论文标题

量子力学中的纠缠熵:代数方法

Entanglement Entropy in Quantum Mechanics: An Algebraic Approach

论文作者

Reyes-Lega, A. F.

论文摘要

回顾了量子系统纠缠熵的代数方法。从$ c^*$ - 代数上的状态开始,可以构建一个密度运算符,以描述GNS表示状态的状态。概述了这种方法对相同颗粒系统的纠缠措施的应用。然后,这种方法内熵定义的歧义与一级人员在表示的委托人中的作用及其与模块化理论的关系有关。

An algebraic approach to the study of entanglement entropy of quantum systems is reviewed. Starting with a state on a $C^*$-algebra, one can construct a density operator describing the state in the GNS representation state. Applications of this approach to the study of entanglement measures for systems of identical particles are outlined. The ambiguities in the definition of entropy within this approach are then related to the action of unitaries in the commutant of the representation and their relation to modular theory explained.

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