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Experimental violation and reformulation of the Heisenbergs error-disturbance uncertainty relation

机译:实验违规和海森堡误差干扰不确定性关系的重新制定

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摘要

The uncertainty principle formulated by Heisenberg in 1927 describes a trade-off between the error of a measurement of one observable and the disturbance caused on another complementary observable such that their product should be no less than the limit set by Planck's constant. However, Ozawa in 1988 showed a model of position measurement that breaks Heisenberg's relation and in 2003 revealed an alternative relation for error and disturbance to be proven universally valid. Here, we report an experimental test of Ozawa's relation for a single-photon polarization qubit, exploiting a more general class of quantum measurements than the class of projective measurements. The test is carried out by linear optical devices and realizes an indirect measurement model that breaks Heisenberg's relation throughout the range of our experimental parameter and yet validates Ozawa's relation.
机译:海森堡在1927年制定的不确定性原理描述了一个可观测物体的测量误差与另一互补观测物体引起的干扰之间的折衷,因此其乘积应不小于普朗克常数设置的极限。然而,小泽在1988年展示了一种打破海森堡关系的位置测量模型,并在2003年展示了误差和干扰的另一种关系,并被证明具有普遍的有效性。在这里,我们报告了对单光子极化量子位的Ozawa关系的实验测试,它利用了比射影测量更为普遍的一类量子测量。该测试由线性光学设备执行,并实现了一个间接测量模型,该模型在我们的实验参数范围内破坏了海森堡的关系,并验证了小泽的关系。

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