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首页> 外文期刊>Physical Review, A. Atomic, molecular, and optical physics >Universally valid reformulation of the Heisenberg uncertainty principle on noise and disturbance in measurement - art. no. 042105
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Universally valid reformulation of the Heisenberg uncertainty principle on noise and disturbance in measurement - art. no. 042105

机译：关于测量中噪声和干扰的海森堡不确定性原理的普遍有效的重新表述-艺术。没有。 042105

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摘要

The Heisenberg uncertainty principle states that the product of the noise in a position measurement and the momentum disturbance caused by that measurement should be no less than the limit set by Planck's constant h/2 as demonstrated by Heisenberg's thought experiment using a gamma-ray microscope. Here it is shown that this common assumption is not universally true: a universally valid trade-off relation between the noise and the disturbance has an additional correlation term, which is redundant when the intervention brought by the measurement is independent of the measured object, but which allows the noise-disturbance product much below Planck's constant when the intervention is dependent. A model of measuring interaction with dependent intervention shows that Heisenberg's lower bound for the noise-disturbance product is violated even by a nearly nondisturbing precise position measurement. An experimental implementation is also proposed to realize the above model in the context of optical quadrature measurement with currently available linear optical devices. [References: 28]
机译：海森堡不确定性原理指出，位置测量中的噪声与由该测量引起的动量扰动的乘积应不小于海森堡使用伽玛射线显微镜进行的思想实验所证明的普朗克常数h / 2设置的极限。在这里表明，这个共同的假设不是普遍正确的：噪声和干扰之间的普遍有效的折衷关系具有附加的相关项，当测量带来的干预独立于被测对象时，这是多余的，但是当依赖干预时，其噪声干扰乘积将远低于普朗克常数。用相关干预进行交互测量的模型表明，即使几乎没有干扰的精确位置测量也违反了海森堡噪声干扰产品的下限。还提出了一种实验实现方式，以利用当前可用的线性光学器件在光学正交测量的情况下实现上述模型。 [参考：28]

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