Optimal generation of photon Fock states is of significance to quantum science and technology. Here we develop a theoretical scheme for fast generating microwave photon Fock states in a circuit quantum electrodynamics (QED) via invariant-based shortcuts to adiabaticity. A superconducting transmon qubit is dispersively coupled to a cavity field of transmission line resonator. Two classical drivings are applied to a composite system, consisting of a transmon qubit and cavity field. In the two-photon resonance with a large intermediate-level detuning, a single-photon Fock state can be fast created by inversely engineering Rabi couplings. With the assistance of auxiliary driving, qubit state can be initialized for inducing multi-photon Fock states in the shortcut manner. Due to negligible leakage effects and high robustness, our scheme offers a potential way to rapidly prepare photon Fock states with a superconducting qubit in circuit QED.

中文翻译：

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通过基于不变性的绝热快捷方式在电路QED中生成微波光子Fock状态

光子福克态的最佳生成对量子科学和技术具有重要意义。在这里，我们通过绝热的基于不变性的捷径，开发了一种在电路量子电动力学（QED）中快速生成微波光子Fock状态的理论方案。超导transmon量子比特分散地耦合到传输线谐振器的腔场。将两种经典驱动应用于复合系统，该复合系统由跨界量子位和腔场组成。在具有大的中间能级失谐的双光子共振中，可以通过逆向工程Rabi耦合来快速创建单光子Fock状态。在辅助驱动的辅助下，可以初始化量子位状态，以捷径方式诱发多光子福克状态。由于漏电效应和鲁棒性高，