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Journal of the Optical Society of America B

Scheme for implementing W state, Greenberger–Horne–Zeilinger state, and cluster state via cavity-assisted interaction

Bao‐Long Fang, Ye Liu

Published Mar 30, 2012• 1 citation
Publisher

Abstract

We propose a proposal for preparing the entanglement state among four trapped atoms via cavity-assisted interaction. In this scheme, a basic architecture will be built to produce the entangled state of four remote atoms. By adjusting a series of parameters and taking the single-photon pulses measurement, the architecture can realize the W state, the Greenberger–Horne–Zeilinger state, and the cluster state. Further, this scheme is insensitive to variation of the atom–photon coupling rate.

DOI
10.1364/josab.29.000841

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Communications in Theoretical Physics•Mar 1, 2008•1 citation
We propose a proposal for preparing the entanglement state among four trapped atoms via cavity-assisted interaction. In this scheme, a basic architecture will be built to produce the entangled state of four remote atoms. By adjusting a series of parameters and taking the single-photon pulses measurement, the architecture can realize the W state, the Greenberger–Horne–Zeilinger state, and the cluster state. Further, this scheme is insensitive to variation of the atom–photon coupling rate.
We propose how to prepare four remote logical qubits, with each in a separate cavity and encoded in the decoherence-free subspace by two atoms, into various entangled states. By means of the cavity-assisted photon scattering, we can link the four remote logical qubits in different cavities to be, respectively, WWW state, Greenberger-Horne-Zeilinger state, and cluster state, which are important in view of the distributed quantum information processing. The generation of the latter two entangled states can be theoretically generalized to many-qubit cases. Because our qubits are defined in dephasing-free subspace, our scheme is immune to dephasing during or even after the entanglement preparation.
We propose a unified scheme to generate WWW states, Greenberger-Horne-Zeilinger (GHZ) states, and cluster states of four distant atoms, which are trapped separately in leaky cavities. The proposed schemes require linear optical elements and photon detectors with single-photon sensitivity. The quantum noise influences the fidelity of the generated states. Further, based on the four-photon coincidence detection, we propose another scheme to generate the WWW states and GHZ states of four distant atoms. The scheme is insensitive to the quantum noise, but cannot be used to generate the cluster states.
This paper proposes a scalable scheme to generate n -atom GHZ states and cluster states by using the basic building block, i.e., a weak coherent optical pulse |α〉 being reflected successively from a single-atom cavity. In the schemes, coherent state of light is used instead of single photon source, homodyne measurement on coherent light is done instead of single photon detection, and no need for individually addressing keeps the schemes easy to implement from the experimental point of view. The successful probabilities of our protocols approach unity in the ideal case.
We propose schemes to prepare n-atom Greenberger–Horne–Zeilinger (GHZ) state via two-sided cavities interacting with single-photon pulses, and achieve quantum state transfer (QST) from one atom to another atom. Entanglement particle pair and the control of coupling between qubits are of no need in the QST process. Some practical quantum noises only decrease the success probabilities of the schemes but have no influence on the fidelity of prepared state. In addition, the success probabilities of our schemes are close to unity in the ideal case.