价值和期望不通过定理的公共分母:扩展摘要
Common Denominator for Value and Expectation No-go Theorems: Extended Abstract
摘要:
隐变量(HV)理论声称量子态描述了由隐变量值区分的系统系综。不可行定理断言HV理论不能与量子理论的预言相匹配。目前的工作开始修复文献中的缺陷不去定理断言,HV理论不能预测的期望值的测量。该文献给人的印象是,期望不去定理推翻了历史悠久的不去定理,声称HV理论不能预测可能的测量值。但这两种方法涉及不同类型的测量。这就妨碍了它们之间的相互比较。只有投影测量是两者共有的。在这里,我们锐化这两种方法的结果,以便只使用投影测量。这使我们能够澄清这两种方法之间的相似性和差异。两者都不占主导地位。
英文摘要:
Hidden-variable (HV) theories allege that a quantum state describes an ensemble of systems distinguished by the values of hidden variables. No-go theorems assert that HV theories cannot match the predictions of quantum theory. The present work started with repairing flaws in the literature on no-go theorems asserting that HV theories cannot predict the expectation values of measurements. That literature gives one an impression that expectation no-go theorems subsume the time-honored no-go theorems asserting that HV theories cannot predict the possible values of measurements. But the two approaches speak about different kinds of measurement. This hinders comparing them to each other. Only projection measurements are common to both. Here, we sharpen the results of both approaches so that only projection measurements are used. This allows us to clarify the similarities and differences between the two approaches. Neither one dominates the other.
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