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Journal of Optics B Quantum and Semiclassical Optics

A simplified scheme for realizing Greenberger-Horne-Zeilinger states

Shi-Biao Zheng

Published Aug 13, 1999• 32 citations
Publisher

Abstract

In the context of cavity QED a scheme is proposed for the generation of Greenberger-Horne-Zeilinger (GHZ) states. In the scheme three appropriately prepared atoms are sent through an initially empty cavity. Choosing the interaction time of each atom with the field appropriately, the three atoms are finally in a state having the GHZ form. The scheme is easily generalized for preparing n -atom entangled states.

DOI
10.1088/1464-4266/1/5/307

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In the context of cavity QED a scheme is proposed for the generation of Greenberger-Horne-Zeilinger (GHZ) states. In the scheme three appropriately prepared atoms are sent through an initially empty cavity. Choosing the interaction time of each atom with the field appropriately, the three atoms are finally in a state having the GHZ form. The scheme is easily generalized for preparing n -atom entangled states.
A scheme is proposed for generating maximally entangled Greenberger-Horne-Zeilinger (GHZ) atomic states for testing quantum nonlocality. In the scheme, three atoms are simultaneously sent through a nonresonant cavity in a vacuum state. They are initially in the same state, and thus there is no energy exchange in the process. The cavity-assisted collision results in a phase-shift which depends upon the collective atomic excitations. In principle, the scheme can be generalized to generate N-atom GHZ states. The scheme is insensitive to cavity decay and requires only one cavity, providing new prospects for testing fundamental aspects of quantum mechanics and for quantum information processing.
We propose two schemes to one-step generate the three-particle Greenberger–Horne–Zeilinger state based on the resonant atom–cavity fields interaction. The whole process may be realized experimentally providing that simple apparatus, initial conditions, and some manipulation in principle are achieved. Finally, in the current or the near future experiment parameter, we show that the proposed schemes can maintain the state with high fidelity under the condition of atomic spontaneous emission and decay of cavity fields.
A scheme is proposed to deterministically generate multi-atom Greenberger–Horne–Zeilinger (GHZ) states trapped in coupled cavities, which is based on the adiabatic passage of the dark state. The scheme does not need to adjust the interaction time accurately and is insensitive to the fluctuations of some experimental parameters. However, we should choose the appropriate Rabi frequencies of the classical fields to achieve the optimal characteristic of the system. In addition, we also demonstrate numerically that it is robust against decoherence caused by the cavity decay and atomic spontaneous emission.