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Derivation of quantum probability from measurement

机译:通过测量得出量子概率

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To begin with, it is pointed out that the form of the quantum probability formula originates in the very initial state of the object system as seen when the state is expanded with the eigenprojectors of the measured observable. Making use of the probability reproducibility condition, which is a key concept in unitary measurement theory, one obtains the relevant coherent distribution of the complete-measurement results in the final unitary-measurement state in agreement with the mentioned probability formula. Treating the transition from the final unitary, or premeasurement, state, where all possible results are present, to one complete-measurement result sketchily in the usual way, the well-known probability formula is derived. In conclusion it is pointed out that the entire argument is only formal unless one makes it physical assuming that the quantum probability law is valid in the extreme case of probability-one (certain) events (projectors).
机译:首先,要指出的是,量子概率公式的形式起源于物体系统的非常初始的状态,如当该状态随被测可观测的特征投影仪展开时所看到的那样。利用单一度量理论中的一个关键概念概率再现性条件,可以与所提到的概率公式相一致地获得最终单一度量状态下完整度量结果的相关连贯分布。以通常的方式粗略地处理从存在所有可能结果的最终单一状态或预先测量状态到一个完整测量结果的过渡,得出了众所周知的概率公式。总而言之,要指出的是,整个论证只是形式上的,除非有人将其物理假设为量子概率定律在概率一(某些)事件(投影机)的极端情况下有效。

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