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arXiv 1808.06558quant-ph
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用随机关联矩表征多体纠缠

Characterizing multipartite entanglement with moments of random correlations

Andreas Ketterer, Nikolai Wyderka, Otfried Gühne

备注：
15 pages, 5 figures, v2: revised Sec. "Moments from designs"
发表信息：
Phys. Rev. Lett. 122, 120505 (2019)
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摘要：

实验检测多体纠缠通常需要一些适当选择的局部量子测量，这些测量相对于先前共享的公共参考系对齐。然而，后者可能是一个具有挑战性的先决条件，例如基于卫星的光子量子通信，使得替代检测策略的发展是可取的。避免经典参考系的分布的一种可能性是利用随机均匀分布的设置来执行多个局部测量。在这项工作中，我们遵循这样的治疗，并表明，一个改进的检测和表征的多体纠缠是可能的，通过结合不同顺序的统计矩。为此，我们利用的设计，这是伪随机过程，允许链接到普通的参考系独立的纠缠标准。我们的方法的优势，说明在各种情况下，从两个量子比特，其次是更多涉及的多方方案。

英文摘要：

The experimental detection of multipartite entanglement usually requires a number of appropriately chosen local quantum measurements which are aligned with respect to a previously shared common reference frame. The latter, however, can be a challenging prerequisite e.g. for satellite-based photonic quantum communication, making the development of alternative detection strategies desirable. One possibility for avoiding the distribution of classical reference frames is to perform a number of local measurements with settings distributed uniformly at random. In this work we follow such a treatment and show that an improved detection and characterization of multipartite entanglement is possible by combining statistical moments of different order. To do so, we make use of designs which are pseudo-random processes allowing to link the present entanglement criteria to ordinary reference frame independent ones. The strengths of our methods are illustrated in various cases starting with two qubits and followed by more involved multipartite scenarios.

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