论文标题

QUBIT的紧密依赖性准备不确定性关系的实验测试

Experimental Test of Tight State-Independent Preparation Uncertainty Relations for Qubits

论文作者

Sponar, Stephan, Danner, Armin, Obigane, Kazuma, Hack, Simon, Hasegawa, Yuji

论文摘要

著名的罗伯逊·施罗辛格(Robertson-Schroedinger)的不确定性关系错过了不可还原的下限。这广泛归因于下限的状态依赖性。因此,Abbott \ emph {等}引入了一种通用方法,用于导致量子测量的紧密依赖性不确定性关系[数学4,8(2016)]。该关系以两种不确定性度量表示,这是标准偏差和熵,这是期望值的两个功能。在这里,我们提出了与混合旋转状态的非公认的Pauli自旋可观察物的紧密依赖性制剂不确定性关系的中子光学测试。在极化实验中获得的最终结果显然可以重现理论预测,以实现偏振度可变程度的任意初始状态。

The well-known Robertson-Schroedinger uncertainty relations miss an irreducible lower bound. This is widely attributed to the lower bound's state-dependence. Therefore, Abbott \emph{et al.} introduced a general approach to derive tight state-independent uncertainty relations for qubit measurements [Mathematics 4, 8 (2016)]. The relations are expressed in two measures of uncertainty, which are standard deviation and entropy, both functions of the expectation value. Here, we present a neutron optical test of the tight state-independent preparation uncertainty relations for non-commuting Pauli spin observables with mixed spin states. The final results, obtained in a polarimetric experiment, reproduce the theoretical predictions evidently for arbitrary initial states of variable degree of polarization.

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