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arXiv 0706.4207quant-ph
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量子测量中的复弱值

Complex weak values in quantum measurement

Richard Jozsa

摘要:

在Y. Aharonov等人的研究表明,任何可观测量A的所谓弱值A_w一般是一个复数。我们从测量指针的平均位置和平均动量的变化中得出其值的物理解释。特别是,我们表明,平均位置偏移包含一项共同成比例的虚部的弱值和指针在空间中传播的速度,因为它进入测量相互作用。

英文摘要:

In the weak measurement formalism of Y. Aharonov et al. the so-called weak value A_w of any observable A is generally a complex number. We derive a physical interpretation of its value in terms of the shift in the measurement pointer's mean position and mean momentum. In particular we show that the mean position shift contains a term jointly proportional to the imaginary part of the weak value and the rate at which the pointer is spreading in space as it enters the measurement interaction.

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