论文标题
收紧时间能量不确定性关系
Tightening Time-Energy Uncertainty Relations
论文作者
论文摘要
不确定性原理是现代物理学的基石,其含义对理论和应用量子力学产生了根本的影响。本文的目的是研究和应用时间和能量之间的不确定性关系,这些关系在操作上被解释为量子进化的速度限制。几何方法用于得出孤立和开放系统的演变的改进边界,并获得有效且快速量子驾驶的建设性方法。这些结果用于设置信息传输和处理速率以及纳米机器的功能的限制。
The uncertainty principle is a cornerstone of modern physics, and its implications have a fundamental impact on theoretical and applied quantum mechanics. The aim of this thesis is to study and apply the uncertainty relations between time and energy, which are interpreted operationally as the speed limit of quantum evolution. A geometric approach is used to derive improved bounds for the evolution of isolated and open systems and obtain a constructive approach for efficient and fast quantum driving. These results are applied to set the limits for the rate of information transfer and processing, and the power of nanomachines.