论文标题

三结果量子测量值的熵噪声不确定性关系的实验测试

Experimental Test of Entropic Noise-Disturbance Uncertainty Relations for Three-Outcome Qubit Measurements

论文作者

Sponar, Stephan, Danner, Armin, Pecile, Vito, Einsidler, Nico, Demirel, Buelent, Hasegawa, Yuji

论文摘要

信息理论的不确定性关系在信息熵方面提出了两个非公认可观察物的共同不可估量。在两个连续测量结果的结果中,精度的权衡在熵触动不确定性关系中表现出来。最近的理论分析预测,关于噪声驱动的权衡,投射测量并不是最佳的。因此,我们先前的字母[PRL 115,030401(2015)]中的结果超过了一般量子测量。在这里,我们使用中子自旋-1/2量Qubits在实验中测试了三个结果阳性值衡量措施(POVM)的紧密信息理论测量不确定性关系。所获得的结果违反了根据理论上预测的投影测量的下限。

Information-theoretic uncertainty relations formulate the joint immeasurability of two non-commuting observables in terms of information entropies. The trade-off of the accuracy in the outcome of two successive measurements manifests in entropic noise-disturbance uncertainty relations. Recent theoretical analysis predicts that projective measurements are not optimal, with respect to the noise-disturbance trade-offs. Therefore the results in our previous letter [PRL 115, 030401 (2015)] are outperformed by general quantum measurements. Here, we experimentally test a tight information-theoretic measurement uncertainty relation for three-outcome positive-operator valued measures (POVM), using neutron spin-1/2 qubits. The obtained results violate the lower bound for projective measurements as theoretically predicted.

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