论文标题

保护性测量和波功能的现实

Protective Measurements and the Reality of the Wave Function

论文作者

Gao, Shan

论文摘要

已经争论保护性测量是否意味着波函数的现实。在本文中,我对保护性测量与波函数现实之间的关系进行了新的分析。首先,我简要介绍了保护性测量和本体论模型框架。其次,在保护性测量方面,我简单地证明了Hardy定理。第三,我分析了两个建议测量的建议$ψ$ - 上流学模型。结果表明,尽管这些模型可以在单个测量中解释可观测值的期望值的外观,但它们对非理想保护测量结果方差的预测与量子力学的预测不同。最后,我认为,在有关稳定状态的动力学的辅助有限假设下,保护性测量意味着在本体论模型框架中波浪函数的现实。

It has been debated whether protective measurement implies the reality of the wave function. In this paper, I present a new analysis of the relationship between protective measurements and the reality of the wave function. First, I briefly introduce protective measurements and the ontological models framework for them. Second, I give a simple proof of Hardy's theorem in terms of protective measurements. Third, I analyze two suggested $ψ$-epistemic models of a protective measurement. It is shown that although these models can explain the appearance of expectation values of observables in a single measurement, their predictions about the variance of the result of a non-ideal protective measurement are different from those of quantum mechanics. Finally, I argue that under an auxiliary finiteness assumption about the dynamics of the ontic state, protective measurement implies the reality of the wave function in the ontological models framework.

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