Nonholonomic tomography. I. The Born rule as a connection between experiments
Nonholonomic tomography. I. The Born rule as a connection between experiments
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非完整断层扫描。
DOI：
10.1103/physreva.95.052327
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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，我们最近引入了一个称为部分行列式的量。部分行列式是收集到的数据的显式函数，它对状态准备和测量(SPAM)相关错误的存在很敏感。因此，PD省去了单独估计状态准备或测量参数的需要。在目前的工作中，我们为PD提供了一个理论视角。我们证明了PD是一个完整的，状态、测量和层析成像的概念可以推广到非完整约束。为了说明和澄清这些抽象概念，我们直接类比平行输运、热力学和规范场理论。本文是两篇系列文章中的第一篇，其中第二篇文章[2]是关于PD在多量子系统中的可伸缩应用。
In the context of quantum tomography, we recently introduced a quantity called a partial determinant \cite{jackson2015detecting}. PDs (partial determinants) are explicit functions of the collected data which are sensitive to the presence of state-preparation-and-measurment (SPAM) correlated errors. As such, PDs bypass the need to estimate state-preparation or measurement parameters individually. In the present work, we suggest a theoretical perspective for the PD. We show that the PD is a holonomy and that the notions of state, measurement, and tomography can be generalized to non-holonomic constraints. To illustrate and clarify these abstract concepts, direct analogies are made to parallel transport, thermodynamics, and gauge field theory. This paper is the first of a two part series where the second paper [2] is about scalable applications of the PD to multiqudit systems.