# Is geometric algebra/calculus used in quantum computing?

This is really a question out of curiosity. I am aware that geometric algebra and geometric calculus provide simplifications in many aspects of physics. I'm wondering if this framework's usefulness extends to the realm of quantum computing.

• – meowzz Dec 26 '18 at 21:10

The algebra generated over $$\mathbb{C}$$ by $$\sigma_{x,y,z}$$ gives $$\text{Cliff}(\mathbb{R}^{3,0})$$. But this doesn't really use more of the general features of Clifford algebra for general $$\mathbb{R}^{p,q}$$. You can phrase it in terms of Clifford algebra if you want, but not necessary for small examples.