractional squeezing transformation and its quantum mechanical correspondence[J]. Front. Phys. , 2016, 11(3): 110302.

URL:

https://academic.hep.com.cn/fop/EN/10.1007/s11467-015-0538-1
https://academic.hep.com.cn/fop/EN/Y2016/V11/I3/110302

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[4]	Hong-Yi Fan, Shuai Wang, Li-Yun Hu. Evolution of the single-mode squeezed vacuum state in amplitude dissipative channel[J]. Front. Phys. , 2014, 9(1): 74-81.

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