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Journal of the Optical Society of America B

Dissipative preparation of three-atom entanglement state via quantum feedback control

Wen-Mei Sun, Shi‐Lei Su, Zhao Jin, Yan Liang, Ai‐Dong Zhu, Hong‐Fu Wang, Shou Zhang

Published Aug 12, 2015• 23 citations
Publisher

Abstract

Two schemes are presented for generating steady three-atom Greenberger–Horne–Zeilinger and W states in a strongly dissipative cavity via quantum feedback control. The quantum feedback control is only applied to a single atom based on quantum-jump detection to improve the fidelity of the target state. Thus, cavity decay plays a key role in obtaining the target state. The required interaction time need not be accurately controlled.

DOI
10.1364/josab.32.001873

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Two schemes are presented for generating steady three-atom Greenberger–Horne–Zeilinger and W states in a strongly dissipative cavity via quantum feedback control. The quantum feedback control is only applied to a single atom based on quantum-jump detection to improve the fidelity of the target state. Thus, cavity decay plays a key role in obtaining the target state. The required interaction time need not be accurately controlled.
A robust and scalable scheme to generate a steady three-dimensional entangled state for a V-type atom and a Λ-type atom trapped in a strongly dissipative bimodal cavity is proposed by direct feedback control based on quantum-jump detection. The robustness of this scheme reflects in the insensitivity to detection inefficiencies and the strong ability against the parameter fluctuations in the feedback, driving, and coupling strengths. The influence of atomic spontaneous emission can be suppressed by using the local feedback control. The scalability is ensured that N -dimensional entangled states of two atoms can be deterministically generated.
We investigate the generation of a multibody Dicke state in a coupled cavity system subject to environmental noise. Based on quantum feedback control, cavity decay may play a constructive role in obtaining the intended state. The required interaction time need not be accurately controlled. In addition, the feedback operations are only applied to a single atom in one cavity during the whole evolution process, and it is not necessary to change the control strategy as the number of atoms increases. Thus, our proposal can exploit the core advantage of coupled cavities to implement a scalable control scheme for preparing multibody entanglement.
We propose an experimentally feasible scheme for dissipative preparation of a tripartite entangled state with atoms separately trapped in an array of three coupled cavities. The combination of coherent driving fields and quantum-jump-based feedback control will drive the system into a nonequilibrium steady state, which has a nearly perfect overlap with the genuine three-atom singlet state. Different control strategies are investigated and the corresponding optimal parameters are confirmed. Moreover, the fidelity of the target state is insensitive to detection inefficiencies, and it exceeds 90% for a wide range of decoherence parameters as long as the single-atom cooperativity parameter $C\ensuremath{\equiv}{g}^{2}/(\ensuremath{\gamma}\ensuremath{\kappa})>350$.