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arXiv quant-ph/0507001quant-ph
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观测器的不可判定经典性质

Undecidable classical properties of observers

Sven Aerts

摘要:

一个系统的一个属性被称为实际的,如果与该属性有关的测试的观察产生了确定性的肯定。我们通过假设结果与被观测系统的状态相关,并在测量交互结束时被编码为观测器状态的实际属性,来形式化观测行为。对于一个实际的属性,观察到的结果必须肯定该属性,因此在这种情况下,相关性需要完美。如果一个性质或它的否定是实在的,则该性质称为经典性质。它是由对角线的论点表明,存在经典性质的观察者,他不能观察完美。因为状态是由该状态的实际属性的集合来标识的,所以没有观察者可以完美地观察他自己的状态。量子测量问题的影响进行了简要讨论。

英文摘要:

A property of a system is called actual, if the observation of the test that pertains to that property, yields an affirmation with certainty. We formalize the act of observation by assuming that the outcome correlates with the state of the observed system and is codified as an actual property of the state of the observer at the end of the measurement interaction. For an actual property, the observed outcome has to affirm that property with certainty, hence in this case the correlation needs to be perfect. A property is called classical if either the property or its negation is actual. It is shown by a diagonal argument that there exist classical properties of an observer that he cannot observe perfectly. Because states are identified with the collection of properties that are actual for that state, it follows that no observer can perfectly observe his own state. Implications for the quantum measurement problem are briefly discussed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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