论文标题
量子仪器和条件可观察物
Quantum Instruments and Conditioned Observables
论文作者
论文摘要
可观察到的仪器在最近关于量子力学基础的研究中发挥了重要作用。还引入了效应和条件可观察物的顺序产物。在第〜1节的介绍之后，我们在〜2节中回顾了这些概念。此外，它显示了如何在测量模型的框架内统一这些想法。在〜3节中，我们为贵族希尔伯特空间的简单示例说明了这些概念及其关系。有条件的可观察物及其分布在〜4节中进行了研究。 〜5第5节考虑了可观察物的关节概率。我们介绍了关节概率的定义，并讨论了为什么我们认为这要优于标准定义。
Observables and instruments have played significant roles in recent studies on the foundations of quantum mechanics. Sequential products of effects and conditioned observables have also been introduced. After an introduction in Section~1, we review these concepts in Section~2. Moreover, it is shown how these ideas can be unified within the framework of measurement models. In Section~3, we illustrate these concepts and their relationships for the simple example of a qubit Hilbert space. Conditioned observables and their distributions are studied in Section~4. Section~5 considers joint probabilities of observables. We introduce a definition for joint probabilities and discuss why we consider this to be superior to the standard definition.
