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Chinese Physics B

Theoretical analysis of quantum game in cavity QED

Cao Shuai, Mao-Fa Fang, Jianbin Liu, Wang Xin-Wen, Zheng Xiao-Juan, Li Hai

Published Mar 1, 2009• 2 citations
Publisher

Abstract

Recent years, several ways of implementing quantum games in different physical systems have been presented. In this paper, we perform a theoretical analysis of an experimentally feasible way to implement a two player quantum game in cavity quantum electrodynamic(QED). In the scheme, the atoms interact simultaneously with a highly detuned cavity mode with the assistance of a classical field. So the scheme is insensitive to the influence from the cavity decay and the thermal field, and it does not require the cavity to remain in the vacuum state throughout the procedure.

DOI
10.1088/1674-1056/18/3/009

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Recent years, several ways of implementing quantum games in different physical systems have been presented. In this paper, we perform a theoretical analysis of an experimentally feasible way to implement a two player quantum game in cavity quantum electrodynamic(QED). In the scheme, the atoms interact simultaneously with a highly detuned cavity mode with the assistance of a classical field. So the scheme is insensitive to the influence from the cavity decay and the thermal field, and it does not require the cavity to remain in the vacuum state throughout the procedure.
We propose an experimentally feasible scheme for implementing quantum dense coding in cavity QED. In this scheme, the multi-atoms interact simultaneously with a highly detuned cavity mode, and are driven by a strong classical field. The scheme is insensitive to the cavity decay and the thermal field. Only one interaction between atoms and cavity is required. Multi-atom's GHZ-states can be exactly distinguished via detecting the atomic state, and the quantum dense coding can be realized in a simple way.
Following the proposal by [F. Yamaguchi et al. Phys. Rev. A 66, 010302(R) (2002)], we present an alternative way to implement the two-qubit Grover search algorithm in cavity QED. Compared with Yamaguchi et al.'s proposal, with a strong resonant classical field added, our method is insensitive to both the cavity decay and thermal field, and does not require that the cavity remain in the vacuum state throughout the procedure. Moreover, the qubit definitions are the same for both atoms, which makes the experiment easier. The strictly numerical simulation shows that our proposal is good enough to demonstrate a two-qubit Grover's search with high fidelity.