论文标题
多部分设置中量子纠缠和非局部性的资源表征
Resource characterisation of quantum entanglement and nonlocality in multipartite settings
论文作者
论文摘要
量子技术正在享有前所未有的知名度,并且某些应用已经在市场上。本文研究了许多量子技术背后的两个现象:纠缠和非局部性。我们专注于多部分系统,并询问这些系统的哪些配置比其他系统更有用。根据上下文,“有用性”具有不同的含义,但是,大概,我们的目标是更多纠缠或更多非局部性。第2章开发了一种具有独特的多方最大纠缠状态的纠缠的资源理论。第3章表明,双方纯纠缠状态的任何连接的网络都是真正的多部分非本地(GMNL)。第4章表明,与纯状态不同,拓扑对于确定双方混合纠缠状态的网络是否是真正的多部分纠缠至关重要的。据我们所知,我们还获得了GMNL超级激活的第一个例子。在与前几章中探讨的主要思想的背离中,第5章致力于发展受认识论的开创性结果启发的物理原则。我们认为,该原则必须对任何自然理论持有,并打算排除与实验观察到的结果一致的量词后理论。
Quantum technologies are enjoying an unprecedented popularity, and some applications are already in the market. This thesis studies two phenomena that are behind a lot of quantum technologies: entanglement and nonlocality. We focus on multipartite systems, and ask what configurations of those systems are more useful than others. 'Usefulness' takes on different meanings depending on the context, but, roughly speaking, we aim for more entanglement or more nonlocality. Chapter 2 develops a resource theory of entanglement with a unique multipartite maximally entangled state. Chapter 3 shows that any connected network of bipartite pure entangled states is genuine multipartite nonlocal (GMNL). Chapter 4 shows that, unlike in the case of pure states, topology is crucial to determine whether networks of bipartite mixed entangled states are genuine multipartite entangled. We also obtain, to our knowledge, the first example of superactivation of GMNL. In a departure from the main ideas explored in previous chapters, Chapter 5 is devoted to developing a physical principle inspired by a seminal result in epistemics. We contend that the principle must hold for any theory of Nature and intend for it to rule out post-quantum theories which are consistent with experimentally observed results.