Quantum control of chaotic systems

混沌系统的量子控制量子力学允许以一种可以改进和扩展经典信息处理的方式编码和处理信息的可能性，这一认识导致了量子信息科学这一新领域的出现。通过将量子力学的定律应用于信息论，设计了诸如隐形传态之类的新任务，并开发了优于已知经典算法的新计算算法。为了构建大规模的量子信息处理装置，需要制备、操纵和测量多体耦合量子系统。这些耦合系统可以表现出非经典关联或“纠缠”的量子制度和经典制度的混乱。经典混沌的特征可以在相应的量子系统中找到，表现在量子纠缠等量子特性上。本研究将调查和分析经典混沌量子系统的控制，并探索利用混沌行为来改进信息处理协议或有效地产生有价值的量子计算资源（如纠缠）的可能性。它还将研究混沌系统中的噪声和消相干，以及混沌存在时的纠错。该研究将涉及分析和数值技术，并将建模和分析现实的物理系统，以开发一个可以有效实施的量子控制的理论框架。该计划不仅有助于最终开发用于构建高效量子信息处理设备的工具，还将为量子测量的基本问题以及量子与经典理论之间的关系提供关键见解。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，这项研究将有助于加强加拿大作为该领域领导者的作用。

Quantum Control of Chaotic Systems The realization that quantum mechanics allows the possibility of encoding and processing information in a way that can improve and extend classical information processing, has led to the emergence of the new field of quantum information science. By applying the laws of quantum mechanics to information theory, novel tasks such as teleportation have been designed, and new algorithms for computation that outperform known classical algorithms have been developed. In order to build large-scale quantum information processing devices, it is necessary to  prepare, manipulate and measure many-body coupled quantum systems. These coupled systems can exhibit  non-classical correlations or 'entanglement' in the quantum regime and chaos in the classical regime. Signatures of the classical chaos can be found in the corresponding quantum system in quantum properties such as entanglement. This research will investigate and analyze the control of quantum systems which are classically chaotic, and explore the possibility of exploiting chaotic behaviour to improve information processing protocols or efficiently  generate valuable quantum computing resources such as entanglement. It will also investigate noise and decoherence in chaotic systems, and error correction in the presence of chaos. The research will involve analytical as well as numerical techniques, and will model and analyze realistic physical systems in order to develop a theoretical framework of quantum control that can be usefully implemented. This program will not only help to ultimately develop tools for building efficient quantum information processing devices, but will also provide key insight into fundamental questions about quantum measurement and the relationship between quantum and classical theory. Canadian researchers are already making important contributions to quantum information science, and this research will help strengthen Canada's role as a leader in the field.