论文标题
量子距离到不可填料性和量子速度极限
Quantum Distance to Uncontrollability and Quantum Speed Limits
论文作者
论文摘要
与控制性的距离是经典控制理论中的一个关键概念。在这里，我们将量子距离引入到不可控制性，以此作为通用量子系统与非宇宙系统的距离。这使我们能够提供量子速度限制的定量版本，将绑定分解为几何和动态组件。我们考虑了几个物理示例，包括全球控制的固态粒子和一个跨凯尔系统，表明与不合格性的量子距离为光谱拥挤，弱相互作用和其他瓶颈提供了精确的含义。我们建议在量子技术的设计中应考虑此措施。
Distance to Uncontrollability is a crucial concept in classical control theory. Here, we introduce Quantum Distance to Uncontrollability as a measure how close a universal quantum system is to a non-universal one. This allows us to provide a quantitative version of the Quantum Speed Limit, decomposing the bound into a geometric and dynamical component. We consider several physical examples including globally controlled solid state qubits and a cross-Kerr system, showing that the Quantum Distance to Uncontrollability provides a precise meaning to spectral crowding, weak interactions and other bottlenecks to universality. We suggest that this measure should be taken into consideration in the design of quantum technology.
