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arXiv 1707.04656quant-phphysics.hist-ph
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语境性与不可否认性

Contextuality and Indistinguishability

J. Acacio de Barros, Federico Holik, Decio Krause

摘要:

众所周知,在量子力学中,我们不能总是一致地定义与上下文无关的性质。存在许多方法来描述上下文属性,例如默认上下文性(CbD)、层理论、拓扑理论以及非标准或有符号概率。在本文中,我们提出了一个特定于量子力学的上下文属性的处理,因为它依赖于上下文和不可解释性之间的关系。特别是,我们提出,如果我们假设量子粒子或性质可以是不可区分的,但不同的本体论命题,没有矛盾所产生的Kochen-Specker类型的论点出现:当我们重复一个实验,我们在现实中执行的实验测量的性质是不可区分的第一个,但不相同。我们将讨论这一举动的后果如何帮助我们理解量子上下文。

英文摘要:

It is well known that in quantum mechanics we cannot always define consistently properties that are context independent. Many approaches exist to describe contextual properties, such as Contextuality by Default (CbD), sheaf theory, topos theory, and non-standard or signed probabilities. In this paper we propose a treatment of contextual properties that is specific to quantum mechanics, as it relies on the relationship between contextuality and indistinguishability. In particular, we propose that if we assume the ontological thesis that quantum particles or properties can be indistinguishable yet different, no contradiction arising from a Kochen-Specker-type argument appears: when we repeat an experiment, we are in reality performing an experiment measuring a property that is indistinguishable from the first, but not the same. We will discuss how the consequences of this move may help us understand quantum contextuality.

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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