arXiv 2102.110952021-02quant-ph

量子力学的相空间公式及其在量子技术中的应用

Overview of the phase space formulation of quantum mechanics with application to quantum technologies

Russell P Rundle, Mark J Everitt

备注：: 42 pages, 4 figures
DOI：: 10.1002/qute.202100016

摘要：

量子力学的相空间公式最近在测试量子技术中得到了越来越多的应用，包括用于状态验证和设备验证的层析成像方法。在这里，相空间中的量子力学的概述。给出了任意量子系统的广义相空间函数的生成公式，如Wigner函数和Weyl函数以及相应的Q函数和P函数。这些不同的配方如何被用于量子技术的例子提供，重点是离散量子系统，特别是量子比特。还提供了一些结果，据作者所知，没有在其他地方发表。这些结果提供了洞察相空间的不同表示之间的关系，以及如何相空间表示是一个强大的工具，在理解量子信息和量子技术。

英文摘要：

The phase-space formulation of quantum mechanics has recently seen increased use in testing quantum technologies, including metho ds of tomography for state verification and device validation. Here, an overview of quantum mechanics in phase space is presented. The formulation to generate a generalized phase-space function for any arbitrary quantum system is shown, such as the Wigner and Weyl functions along with the asso ciated Q and P functions. Examples of how these different formulations have b een used in quantum technologies are provided, with a focus on discrete quantum systems, qubits in particular. Also provided are some results that, to the authors' knowledge, have not been published elsewhere. These results provide insight into the relation between different representations of phase space and how the phase-space representation is a powerful tool in understanding quantum information and quantum technologies.

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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