AI 中文总结
研究通过推导统计不等式来进行量子测试，核心方法是考察量子准分布及噪声联合测量得到的联合分布对不等式的违背情况，主要贡献是发现最大混合态等存在违背，揭示结果是量子力学统计结构的属性。
AI 中文摘要
在这项工作中，我们推导了统计不等式，其违背等同于无法用真正的联合概率分布来描述数据。因此，它们是共同概率空间失效的见证。我们研究了最重要的量子准分布是否违背这些不等式，还研究了由噪声联合测量得到的联合分布是否违背它们。作为一个相关例子，我们发现最大混合态存在违背情况，以及所有系统态都违背的情况。这表明这些结果不仅仅是系统态的属性，更是量子力学统计结构的属性。
英文摘要
In this work we derive statistical inequalities whose violation is equivalent to the impossibility of describing the data by a genuine joint probability distribution. So they are witnesses of the failure of a common probability space. We examine whether the most significant quantum quasidistributions violate these inequalities. We examine also whether these inequalitites are violated by the joint distributions derived form a noisy joint measurement. As a relevant example we find violations for the maximally mixed state, as well as cases where all system states violate them. This points to the idea that these results are more than a property of the system states, but are instead a property of the statistical structure of quantum mechanics.
Comments8 pages, no figures
