We investigate the information distribution among different entities in the weak measurements protocol. Focusing on multilevel, decaying systems under continuous (no-click) monitoring, we derive exact, conservation-type information relations that hold for each outcome in the record. Analogous relations hold when an explicit reversal is applied, with the reversal success probability entering the relation. We extend the framework to finite-count outcomes (arbitrary photon numbers) obtaining quantitative trade-offs that link information change in the weak measurement process to the entities to which the information is distributed. These results provide a unified, outcome-resolved account of information flow in monitored open quantum dynamics and provide insight into a deeper understanding of open-system dynamics and its control.

翻译：我们研究了弱测量协议中信息在不同实体间的分布。聚焦于连续（无点击）监测下的多能级衰变系统，我们推导出精确的、守恒型信息关系，这些关系对记录中的每个结果均成立。当应用显式反转时，类似的关系同样成立，其中反转成功概率进入该关系。我们将框架扩展至有限计数结果（任意光子数），获得定量权衡关系，将弱测量过程中的信息变化与信息分布所至的实体联系起来。这些结果为监测开放量子动力学中的信息流动提供了统一、结果分辨的阐述，并为深入理解开放系统动力学及其控制提供了见解。