论文标题

通过单光时间测量的认证量子性

Certified Quantumness via Single-Shot Temporal Measurements

论文作者

Ali, Md Manirul, Roy, Sovik

论文摘要

Bell-Kochen-Specker定理指出,非上下文的隐藏可变性理论不能完全再现量子力学的预测。 Asher Peres在两个Spin-1/2颗粒的四维Hilbert空间中给出了非常简单的量子上下文性证明。佩雷斯的论点比Kochen和Specker的论点要简单得多。 Peres上下文性通过在将非官方定义值分配给一组量子可观察值时显示不一致的量子力学与非官方隐藏变量模型之间的逻辑矛盾。在这项工作中,我们在时间上提供了类似的证据,并具有类似佩雷斯的参数的时间版本。就像在两个不同位置的自旋测量值的上下文中,我们在此处检查了两个不同时间的单粒子旋转测量值$ t = t_1 $和$ t = t_2 $。我们对时间分离的测量进行了三个经典假设,这些假设与量子机械预测相抵触。因此,我们在不依赖不平等的情况下提供了非稳定的认证量子性证明,这表明我们的方法可以通过单次,时间分离的测量值来证明设备的量子。我们的结果可以通过当前的量子技术进行实验验证。

Bell-Kochen-Specker theorem states that a non-contextual hidden-variable theory cannot completely reproduce the predictions of quantum mechanics. Asher Peres gave a remarkably simple proof of quantum contextuality in a four-dimensional Hilbert space of two spin-1/2 particles. Peres's argument is enormously simpler than that of Kochen and Specker. Peres contextuality demonstrates a logical contradiction between quantum mechanics and the noncontextual hidden variable models by showing an inconsistency when assigning noncontextual definite values to a certain set of quantum observables. In this work, we present a similar proof in time with a temporal version of the Peres-like argument. In analogy with the two-particle version of Peres's argument in the context of spin measurements at two different locations, we examine here single-particle spin measurements at two different times $t=t_1$ and $t=t_2$. We adopt three classical assumptions for time-separated measurements, which are demonstrated to conflict with quantum mechanical predictions. Consequently, we provide a non-probabilistic proof of certified quantumness in time, without relying on inequalities, demonstrating that our approach can certify the quantumness of a device through single-shot, time-separated measurements. Our results can be experimentally verified with the present quantum technology.

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