Quantum Information in Many-Particle Systems

多粒子系统中的量子信息

• 批准号: 261370-2013
• 负责人: Feder, David
• 金额: $ 2.4万
• 依托单位: University of Calgary
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2015
• 资助国家: 加拿大
• 起止时间: 2015-01-01 至 2016-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=571017
• 关键词: Quantum; Information; Many; Particle; Systems

My programme of research will be to explore the relationships between the fields of condensed matter physics and quantum information theory, linked through the concept of quantum correlations. The activities described in this proposal centre on understanding the properties of various correlated condensed matter systems, and how these correlations can be manipulated and consumed in order to perform useful quantum tasks. An important aspect of this theoretical programme will be to propose feasible experiments, as well as to interpret the results of on-going experimental work; in this context my research will primarily focus on ultracold atomic systems and cavity quantum electrodynamics (QED) in atomic systems. The strong interactions between photons and atoms in cavity QED affords unique opportunities to generate strongly correlated states in a highly controllable environment, and experiments have only just begun to explore this possibility. I will focus on schemes to generate (a) frustrated magnets via cavity-mediated long-range interactions, (b) topological states (such as quantum Hall insulators) by cavity-tailored band structure, and (c) strongly correlated superfluid states (such as those in high-temperature superconductors) in coupled-cavity geometries. To characterize the resulting states, I will employ sophisticated analytical approaches in addition to developing new tools based on powerful graph theory methods, and perform numerical calculations on state-of-the-art computer clusters. The particles comprising these states are usually highly entangled, potentially allowing them to be resources for the implementation of quantum algorithms. I will explore approaches to universal quantum computing with strongly correlated states, either by making sequential measurements of the particles or by allowing the system to dynamically evolve. I expect the results of this research to not only provide insights into strongly correlated states in other condensed matter systems, but also to inspire new experimental strategies for fault-tolerant quantum computation.

我的研究计划将是探索通过量子相关的概念相关联的凝结物理物理学和量子信息理论之间的关系。本提案中描述的活动中心关于了解各种相关的凝结物质系统的性质，以及如何操纵和消耗这些相关性以执行有用的量子任务。该理论计划的一个重要方面将是提出可行的实验，并解释正在进行的实验工作的结果。在这种情况下，我的研究将主要关注原子系统中的超电原子系统和空腔量子电动力学（QED）。 QED中光子和原子之间的强烈相互作用为在高度可控的环境中产生强烈相关状态的独特机会，实验才刚刚开始探索这种可能性。我将专注于通过腔体介导的长距离相互作用，（b）通过腔体量化的带状结构（例如量子霍尔绝缘体）通过腔体量的带状结构来生成（a）挫败的磁铁，以及（c）在耦合cavity-cavity geometries中的超相关的超氟化态（例如高层次超导体）的强度相关的超级流体状态。为了表征所得状态，除了基于强大的图理论方法开发新工具外，我还将采用复杂的分析方法，并对最先进的计算机簇执行数值计算。包含这些状态的粒子通常是高度纠缠的，有可能使它们成为实施量子算法的资源。我将通过对粒子进行顺序测量或允许系统动态进化来探索具有强相关状态的通用量子计算方法。我希望这项研究的结果不仅可以提供对其他冷凝物质系统中密切相关状态的见解，而且还可以激发新的耐断层量子计算的实验策略。