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Communications in Theoretical Physics

Robust Generation of Three-Particle W State with Atoms Trapped in Separate Cavities

Bin Xin, Ren-Xu Jia, Yi-Zhuang Zheng

Published Oct 1, 2012• 0 citations
Publisher

Abstract

This paper presents a scheme for generating three-particle W state of remote atoms trapped in leaky cavities. The scheme uses cavity decay to inject photons into a setup of optical devices which consist of a series of beam splitters and photon detectors. Photon detection on the output mode projects the atomic state into the W state. In the condition of "weakly driven approach", it shows that the scheme is robust and has high fidelity. It also points out that the scheme is scalable to generate multi-atomic W state.

DOI
10.1088/0253-6102/58/4/07

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This paper presents a scheme for generating three-particle W state of remote atoms trapped in leaky cavities. The scheme uses cavity decay to inject photons into a setup of optical devices which consist of a series of beam splitters and photon detectors. Photon detection on the output mode projects the atomic state into the W state. In the condition of "weakly driven approach", it shows that the scheme is robust and has high fidelity. It also points out that the scheme is scalable to generate multi-atomic W state.
We propose a scheme to generate a four-particle Greenberger-Horne-Zeilinger (GHZ) state of distant atoms that are trapped separately in leaky cavities. This scheme uses cavity decay to inject photons into a setup of optical devices that consist of a symmetric series of beam splitters and photon detectors. Photon detection on the output modes of the beam splitters projects the atom-cavity-system state onto the GHZ state. It is briefly pointed out that this scheme can be extended to generate GHZ states of 4m4m4m atoms.
We show a way to use an optical device set-up to generate the four-particle Greenberger–Horne–Zeilinger (GHZ) state of atoms, which are trapped separately in leaky cavities. Based on cavity decay, photons are transferred from the atom–cavity systems to a symmetric series of beam splitters and photon detectors. The events of photon detection on the output modes of the beam splitters project the state of the atom–cavity systems onto the GHZ state. It is briefly pointed out how this scheme can be extended to generate GHZ states of 4 m atoms.
A scheme is presented for generating entangled states of multiple atoms in a cavity. In the scheme the atoms simultaneously interact with a cavity mode, with the first atom driven by two classical fields and the other atoms driven by a classical field. Our scheme is valid even if the cavity decay rate is larger than the effective coupling strength, which is important for experiment. The generation of entangled states is conditional on the detection of a photon decaying from the cavity and thus the fidelity of the entangled state is insensitive to the detection inefficiency. Furthermore, the scheme can be applied to the case with any number of atoms in principle.
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.
Based on the interference effect of polarized photons leaking out of separate cavities, we propose schemes for the generation of the N -atom Greenberger–Horne–Zeilinger (GHZ) state, three-atom W state and a genuine four-atom entangled state |χ⟩. In these schemes, each of the atoms is trapped separately in a remote optical cavity, and the possible spontaneous channels induced by the excited atoms lead to the coherent superposition of the states of the atoms. The desired multipartite entangled states can be generated with a certain success probability by the subsequent detection of the polarized photons in different modes. The schemes would be useful steps towards long-distance quantum communication, distributed quantum computation and constructing remote quantum information processing networks.