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理论物理通讯:英文版

Generation of Multi-atom Entanglement of Greenberger-Horne-Zeilinger and W States in Cavity QED

ZHANGRong, Rong, Жу, Shi-Qun

Published Jan 1, 2004• 0 citations
OpenAlex

Abstract

A method to prepare multi-particle entanglement of Greenberger-Horne-Zeilinger-type and W-type is proposed through the interaction between the cavity and many atoms simultaneously . After suitable interaction, the selected measurements on the cavity field can create the entangled atomic states. These entangled states can be useful for quantum information manipulation and fundamental study of quantum theory. These states that violate the Bell's inequality are proven.

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A method to prepare multi-particle entanglement of Greenberger-Horne-Zeilinger-type and W-type is proposed through the interaction between the cavity and many atoms simultaneously . After suitable interaction, the selected measurements on the cavity field can create the entangled atomic states. These entangled states can be useful for quantum information manipulation and fundamental study of quantum theory. These states that violate the Bell's inequality are proven.
A scheme is proposed for generating Greenberger-Horne-Zeilinger (GHZ) entangled states of multiple superconducting quantum-interference device (SQUID) qubits by the use of a microwave cavity. The scheme operates essentially by creating a single photon through an auxiliary SQUID built in the cavity and performing a joint multiqubit phase shift with assistance of the cavity photon. It is shown that entanglement can be generated using this method, deterministic and independent of the number of SQUID qubits. In addition, we show that the present method can be applied to preparing many atoms in a GHZ entangled state, with tolerance to energy relaxation during the operation.
I propose a method to prepare four atoms in an entangled state of the type discussed by Greenberger, Horne, and Zeilinger [in Bell's Theorem, Quantum Theory and Conceptions of the Universe, edited by M. Kafatos (Kluwer Academic, Dordrecht, 1989), p. 107]. The method involves two micromaser cavities, each supporting two modes initially prepared in a nonlocalized two-photon state by an atom undergoing a two-photon transition. Subsequently, two atoms pass through each cavity, becoming entangled in a Greenberger-Horne-Zeilinger state leaving the cavities in the vacuum. \textcopyright{} 1996 The American Physical Society.
We present a scheme to entangle fields in multiple cavities. Our scheme is based on the resonant interaction of a Ξ-type three-level atom with the cavity fields for precalculated interaction time, which enables us to generate a quantum entangled Greenberger–Horn–Zeilinger (GHZ) state of fields in multiple cavities. In principle, the scheme can be also generalized to generate N -party GHZ state. The required experimental techniques are within the scope of what can be obtained in the microwave cavity QED set up.