论文标题
量子力学中有条件的可观察物
Conditioned Observables in Quantum Mechanics
论文作者
论文摘要
本文介绍了有限维量子力学中条件可观察物的一些基本特性。我们首先定义量子效应的顺序产物，然后使用它来定义两个可观察的乘积。然后，使用顺序产物来构建相对于另一个可观察的有条件可观察的。然后，我们表明条件保存会保存混合物和可观察物的后处理。我们考虑在三个可观察到的条件和可观察到的补充之间。与可观察的相对应，我们以自然的方式定义了可观察的操作员，并表明该映射还保留了混合物和后处理。最后，我们提出了一种根据自相邻操作员而不是可观察的方法来定义调理的方法。尽管该技术与我们以前的方法有关，但这并不等效。
This paper presents some of the basic properties of conditioned observables in finite-dimensional quantum mechanics. We begin by defining the sequential product of quantum effects and use this to define the sequential product of two observables. The sequential product is then employed to construct the conditioned observable relative to another observable. We then show that conditioning preserves mixtures and post-process of observables. We consider conditioning among three observables and a complement of an observable. Corresponding to an observable, we define an observable operator in a natural way and show that this mapping also preserves mixtures and post-processing. Finally, we present a method of defining conditioning in terms of self-adjoint operators instead of observables. Although this technique is related to our previous method it is not equivalent.
