Circuit quantum electrodynamics: A new look toward developing full-wave numerical models
Circuit quantum electrodynamics: A new look toward developing full-wave numerical models
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作者：
T. Roth;W. Chew
使用电路量子电动力学架构构建的设备是目前开发量子信息处理硬件的最流行方法之一。虽然在过去的二十年中取得了重大进展，但仍然存在许多技术问题限制了制造系统的性能。由于缺乏严格的数值模拟方法，解决这些问题变得困难。这项工作通过提供一种最常用的电路量子电动力学系统的新的数学描述，即耦合到微波传输线的传输量子比特，开始解决这个问题。用三维矢量场表示，我们的新模型比文献中常用的电路元件描述更适合于开发数值求解器。我们详细介绍了我们的新模型的量子化，并推导了耦合场-发射系统的量子运动方程。这些结果可用于今后开发全波数值求解器。为了使这项工作更容易被工程界接受，我们假设只有有限数量的量子物理培训，并在推导过程中提供许多背景细节。
Devices built using circuit quantum electrodynamics architectures are one of the most popular approaches currently being pursued to develop quantum information processing hardware. Although significant progress has been made over the previous two decades, there remain many technical issues limiting the performance of fabricated systems. Addressing these issues is made difficult by the absence of rigorous numerical modeling approaches. This work begins to address this issue by providing a new mathematical description of one of the most commonly used circuit quantum electrodynamics systems, a transmon qubit coupled to microwave transmission lines. Expressed in terms of three-dimensional vector fields, our new model is better suited to developing numerical solvers than the circuit element descriptions commonly used in the literature. We present details on the quantization of our new model, and derive quantum equations of motion for the coupled field-transmon system. These results can be used in developing full-wave numerical solvers in the future. To make this work more accessible to the engineering community, we assume only a limited amount of training in quantum physics and provide many background details throughout derivations.