Dissipative preparation of multipartite Greenberger-Horne-Zeilinger states of Rydberg atoms

• Published in: Chinese physics B Vol. 30; no. 2; pp. 23201 - 84
• Main Authors: Yang, Chong, Li, Dong-Xiao, Shao, Xiao-Qiang
• Format: Journal Article
• Language: English
• Published: Center for Quantum Sciences and School of Physics,Northeast Normal University,Changchun 130024,China 01.02.2021; Center for Advanced Optoelectronic Functional Materials Research,and Key Laboratory for UV Light-Emitting Materials and Technology of Ministry of Education,Northeast Normal University,Changchun 130024,China%School of Physics,International Joint Laboratory on Quantum Sensing and Quantum Metrology,Huazhong University of Science and Technology,Wuhan 430074,China
• Subjects: Rydberg antiblockade; quantum dissipation; Lyapunov control; multipartite entanglement
• ISSN: 1674-1056; 2058-3834
• DOI: 10.1088/1674-1056/abd755

The multipartite Greenberger–Horne–Zeilinger (GHZ) states play an important role in large-scale quantum information processing. We utilize the polychromatic driving fields and the engineered spontaneous emissions of Rydberg states to dissipatively drive three- and four-partite neutral atom systems into the steady GHZ states, at the presence of the next-nearest neighbor interaction of excited Rydberg states. Furthermore, the introduction of quantum Lyapunov control can help us optimize the dissipative dynamics of the system so as to shorten the convergence time of the target state, improve the robustness against the spontaneous radiations of the excited Rydberg states, and release the limiting condition for the strengths of the polychromatic driving fields. Under the feasible experimental conditions, the fidelities of three- and four-partite GHZ states can be stabilized at 99.24 % and 98.76 %, respectively.