论文标题
使用CQED参数振荡器的纠缠产生和相对论模拟
Entanglement generation and relativistic simulation with cQED parametric oscillators
论文作者
论文摘要
在本博士学位论文中，我们介绍了Arxiv：2001.07050，Arxiv：2111.10096和Arxiv中包含的结果，同时提供了有关其推导的更多详细信息。 在前两篇论文中，我们研究了微波辐射的纠缠非高斯州的产生和检测。这些状态以新的参数振荡器的形式产生，该振荡器最近在CQED领域内构建，能够一次将微波色调转换为三种不同的音调。这三个光子在它们的量量子相关性，特别是真正的纠缠中。在本文中，我们将其称为非高斯，因为它在高于协方差的统计时刻上的表现，我们提出了一种能够检测到的证人的简单且实用的标准：必须从更高的统计时刻来构建它们。此外，我们推测标准的理论含义，并找到与其他纠缠类别的暗示性联系，例如范式的非GHz和W三个Qubit状态。 在第三篇论文中，我们探讨了量子技术的可能应用之一：量子系统的模拟模拟。本文之前的文献展示了能够模仿系统的超导电路的多个实例，其中人们必须同时考虑量子和相对论现象，例如动态casimir和Unruh效应。这项工作探讨了可以通过模拟仿真获得的信息，该信息提出了能够以相对论轨迹的镜像的内部动力学为特征的电路，即产生动态casimir效应的镜像。
On this PhD thesis we cover the results contained in arXiv:2001.07050, arXiv:2111.10096 and arXiv:2011.02822, while providing further details about their derivations. In the first two papers, we study the generation and detection of entangled non-Gaussian states of microwave radiation. These states are produced in a new parametric oscillator, built recently within the field of cQED, capable of down-converting a microwave tone into three different tones at once. These three photons share among their magnitudes quantum correlations, in particular genuine entanglement. In this text we refer to it as non-Gaussian because of its manifestation on statistical moments higher than covariances, and we propose a simple and practical criterion for the design of witnesses capable of detecting it: they must be built from higher statistical moments that change through time. Additionally, we speculate on the theoretical implications of the criterion and find suggestive connections to other entanglement classes, such as the paradigmatic nonequivalent GHZ and W three qubit states. In the third paper, we explore one of the possible applications of quantum technologies: analog simulation of quantum systems. The literature prior to this thesis showcases multiple examples of superconducting circuits capable of mimicking systems in which one must consider both quantum and relativistic phenomena, such as the dynamical Casimir and Unruh effects. This work explores the information that can be obtained through analog simulation, proposing a circuit capable of featuring the internal dynamics of a mirror experiencing a relativistic trajectory, that is, a mirror producing the dynamical Casimir effect.
