任意统计理论中基于信息不变性的广义纠缠
Generalizing entanglement via informational invariance for arbitrary statistical theories
摘要:
给定一个不同于量子力学的任意统计理论,如何确定哪些是非经典关联?我们提出了一个正式的框架,允许在这样的理论,替代目前的非经典相关性的定义。这使得人们能够通过将系统的状态与其子系统的状态相关联的倒易映射的适当扩展来制定一些重要的量子力学特征的外推。这些扩展的映射允许一个推广i)可分性措施,任何任意的统计模型,以及ii)以前的纠缠标准。纠缠的标准定义变成了一个更普遍的概念的特例。
英文摘要:
Given an arbitrary statistical theory, different from quantum mechanics, how to decide which are the nonclassical correlations? We present a formal framework which allows for a definition of nonclassical correlations in such theories, alternative to the current one. This enables one to formulate extrapolations of some important quantum mechanical features via adequate extensions of reciprocal maps relating states of a system with states of its subsystems. These extended maps permit one to generalize i) separability measures to any arbitrary statistical model as well as ii) previous entanglement criteria. The standard definition of entanglement becomes just a particular case of the ensuing, more general notion.
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