Analysis and control of multipartite quantum interactions for computation and communication

量子力学提供了开发新型信息处理协议的可能性，这些协议可能会给计算和通信带来革命性的变化。基于量子力学定律的算法执行某些任务的速度已经大大快于我们最快的计算机，而隐形传态和量子密码学等协议可以改变我们的安全通信能力。为了建造大规模的量子信息处理装置，需要精确地准备、操纵和测量多体量子系统。在小范围演示量子控制和信息处理方面已经取得了很大的进展，但随着系统的规模越来越大，挑战也越来越大，多体量子系统的表征和有效控制仍然是一个有趣的开放问题。这些多体系统可以在量子区域内表现出强大的非经典关联，在经典水平上表现出非线性混沌行为。 这一研究计划的目标是研究、表征和控制多体量子相互作用，开发和评估稳健的量子控制技术，并设计高效的新的信息处理和通信协议。这项研究将建立在我在量子信息和混沌方面的成功研究计划的基础上，并将探索多体系统的动力学和状态。我们计划从量子信息处理的角度对真实的物理系统进行建模，并探索混沌。我们将建立一个理论框架来理解混沌如何影响量子关联，如纠缠、不协调、非局域性和退相干(与环境的纠缠)，这些对信息处理很重要。我们将分析量子同步和通信的耦合系统的行为，并建立模型来研究和实现量子混沌系统中的测量、反馈控制和纠错，这是相对未被探索的。我们将在过去对三体量子关联的研究的基础上，分析和表征多体关联，设计健壮的多体纠缠制备方案，并扩展我们以前的量子通信协议，以设计高效、大规模的信息处理应用。这项研究将涉及分析和数值技术，并将重点放在现实系统上，以推动未来的实验。 这一计划不仅将有助于开发构建未来量子技术的工具，还将提供对有关量子和经典理论之间关系的长期存在的基本问题的洞察。加拿大研究人员已经在量子信息科学方面做出了重要贡献。这项研究将培养高素质的人才，并加强加拿大在该领域的领先地位。

Quantum mechanics offers the possibility of developing novel information processing protocols that could revolutionize computing and communication. Algorithms based on quantum mechanical laws can already perform certain tasks dramatically faster than our fastest computers, and protocols such as teleportation and quantum cryptography can transform our secure communication capabilities. In order to build large-scale quantum information processing devices, it is necessary to accurately prepare, manipulate and measure many-body quantum systems. Much progress has been made in demonstrating quantum control and information processing on a small scale but the challenge grows with the size of the system and the characterization and efficient control of multipartite quantum systems remains an interesting open question. These multipartite systems can exhibit powerful non-classical correlations in the quantum regime, and nonlinear chaotic behaviour at the classical level. The objectives of this research program are to investigate, characterize and control multipartite quantum interactions, develop and evaluate robust quantum control techniques, and design efficient new information processing and communication protocols. The research will build on my successful research program in quantum information and chaos and will explore both the dynamics and the states of multipartite systems. We plan to model realistic physical systems and explore chaos from the point of view of quantum information processing. We will develop a theoretical framework to understand how chaos impacts quantum correlations such as entanglement, discord, nonlocality and decoherence (entanglement with the environment), that are important for information processing. We will analyze the behaviour of coupled systems for quantum synchronization and communication, and develop models to study and implement measurement, feedback control, and error correction in quantum chaotic systems, which is relatively unexplored. We will build on our past studies of tripartite quantum correlations to analyze and characterize multipartite correlations, design robust preparation schemes for multipartite entanglement, and extend our previous protocols for quantum communication to design efficient, large-scale information processing applications. The research will involve both analytical and numerical techniques and will focus on realistic systems in order to drive future experiments. This program will not only help to develop tools for building future quantum technologies, but will also provide insight into long-standing, fundamental questions about the relationship between quantum and classical theory. Canadian researchers have already made important contributions to quantum information science. This research will train highly qualified personnel and strengthen Canada's role as a leader in the field.