Operator Algebras and Quantum Information

这项资助将研究算子代数和量子信息理论之间有很强联系的问题。我们将研究量子实验的随机性可能产生的概率密度。目前，有几种数学模型来描述这些概率密度，并且不知道它们是否都产生相同的密度矩阵集。这些模型中的两个是否给出相同的密度集，现在已知等价于算子代数中的一个重要的公开问题，Connes嵌入猜想。

This grant will study problems that have a strong link between operator algebras and quantum information theory. We will study the probability densities that can arise from the randomness of quantum experiments. Currently, there are several mathematical models for what these probability densities are and it is not known if they all yield the same sets of densities matrices. Whether or not two of these models give the same sets of densities is now known to be equivalent to one of the important open problems in operator algebras, the Connes embedding conjecture.