Nonholonomic tomography. II. Detecting correlations in multiqudit systems
Nonholonomic tomography. II. Detecting correlations in multiqudit systems
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非完整断层扫描。
DOI：
10.1103/physreva.95.052328
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发表时间：
2017
影响因子：
2.9
通讯作者：
S. J. Enk
中科院分区：
文献类型：
--
作者：
Christopher S. Jackson;S. J. Enk
在量子层析成像的背景下，最近引入了称为部分行列式的量。PD（部分决定因素）是收集的数据，这是敏感的状态准备和测量（SPAM）的相关性存在的显式函数。在本文中，我们展示了PD及其推广的进一步应用。特别是，我们构建了检测多量子系统中各种类型的垃圾邮件相关性的方法|例如测量-测量相关性。每种方法的PD和它们敏感的相关性之间的关系是拓扑的。我们为所有这些方法提供了一个完整的分类方案，但只关注最具可扩展性的方法的显式细节，其设置数量为$\mathcal{O}（d^4）$。本文是两部分系列的第二部分，其中第一篇论文[2]是关于PD的理论观点及其作为完整性的解释。
In the context of quantum tomography, quantities called a partial determinants\cite{jackson2015detecting} were recently introduced. PDs (partial determinants) are explicit functions of the collected data which are sensitive to the presence of state-preparation-and-measurement (SPAM) correlations. In this paper, we demonstrate further applications of the PD and its generalizations. In particular we construct methods for detecting various types of SPAM correlation in multiqudit systems | e.g. measurement-measurement correlations. The relationship between the PDs of each method and the correlations they are sensitive to is topological. We give a complete classification scheme for all such methods but focus on the explicit details of only the most scalable methods, for which the number of settings scale as $\mathcal{O}(d^4)$. This paper is the second of a two part series where the first paper[2] is about theoretical perspectives of the PD and its interpretation as a holonomy.