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ACTA PHOTONICA SINICA

Simple Scheme for Preparation of Six-photon Entangled States via Cross-Kerr Medium

朱孟正 Zhu Meng-zheng, 赵春然 Zhao Chun-ran

Published Jan 1, 2011• 0 citations
Publisher

Abstract

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.

DOI
10.3788/gzxb20114010.1469

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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 show how to prepare three different types of four-photon polarization entangled states among four modes. The scheme only use cross-Kerr medium, polarization beam splitters and X homodyne measurements on coherent light fields, which can be efficiently implemented in quantum optical laboratories. GHZ states and symmetric Dick states can be generated in deterministic way based on the scheme. With the possible availability of suitable strong Kerr nonlinearity, another type of entangled state called genuine four-photon entangled state can be realized as well.
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.
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.
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.
A scheme is proposed for generating a polarization four-photon cluster state based on weak cross-Kerr nonlinearity. Compared with the existing schemes, the distinct feature of the present scheme would be its preparation with near-perfect fidelity due to homodyne measurement on the probe mode. After the probe mode interacts successively with multiple signal-mode photons, sixteen terms about the signal modes can be divided into four groups with the help of homodyne measurement. Each group can be transformed into the cluster state through the appropriate local operations. Thus the present scheme has a high success probability. Because it is difficult to obtain deterministic single-photon sources for current experimental technology, the realistic success probability is rather low but is preponderant in contrast to the existing schemes.