Merit of amplification by weak measurement in view of measurement uncertainty

Merit of amplification by weak measurement in view of measurement uncertainty
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DOI:
10.1007/s40509-014-0002-x
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发表时间:
2013-05
期刊:
Quantum Studies: Mathematics and Foundations
影响因子:
--
通讯作者:
Jaehak Lee;I. Tsutsui
Jaehak Lee;I. Tsutsui
中科院分区:
其他
文献类型:
--
作者:
Jaehak Lee;I. Tsutsui

文献摘要

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阿哈罗诺夫弱值是通过弱测量可获得的物理量,允许放大,因此被认为对精密测量有用。我们研究的意义上的放大测量的不确定性的基础上,并表明,在弱测量固有的不确定性的三个(系统,统计和非线性)组件之间的权衡将设置一个上限的可用放大。除了高斯状态模型用于演示,我们的论点是完全通用的,它是免费的近似和有效的任意observablesand耦合。
Aharonov's weak value, which is a physical quantity obtainable by weak measurement, admits amplification and hence is deemed to be useful for precision measurement. We examine the significance of the amplification based on the uncertainty of measurement, and show that the trade-offs among the three (systematic, statistical and nonlinear) components of the uncertainty inherent in the weak measurement will set an upper limit on the usable amplification. Apart from the Gaussian state models employed for demonstration, our argument is completely general; it is free from approximation and valid for arbitrary observablesand couplings.