We consider the dynamics of the photon states in distant resonators coupled to a common bus resonator at different positions. The frequencies of distant resonators from a common bus resonator are equally detuned. These frequency detunings are kept larger than the coupling strengths of each resonator to the common bus resonator to satisfy the dispersive interaction regime. In the dispersive regime, we show that the time dynamics of the system evolve to an arbitrary W-type state in a single step at various interaction times. Our results show that a one-step generation of arbitrary W-type states can be achieved with high fidelity in a system of superconducting resonators.

中文翻译：

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远距离谐振器中的动力学和多量子位纠缠

我们考虑耦合到不同位置的公共总线谐振器的远距离谐振器中光子状态的动力学。远离公共总线谐振器的谐振器的频率同样失谐。这些频率失谐保持大于每个谐振器到公共总线谐振器的耦合强度，以满足色散相互作用机制。在色散状态下，我们表明系统的时间动力学在不同交互时间的单个步骤中演变为任意 W 型状态。我们的结果表明，在超导谐振器系统中可以高保真地一步生成任意 W 型态。