表示不同坐标系下的量子自旋以模拟刚体方向

Karbala International Journal of Modern Science Pub Date : 2023-08-06 DOI:10.33640/2405-609x.3313

N. Zioui, Aicha Mahmoudi, M. Tadjine

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引用次数: 0

摘要

摘要提出了表示物体空间方向和旋转的各种方法，并与量子比特状态表示进行了比较。通过对比球面、欧拉角、四元数和量子自旋坐标系，这项工作突出了关于X门旋转轴的重要概念。讨论了与量子位状态表示相关的几个模糊性和不完整定义，例如量子位本身的自旋以及对所考虑的旋转角度和符号的解释。提供了对每个本征态的物理意义的数学分析，以及基于YPR的量子位状态的新的全面且有意义的3D表示。

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Representing quantum spins in different coordinate systems for modelling rigid body orientation

Abstract Various methods for representing the spatial orientation and rotation of objects are presented and compared with the quantum bit state representation. By contrasting spherical, Euler angle, quaternion, and quantum spin coordinate systems, this work highlights important concepts regarding the rotation axis of the X gate. Several ambiguities and incomplete definitions associated with the qubit state representation are discussed, such as the spin around the qubit itself and the explanation of the considered rotation angles and signs. A mathematical analysis of the physical meaning of each eigenstate is provided along with a new comprehensive and meaningful YPR-based 3D representation of a qubit state.

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来源期刊

Karbala International Journal of Modern Science Multidisciplinary-Multidisciplinary

CiteScore

2.50

自引率

0.00%

发文量