极小概率测不准关系的明确回避
Clear evasion of the uncertainty relation with very small probability
摘要：
我们接受这样的观点，即测不准关系不是一个原理，而是量子力学的一个结果。不确定性关系是一种概率性的陈述，并且在相空间的一个微小扇区中以非常小的概率发生的过程中可以清楚地回避。这种明显的逃避通常是在利用间接测量时实现的，并且一些明显逃避的例子出现在具有纠缠的系统中，尽管纠缠本身对于逃避来说不是必需的。标准的肯纳德关系及其解释在我们的分析中保持不变。作为一个明确的例子，我们表明，明确规避的不确定性关系的坐标和动量的衍射过程中讨论的Ballentine实现在一个很小的部门的相空间的概率很小。我们还研究了EPR纠缠双自旋系统的测不准关系，并表明在有限离散自由度的系统中没有明显的逃避发生。
英文摘要：
We entertain the idea that the uncertainty relation is not a principle, but rather it is a consequence of quantum mechanics. The uncertainty relation is then a probabilistic statement and can be clearly evaded in processes which occur with a very small probability in a tiny sector of the phase space. This clear evasion is typically realized when one utilizes indirect measurements, and some examples of the clear evasion appear in the system with entanglement though the entanglement by itself is not essential for the evasion. The standard Kennard's relation and its interpretation remain intact in our analysis. As an explicit example, we show that the clear evasion of the uncertainty relation for coordinate and momentum in the diffraction process discussed by Ballentine is realized in a tiny sector of the phase space with a very small probability. We also examine the uncertainty relation for a two-spin system with the EPR entanglement and show that no clear evasion takes place in this system with the finite discrete degrees of freedom.
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