Quantum control of chaotic systems

混沌系统的量子控制认识到，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对信息进行编码和处理，这导致了量子信息科学这一新领域的出现。通过将量子力学定律应用于信息论，人们设计了新的任务，如隐形传态，并开发了新的计算算法，其性能优于已知的经典算法。为了建造大规模的量子信息处理装置，需要对多体耦合量子系统进行更多的准备、操纵和测量。这些耦合系统在量子体系中可以表现出非经典关联或纠缠，而在经典体系中可以表现出混沌。经典混沌的特征可以在相应的量子系统的纠缠等量子性质中找到。这项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高效地产生纠缠等宝贵量子计算资源的可能性。它还将研究混沌系统中的噪声和退相干，以及在混沌存在时的纠错。这项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，以便开发一个可以有效实施的量子控制理论框架。这一计划不仅将有助于最终开发用于构建高效量子信息处理设备的工具，还将为有关量子测量以及量子与经典理论之间的关系的基本问题提供关键的见解。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在该领域的领先地位。

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.