International Journal of Theoretical Physics

New Pair of Mutually Conjugate 3-Mode Entangled State Representations and the Corresponding Fractional Fourier Transformation

LU Dao-ming

Published Mar 13, 2014• 0 citations

DOI: 10.1007/s10773-014-2032-x

Related papers

Convolution theorem for the three-dimensional entangled fractional Fourier transformation deduced from the tripartite entangled state representation

Shuguang Liu, Hong-Yi Fan

Theoretical and Mathematical PhysicsDec 1, 20094 citations

New Two-Mode Canonical Operator Realization of Angular Momentum and Generalized Fractional Fourier Transformation Obtained via Entangled State Representation

Hong-Yi Fan, Junhua Chen, Sen-yue Low

International Journal of Theoretical PhysicsMay 2, 20140 citations

EPR entangled states and complex fractional Fourier transformation

Hong-Yi Fan, Yue Fan

The European Physical Journal DNov 1, 200216 citations

Two mutually conjugated tripartite entangled states and their fractional Fourier transformation kernel

吕翠红 L Cui-hong, Fan Hong‐Yi, Nian-Quan Jiang

We newly construct two mutually-conjugate tripartite entangled state representations, based on which we propose the formulation of three-mode entangled fractional Fourier transformation (EFFT) and derive the transformation kernel. The EFFT's additivity property is proved and the eigenmode of EFFT is derived. As an application, we calculate the EFFT of the three-mode squeezed vacuum state.

Chinese Physics BDec 1, 20107 citations

New entangled state representation and its characteristics for the three compatible operators

LU Dao-ming

Optoelectronics LettersAug 23, 20130 citations

NEW n-MODE BOSE OPERATOR REALIZATION OF SU(2) LIE ALGEBRA AND ITS APPLICATION IN ENTANGLED FRACTIONAL FOURIER TRANSFORM

Hong-Yi Fan, Shuguang Liu

We introduce a new n-mode Bose operator realization of SU(2) Lie algebra and link it to the two mutually conjugate multipartite entangled state representations. In so doing we are naturally lead to the n-mode entangle fractional Fourier transform (EFFT), which provides us with a convenient way to deriving the EFFT of quantum-mechanical wave functions.

Modern Physics Letters AMar 14, 20096 citations