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arXiv quant-ph/0211083quant-ph
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概率论中的关联和纠缠

Correlations and entanglement in probability theory

E. G. Beltrametti, S. Bugajski

摘要:

我们推广了经典的概率框架,采用了更广泛的随机变量,包括非确定性的家庭。出现的框架被认为是量子力学的“经典"扩展。我们讨论的概率相关性的概念,并表明,它包括两种相关性:一个经典的,这是发生在确定性和不确定性的观测,和一个非经典的,这只发生在不确定性的观测。后者将被称为概率纠缠,代表内在随机系统的一种性质,不一定是量子的。似乎有可能将这两种相关性分开,并用满足简单乘积规则的数值函数来表征它们。

英文摘要:

We generalize the classical probability frame by adopting a wider family of random variables that includes nondeterministic ones. The frame that emerges is known to host a ''classical'' extension of quantum mechanics. We discuss the notion of probabilistic correlation and show that it includes two kinds of correlation: a classical one, which occurs for both deterministic and indeterministic observables, and a nonclassical one, which occurs only for indeterministic observables. The latter will be called probabilistic entanglement and represents a property of intrinsically random systems, not necessarily quantum. It appears possible to separate the two kinds of correlation and characterize them by numerical functions which satisfy a simple product rule.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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