标题： 酉诱导信道和蒂塞朗森问题 显示英文标题

标题： Unitary induced channels and Tsirelson's problem

摘要： 受关于复合系统量子交换和量子张量模型的最新进展的启发，我们研究了一个(广义)酉诱导量子信道的概念。 利用布朗代数的性质，我们在张量和交换范式中提供了所讨论族的等价特征。 特别是，我们根据不需对无限维子系统进行测量的协议，以所考虑的范式为基础，提供了特塞尔森猜想(康尼斯嵌入问题)的等价表述。 作为结果，我们表明对于广义的酉诱导信道，量子交换模型和量子张量模型之间存在差异。 显示英文摘要

摘要： Motivated by a recent progress concerning quantum commuting and quantum tensor models of composed systems we investigate a notion of (generalized) unitary induced quantum channel. Using properties of Brown algebras we provide an equivalent characterization of discussed families in both tensor and commuting paradigms. In particular, we provide an equivalent formulation of Tsirelson's conjecture (Connes' embedding problem) in terms of considered paradigms based on protocols which do not require measurements performed on infinite-dimensional subsystems. As a result we show that there is a difference between quantum commuting and quantum tensor models for generalized unitary induced channels.