Rabi轮廓框架:一个简单的分析和图形工具包用于量子控制
Rabi Profile Framework: A Simple Analytical and Graphical Toolkit for Quantum Control
AI总结:
本文提出Rabi轮廓、Rabi谱和Rabi泄漏三者构成的量子控制工具,提供评估多能级量子系统相干态控制可行性与选择性的框架,无需数值模拟,并通过超导transmon量子比特设计展示其实用性。
摘要:
我们引入Rabi轮廓、Rabi谱和Rabi泄漏作为数学严谨但概念清晰的量子控制工具,为评估多能级量子系统相干态控制的可行性和选择性提供框架,无需依赖数值模拟。作为该框架的严谨基础,我们提供了旋转波近似(RWA)及其局限性的自包含讨论,适用于课堂教学。我们通过超导transmon量子比特的设计应用,展示了其实际效用。由于它将复杂的量子控制问题简化为基本的频域推理,Rabi轮廓框架旨在同时作为研究诊断和教学桥梁,连接基础量子力学与现代量子技术。
英文摘要:
We introduce the \emph{Rabi profile}, the \emph{Rabi spectrum} and the \emph{Rabi leak} as triad of mathematically rigorous but conceptually transparent quantum-control tools that provide a framework for assessing the feasibility and selectivity of coherent state control in quantum systems with arbitrarily many levels, without recourse to numerical simulation. As the rigorous foundation for this framework, we present a self-contained discussion of the rotating-wave approximation (RWA) and its limits, suitable for use as classroom material. We illustrate its practical utility by application to design of superconducting transmon qubits. Because it reduces complex quantum control questions to elementary frequency-domain reasoning, the Rabi profile framework is intended to serve equally as a research diagnostic and as a pedagogical bridge between introductory quantum mechanics and contemporary quantum technologies.
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