一个简单的公式来汇集关于量子系统的知识
A simple formula for pooling knowledge about a quantum system
摘要：
当不同的观察者以独立的方式获得关于经典系统的信息时，有一个简单的规则允许他们汇集他们的知识，这只需要各个观察者的知识状态。在这里，我们导出一个等价的量子公式。虽然它的适用范围必然更加有限，但它确实适用于一大类测量，并且我们明确地表明，对于单个量子比特，它满足了关于汇集量子系统知识的直观概念。这种分析也为两个密度矩阵乘积的迹提供了一种物理解释。
英文摘要：
When various observers obtain information in an independent fashion about a classical system, there is a simple rule which allows them to pool their knowledge, and this requires only the states-of-knowledge of the respective observers. Here we derive an equivalent quantum formula. While its realm of applicability is necessarily more limited, it does apply to a large class of measurements, and we show explicitly for a single qubit that it satisfies the intuitive notions of what it means to pool knowledge about a quantum system. This analysis also provides a physical interpretation for the trace of the product of two density matrices.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
