局域测量的不确定性限制了非局域量子关联
Local measurement uncertainties impose a limit on non-local quantum correlations
摘要：
在量子力学中，非对易观测量的联合测量只有在不可避免的测量不确定性最小的情况下才是可能的。另一方面，非对易观测量之间的相关性可以超过经典极限，这可以通过违反贝尔不等式来证明。在这里，联合测量的不确定度限制统计量和可能的输入状态的期望值的限制之间的关系进行了分析。结果表明，实验观察到的统计联合测量解释的不确定性限制的本地状态，但结果在限制性较低的界限时，应用于确定两个单独的量子系统之间的非本地相关性的限制。对于违反Bell不等式的四个关联，得到了一个紧的上界，并描述了饱和该上界的纯态统计。结果表明，量子非定域性的局限性是联合测量的局域性的必然结果，表明量子非定域性可以用量子统计的局域性来解释.
英文摘要：
In quantum mechanics, joint measurements of non-commuting observables are only possible if a minimal unavoidable measurement uncertainty is accepted. On the other hand, correlations between non-commuting observables can exceed classical limits, as demonstrated by the violation of Bell's inequalities. Here, the relation between the uncertainty limited statistics of joint measurements and the limits on expectation values of possible input states is analyzed. It is shown that the experimentally observable statistics of joint measurements explain the uncertainty limits of local states, but result in less restrictive bounds when applied to identify the limits of non-local correlations between two separate quantum systems. A tight upper bound is obtained for the four correlations that appear in the violation of Bell's inequalities and the statistics of pure states saturating the bound is characterized. The results indicate that the limitations of quantum non-locality are a necessary consequence of the local features of joint measurements, suggesting the possibility that quantum non-locality could be explained in terms of the local characteristics of quantum statistics.
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