论文标题
可观察物的双仪器和顺序产物
Dual Instruments and Sequential Products of Observables
论文作者
论文摘要
我们首先表明每个操作都具有独特的双重操作，并衡量独特的效果。如果$ a $和$ b $是效果，而$ j $是一种测量$ a $的操作，我们将定义$ a $ the $ b $的顺序产品相对于$ j $。顺序产物的特性是得出的，并用lüders和holevo操作进行了说明。接下来，我们将这项工作扩展到工具和可观察的理论。我们还定义了由另一个仪器（可观察）调节的仪器（可观察）的概念。考虑身份，国家恒定和可重复的工具。研究了有限可观察物相对于吕德斯和孔沃尔沃仪器的顺序产物。
We first show that every operation possesses an unique dual operation and measures an unique effect. If $a$ and $b$ are effects and $J$ is an operation that measures $a$, we define the sequential product of $a$ then $b$ relative to $J$. Properties of the sequential product are derived and are illustrated in terms of Lüders and Holevo operations. We next extend this work to the theory of instruments and observables. We also define the concept of an instrument (observable) conditioned by another instrument (observable). Identity, state-constant and repeatable instruments are considered. Sequential products of finite observables relative to Lüders and Holevo instruments are studied.
