论文标题
严格层次结构的量子计量学的最佳策略
Optimal Strategies of Quantum Metrology with a Strict Hierarchy
论文作者
论文摘要
量子计量学的主要任务之一是通过给定资源达到最终的精确限制，其中资源不仅是查询数量的数量，而且更重要的是允许策略。通过相同数量的查询，对策略的限制限制了可实现的精度。在这项工作中，我们建立了一个系统的框架，以确定不同策略家族的最终精确限制，包括平行，顺序和不裁员的伴侣级策略，并提供有效的算法，该算法决定了正在考虑的策略家族中的最佳策略。通过我们的框架，我们表明存在着严格的层次结构，这些层次结构是不同策略家族的精确限制。
One of the main quests in quantum metrology is to attain the ultimate precision limit with given resources, where the resources are not only of the number of queries, but more importantly of the allowed strategies. With the same number of queries, the restrictions on the strategies constrain the achievable precision. In this work, we establish a systematic framework to identify the ultimate precision limit of different families of strategies, including the parallel, the sequential, and the indefinite-causal-order strategies, and provide an efficient algorithm that determines an optimal strategy within the family of strategies under consideration. With our framework, we show there exists a strict hierarchy of the precision limits for different families of strategies.
