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Optik

Optical transformation from the coherent state to the quantum entangled state of continuous variables

Fang Jia, Hong-Yi Fan, Zhen Wang

Published Nov 9, 2012• 4 citations
Publisher
DOI
10.1016/j.ijleo.2012.08.037

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A new kind of continuous variable n -mode coherent–entangled state (CV-NCES) | x 2 , x 3 , ⋅⋅⋅, x n , α〉 is proposed, which exhibits both the properties of a coherent state and an entangled state, and spans a complete and orthonormal representation. The conjugate state of CV-NCES is derived by the Fourier transformation. Moreover, a simple experimental protocol of generating a CV-NCES is proposed by using beam splitters. As applications of this CV-NCES in quantum optics, a new n -mode squeezing-Fresnel operator is constructed.
A new kind of four-mode continuous variable coherent-entangled state is proposed in the Fock space by using the technique of integration within an ordered product, which exhibits both the properties of a coherent state and an entangled state, and spans a complete and orthonormal representation. The conjugate state of the four-mode continuous variable coherent-entangled state is derived by using the Fourier transformation. Moreover, a simple experimental protocol of generating a four-mode continuous variable coherent-entangled state is proposed by using beam splitters. As applications of this four-mode continuous variable coherent-entangled state, a four-mode entangled state and a four-mode squeezing-Fresnel operator are constructed.