论文标题
Euler-Rodrigues参数：计算刚体旋转的量子电路
Euler-Rodrigues Parameters: A Quantum Circuit to Calculate Rigid-Body Rotations
论文作者
论文摘要
在计算模型中使用矢量参数化来创建几何表示有大量应用。一种特殊的应用是计算刚体的3D旋转运动，可以用于对象的空间位置估计。只要该问题的代数性质，它可能会受益于量子计算，特别是可以将几个向量超级构成以通过单个操作进行转换，从而提供量子处理优势。在本文中，我们提出了量子计算算法的实现，以计算Euler-Rodrigues参数以建模刚体旋转以转换任意功能，并在叠加中旋转多个向量。我们使用Qiskit开发了该算法，考虑到当前嘈杂的中间尺度量子（NISQ）设备所施加的局限性，例如可用的量子数减少和有限的连贯时间。
The use of vectorial parameterization to create geometrical representations in computational models has a large number of applications. One particular application is the calculation of the 3D rotational motion of rigid bodies, that could be used for the spatial location estimation from objects. Provided the algebraic nature of this problem, it could benefit from Quantum Computing, in particular several vectors could be superposed to be transformed with a single operation, providing a quantum processing advantage. In this article, we propose an implementation of a Quantum Computing algorithm to compute Euler-Rodrigues Parameters to model rigid body rotations to transform arbitrary functions, rotating multiple vectors in superposition. We developed this algorithm using Qiskit, taking into account the limitations imposed by the current Noisy Intermediate Scale Quantum (NISQ) devices, such as the reduced number of qubits available and the limited coherence time.
