论文标题

一个随机测量的时刻

A Moment for Random Measurements

论文作者

Knips, Lukas

论文摘要

量子纠缠是量子理论的核心特征之一。虽然通常通过仔细选择的方向测量来揭示它,但在这里,我们根据所谓的随机或随机测量来回顾不同的方法。尽管起初这种方法似乎效率低下,但在各种随机方向上采样相关性是研究在本地独立转换下不变的属性的强大工具。基于随机测量,可以检测和表征纠缠,而无需观察者之间的共享参考框架,即使无法定义局部参考框架。本概述文章讨论了使用随机测量结果来检测真正的多部分纠缠并区分SLOCC类的不同方法。此外,它回顾了如何根据球形设计有效地获得测量方向。

Quantum entanglement is one of the core features of quantum theory. While it is typically revealed by measurements along carefully chosen directions, here we review different methods based on so-called random or randomized measurements. Although this approach might seem inefficient at first, sampling correlations in various random directions is a powerful tool to study properties which are invariant under local-unitary transformations. Based on random measurements, entanglement can be detected and characterized without a shared reference frame between the observers or even if local reference frames cannot be defined. This overview article discusses different methods using random measurements to detect genuine multipartite entanglement and to distinguish SLOCC classes. Furthermore, it reviews how measurement directions can efficiently be obtained based on spherical designs.

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