Quantum Computation by Geometrical Means
Quantum Physics
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
A geometrical approach to quantum computation is presented, where a non-abelian connection is introduced in order to rewrite the evolution operator of an energy degenerate system as a holonomic unitary. For a simple geometrical model we present an explicit construction of a universal set of gates, represented by holonomies acting on degenerate states.
Cite
@article{arxiv.quant-ph/0003150,
title = {Quantum Computation by Geometrical Means},
author = {Jiannis Pachos},
journal= {arXiv preprint arXiv:quant-ph/0003150},
year = {2007}
}
Comments
6 pages, 2 figures, REVTEX, to be published in the AMS Contemporary Math Series volume entitled "Quantum Computation & Quantum Information Science"