Quantum computing based on complex Clifford algebras
Quantum Physics
2022-03-04 v2 Mathematical Physics
math.MP
Abstract
We propose to represent both --qubits and quantum gates acting on them as elements in the complex Clifford algebra defined on a complex vector space of dimension In this framework, the Dirac formalism can be realized in straightforward way. We demonstrate its functionality by performing quantum computations with several well known examples of quantum gates. We also compare our approach with representations that use real geometric algebras.
Cite
@article{arxiv.2201.02246,
title = {Quantum computing based on complex Clifford algebras},
author = {Jaroslav Hrdina and Ales Navrat and Petr Vasik},
journal= {arXiv preprint arXiv:2201.02246},
year = {2022}
}