Quaternions Python Packages

ahrs

Attitude and Heading Reference Systems in Python

clifford

Geometric Algebra for Python

hypercomplex-engine

A modular engine designed for hypercomplex number generation and high-dimensional algebraic computations.

gem

A lightweight, pure-Python library for graphics, geometry, and computational mathematics. No NumPy or compiled extensions.

rqm-qiskit

Repository name: rqm-qiskit Mission: Build a clean, production-ready Python package that provides an SU(2)-native / quaternion-inspired interface on top of Qiskit, so users can describe 1-qubit quantum states and gates in rotation-first geometric language, then convert them into standard Qiskit circuits for simulation and IBM Quantum execution

galgebra

Symbolic Geometric Algebra/Calculus package for SymPy :crystal_ball:

rqm-optimize

rqm-optimize compresses single-qubit gate runs into shorter SU(2)-equivalent forms, reducing unnecessary depth without changing the user workflow.

tf-quat2rot

:triangular_ruler: Numerically stable conversion between quaternion and rotation matrices in tensorflow.

quat-numpy

Quaternion Algebra Library

tfquaternion

An implementation of quaternions for and written in tensorflow. Fully differentiable.

pyquat

Fast unit quaternion code for Python written in C

quaternion-monoid-algebra

Compositional algebra over fixed-width quaternionic-symbolic state packets. A monoid (closed, associative, with two-sided identity) plus empirical topology preservation. MIT licensed.

spinstep

A quaternion-driven traversal framework for trees and orientation-based data structures.