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arXiv 2201.02231quant-ph
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Angle和angular momentum --旧鞋的新花样

Angle and angular momentum -- new twist for an old pair

Ladislav Mišta, Hubert de Guise, Jaroslav Řeháček, Zdeněk Hradil

摘要:

达到量子技术的最终性能需要使用量子极限的检测和访问底层物理系统的所有资源。我们建立了角动量和指数角变量对与正则共轭位置和动量结构之间的全量子类比。这包括角动量和角变量的最佳同时测量的概念,识别爱因斯坦-波多尔斯基-罗森类变量和状态,最后是量子态的相空间表示。我们的建设是基于三个概念的密切联系,并可作为其他可观的待遇模板。这一理论也为结合离散和连续量子变量的量子技术的实现提供了一个新的实验平台。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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