Hardy's paradox and measurement-disturbance relations
Hardy's paradox and measurement-disturbance relations
复制标题
哈代悖论和测量干扰关系
DOI：
10.1103/physreva.91.012105
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发表时间：
2015
影响因子：
2.9
通讯作者：
Sixia Yu
中科院分区：
文献类型：
--
作者：
Kazuo Fujikawa;Choo Hiap Oh;Sixia Yu
在非交换算子的条件测量中，从测量-扰动关系的意义上建立了Hardy悖论与不确定性原理的破缺之间的定量关系。如果考虑到这种测量-扰动关系的破坏，哈代对局部实在论与纠缠不一致的分析就简化了，并在哈代的思想实验框架中说明了一个简化的局部实在论的实验检验。Hardy模型的本质是两个条件测量的组合，这两个条件测量同时产生隐变量模型中两个非交换算子的确定特征值。在当前使用基于测量-扰动关系的一般分析的弱测量思想讨论哈迪悖论时，更好地理解纠缠和测量扰动之间的密切相互作用至关重要。
We establish a quantitative relation between Hardy's paradox and the breaking of the uncertainty principle in the sense of measurement-disturbance relations in the conditional measurement of noncommuting operators. The analysis of the inconsistency of local realism with entanglement by Hardy is simplified if this breaking of measurement-disturbance relations is taken into account, and a much simplified experimental test of local realism is illustrated in the framework of Hardy's thought experiment. The essence of Hardy's model is identified as a combination of two conditional measurements, which give rise to definite eigenvalues to two noncommuting operators simultaneously in hidden-variables models. Better understanding of the intimate interplay of entanglement and measurement disturbance is crucial in the current discussions of Hardy's paradox using the idea of weak measurement, which is based on a general analysis of measurement-disturbance relations.