标题： 纠缠生成与相对论模拟：基于cQED参量振荡器 显示英文标题

标题： Entanglement generation and relativistic simulation with cQED parametric oscillators

摘要： 在本篇博士论文中，我们涵盖了arXiv:2001.07050、arXiv:2111.10096和arXiv:2011.02822中的成果，并进一步详细阐述了它们的推导过程。 在前两篇论文中，我们研究了微波辐射纠缠非高斯态的生成与检测。 这些状态由最近在cQED领域内开发的一种新型参量振荡器产生，该振荡器能够一次性将一个微波频率转换为三个不同的频率。 这三个光子在其幅度上共享量子关联，特别是真正的纠缠。 由于这种状态在高于协方差的统计矩上的表现，我们在本文中将其称为非高斯态，并提出了一种简单且实用的标准来设计能够检测它的见证态：它们必须由随时间变化的更高阶统计矩构建。 此外，我们推测了这一标准的理论意义，并发现了与其他纠缠类别的暗示性联系，例如著名的非等价GHZ和W三量子比特态。 在第三篇论文中，我们探讨了量子技术的一项可能应用：量子系统的类比模拟。 在此论文之前的相关文献展示了多个超导电路的例子，这些电路能够模仿需要同时考虑量子和相对论现象的系统，例如动态Casimir效应和Unruh效应。 这项工作探索了通过类比模拟可以获得的信息，提出了一种电路，能够展示经历相对论轨迹的镜面内部动力学，即产生动态Casimir效应的镜面。 显示英文摘要

摘要： 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.