论文标题
角度和角度动量 - 旧对的新扭曲
Angle and angular momentum -- new twist for an old pair
论文作者
论文摘要
达到量子技术的最终性能，需要在量子限制和访问基础物理系统的所有资源下使用检测。我们在一对角动量和指数变量之间建立了一个完整的量子类比，以及规范共轭位置和动量的结构。这包括最佳同时测量角动量和角变量的概念，Einstein-Podolsky-Rosen-Rosen样变量和状态的鉴定，最后是量子状态的相位空间表示。我们的构建基于三个概念的紧密互连，可以作为处理其他可观察物的模板。该理论还提供了一种新的测试床，用于实施结合离散和连续量子变量的量子技术。
Reaching ultimate performance of quantum technologies requires the use of detection at quantum limits and access to all resources of the underlying physical system. We establish a full quantum analogy between the pair of angular momentum and exponential angular variable, and the structure of canonically conjugate position and momentum. This includes the notion of optimal simultaneous measurement of the angular momentum and angular variable, the identification of Einstein-Podolsky-Rosen-like variables and states, and finally a phase-space representation of quantum states. Our construction is based on close interconnection of the three concepts and may serve as a template for the treatment of other observables. This theory also provides a new testbed for implementation of quantum technologies combining discrete and continuous quantum variables.
