We propose a superconducting qutrit-resonator chain model, and analytically work out forms of its topological edge states. The existence of the zero-energy mode enables one to generate a state transfer between two ends of the chain, accompanied with state flips of all intermediate qutrits, based on which $N$-body Greenberger-Horne-Zeilinger (GHZ) states can be generated with great robustness against disorders of coupling strengths. Three schemes of generating large-scale GHZ states are designed, each of which possesses the robustness against loss of qutrits or of resonators, meeting a certain performance requirement of different experimental devices. With experimentally feasible qutrit-resonator coupling strengths and available coherence times of qutrits and resonators, it has a potential to generate large-scale GHZ states among dozens of qutrits with a high fidelity. Further, we show the experimental consideration of generating GHZ states based on the circuit QED system, and discuss the prospect of realizing fast GHZ states.

中文翻译：

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大型Greenberger-Horne-Zeilinger通过超导Qutrit-谐振器链中的拓扑受保护的零能量模式进行陈述

我们提出了超导Qutrit-谐振器链模型，并分析出其拓扑边缘状态的形式。零能量模式的存在使人们能够在链的两端之间生成状态转移，并伴随着所有中间qutrit的状态翻转。$ñ$体Greenberger-Horne-Zeilinger（GHZ）态可以很强地抵抗耦合强度的紊乱。设计了三种生成大规模GHZ状态的方案，每种方案都具有抵抗qutrit或谐振器损耗的鲁棒性，满足不同实验设备的一定性能要求。具有实验上可行的qutrit-谐振器耦合强度以及qutrit和谐振器的可用相干时间，它具有在数十个qutrit中以高保真度生成大规模GHZ状态的潜力。此外，我们展示了基于电路QED系统生成GHZ状态的实验考虑，并讨论了实现快速GHZ状态的前景。