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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Entanglement generation with coherent light via cross-Kerr-nonlinearity

Zhi‐Ming Zhang, Jian Hua Yang, Ya‐Fei Yu

Published Oct 26, 2007• 0 citations
Publisher

Abstract

We propose a scheme for generating entangled states of light fields. This scheme only requires the cross-Kerr nonlinear interaction between coherent light-beams, followed by a homodyne detection. Therefore, this scheme is within the reach of current technology. We study in detail the generation of the entangled states between two modes, and that among three modes. In addition to the Bell states between two modes and the W states among three modes, we find plentiful new kinds of entangled states. Finally, the scheme can be extend to generate the entangled states among more than three modes.

DOI
10.1117/12.755488

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We propose a scheme for generating entangled states of light fields. This scheme only requires the cross-Kerr nonlinear interaction between coherent light beams, followed by a homodyne detection. Therefore, this scheme is within the reach of current technology. We study in detail the generation of the entangled states between two modes, and that among three modes. In addition to the Bell states between two modes and the W states among three modes, we find plentiful new kinds of entangled states. Finally, the scheme can be extended to generate the entangled states among more than three modes.
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A scheme is presented for preparing maximally entangled states among six modes.The scheme only utilizes weak cross-Kerr nonlinearity and momentum quadrature homodyne measurements on the probe mode of intense coherent light fields.It is relatively easy to generate Dicke states and W states of light fields in the scheme.It is not necessary that the cross-Kerr nonlinearity is very large,as long as the coherent light is bright enough.Therefore,this scheme is within the reach of current technology.In addition,only weak coherent light beams,with which single-photon sources have been replaced in the signal modes,are needed in the present scheme since it is difficult to realize single-photon sources in experiments.
We propose two schemes for preparing four-photon cluster state through cross-Kerr nonlinearity. Two coherent fields interact when they enter a nonlinear Kerr medium. If the interaction time is chosen appropriately in each Kerr medium, four-photon cluster state can be generated based on the results of two homodyne detectors in the first scheme. These schemes only use Kerr medium and homodyne measurements on coherent light fields, which can be efficiently made in quantum optical laboratories. In addition, weak cross-Kerr nonlinearity is sufficient. All of the properties make these schemes feasible in experiments.