One-step achievement of robust multipartite Greenberger-Horne-Zeilinger state and controlled-phase gate via Rydberg interaction

Abstract

We present a proposal for generation of a robust tripartite Greenberger-Horne-Zeilinger state among three-individual neutral Rydberg atoms. By modulating the relation between two-photon detuning and Rydberg interaction strength $U_{ij}(r)$, an effective Raman coupling is obtained between the hyperfine ground states $|F=2,M=2⟩$ of three ${}^{87}$Rb atoms and the Rydberg states $|rrr⟩$ via the third-order perturbation theory. This method is also capable of implementing a three-qubit controlled-phase gate with each qubit encoded into the hyperfine ground states $|F=1,M=1⟩$ and $|F=2,M=2⟩$. As an extension, we generalize our scheme to the case of multipartite GHZ state and quantum gate in virtue of high-order perturbation theory.

6 pages, 5 figures

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Cited by in corpus (4)

• High-fidelity parallel entangling gates on a neutral atom quantum computer
• Quantum logic and entanglement by neutral Rydberg atoms: methods and fidelity
• Ground-state blockade of Rydberg atoms and application in entanglement generation
• Entangled state fusion with Rydberg atoms