论文标题

量子系统中的订单索引和纠缠生产

Order indices and entanglement production in quantum systems

论文作者

Yukalov, V. I.

论文摘要

该综述专门用于表征多体系统,顺序指数和纠缠产生量度的两个重要数量。订单指数描述了区分统计系统的顺序类型。与在热力学限制中表征系统的顺序参数相反,该订单指数适用于有限系统,并对所有类型的顺序进行分类,包括远程,中距离和短距离订单。纠缠生产的度量量化了通过量子操作在许多方系统中产生的纠缠量。尽管订单指数和纠缠生产的概念似乎完全不同,但它们之间存在着亲密的关系,这在评论中得到了强调。

The review is devoted to two important quantities characterizing many-body systems, order indices and the measure of entanglement production. Order indices describe the type of order distinguishing statistical systems. Contrary to the order parameters characterizing systems in the thermodynamic limit and describing long-range order, the order indices are applicable to finite systems and classify all types of orders, including long-range, mid-range, and short-range orders. The measure of entanglement production quantifies the amount of entanglement produced in a many-partite system by a quantum operation. Despite that the notions of order indices and entanglement production seem to be quite different, there is an intimate relation between them, which is emphasized in the review.

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