论文标题
动作量子速度限制
Action quantum speed limits
论文作者
论文摘要
我们将动作量子速度限制（QSL）作为一个界限家族，在最小的时间内连接两个状态，这些状态与通常的几何方法不同，至关重要地取决于路径如何穿越，即瞬时速度。当瞬时速度沿固定路径进行优化时，这两种方法提供了一致的边界，并且我们对使用最佳控制理论的技术进行热量化量子的情况明确证明了这一点。此外，我们基于不同的度量选择，批判性地分析了QSL的解释，通常，这些开放系统QSL时间提供了相对于地球道路的最佳性的指示，而不是一定表明可实现的最小时间。
We introduce action quantum speed limits (QSLs) as a family of bounds on the minimal time to connect two states that, unlike the usual geometric approach, crucially depend on how the path is traversed, i.e. on the instantaneous speed. The two approaches provide consistent bounds when the instantaneous speed is optimized along a fixed path and we demonstrate this explicitly for the case of a thermalizing qubit employing techniques from optimal control theory. In addition, we critically analyze the interpretation of QSLs based on different choices of metric establishing that, in general, these open system QSL times provide an indication of optimality with respect to the geodesic path, rather than necessarily being indicative of an achievable minimal time.
