Quantum control of chaotic systems

混沌系统的量子控制

• 批准号: 327511-2006
• 负责人: Ghose, Shohini
• 金额: $ 1.08万
• 依托单位: Wilfrid Laurier University
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2006
• 资助国家: 加拿大
• 起止时间: 2006-01-01 至 2007-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=336758
• 关键词: Quantum; control; chaotic; systems

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.

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的可能性，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理论，人们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设备，需要制备、操作和测量多体耦合量子系统。这些耦合系统在量子体系中表现出非经典相关性或“纠缠”，在经典体系中表现出混沌。经典混沌的特征可以在量子纠缠等量子特性中找到对应的量子系统。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退相干，以及混沌存在时的误差校正。这项研究将涉及分析和数值技术，并将模拟和分析现实的物理系统，以建立一个量子控制的理论框架，可以有效地实施。该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，而且还将提供有关量子测量以及量子与经典理论之间关系的基本问题的关键见解。加拿大研究人员已经对量子信息科学做出了重要贡献，这项研究将有助于加强加拿大在该领域的领导地位。