Hopf algebra description of quantum circuits
Quantum Physics
2010-02-25 v2 Mathematical Physics
math.MP
Abstract
The controlled-NOT gate of qubit quantum circuits is shown to be described in terms of a Hopf algebra. Accordingly, any qubit quantum circuit can be expressed as the Hopf algebraic computations and unitary transformations on one qubit.
Cite
@article{arxiv.1002.3661,
title = {Hopf algebra description of quantum circuits},
author = {Naoki Sasakura},
journal= {arXiv preprint arXiv:1002.3661},
year = {2010}
}
Comments
4 pages, 2 figures, some sentences and one reference added