论文标题
弱测量，非经典性和负概率
Weak measurements, non-classicality and negative probability
论文作者
论文摘要
本文建立了（i）各种量子特征的非经典性测试之间的直接，牢固和紧密的联系，例如非树树逻辑，量子相干性，非局部性，量子纠缠，量子不一致； （ii）负概率和（iii）异常弱值。已显示[Adhikary等。欧元。物理。 J. D，74（68）：68，2020]，经典联合概率方案的不存在会导致非局部性的充分条件，这是一种非经典特征，不限于量子力学。量子力学的非古典特征的条件是通过使用伪概率来获得的，这是父伪投影的期望值。本文的症结在于，可以将负值的伪探针直接测量为异常弱值。我们预计，这为通过弱测量结果测试非经典性的新途径开辟了新的途径，并且还可以更深入地了解可测量的负伪概率。还提出了一个基于违反经典概率规则的量子游戏，可以通过使用弱测量来进行。
This paper establishes a direct, robust and intimate connection between (i) non classicality tests for various quantum features, e.g., non-Boolean logic, quantum coherence, nonlocality, quantum entanglement, quantum discord; (ii) negative probability, and (iii) anomalous weak values. It has been shown [Adhikary et al. Eur. Phys. J. D, 74(68):68, 2020] that nonexistence of a classical joint probability scheme gives rise to sufficiency conditions for nonlocality, a nonclassical feature not restricted to quantum mechanics. The conditions for nonclassical features of quantum mechanics are obtained by employing pseudo probabilities, which are expectation values of the parent pseudo projections. The crux of the paper is that the pseudo-probabilities, which can take negative values, can be directly measured as anomalous weak values. We expect that this opens up new avenues for testing nonclassicality via weak measurements, and also gives deeper insight into negative pseudo probabilities which become measurable. A quantum game, based on violation of classical probability rule is also proposed that can be played by employing weak measurements.
