Analysis and control of multipartite quantum interactions for computation and communication

量子力学提供了开发新的信息处理协议的可能性，这些协议可以彻底改变计算和通信。基于量子力学定律的算法已经可以比我们最快的计算机更快地执行某些任务，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。为了构建大规模的量子信息处理装置，需要对多体量子系统进行精确的制备、操纵和测量。在小尺度上展示量子控制和信息处理方面已经取得了很大进展，但挑战随着系统的大小而增长，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。这些多体系统可以表现出强大的非经典相关的量子制度，和非线性混沌行为在经典level.The研究计划的目标是调查，表征和控制多体量子相互作用，开发和评估强大的量子控制技术，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来模拟现实的物理系统和探索混沌。我们将建立一个理论框架，以了解混沌如何影响量子相关性，如纠缠，不和谐，非定域性和退相干（与环境的纠缠），这对信息处理很重要。我们将分析量子同步和通信的耦合系统的行为，并开发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，这是相对未开发的。我们将建立在我们过去的三方量子关联的研究，分析和表征多体相关，设计强大的多体纠缠的准备方案，并扩展我们以前的量子通信协议，以设计高效的，大规模的信息处理应用。该研究将涉及分析和数值技术，并将专注于现实系统，以推动未来的实验。该计划不仅有助于开发用于构建未来量子技术的工具，还将提供有关量子和经典理论之间关系的长期基本问题的见解。加拿大研究人员已经为量子信息科学做出了重要贡献。这项研究将培养高素质的人才，加强加拿大在这一领域的领导作用。

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.