More on Optical Holonomic Quantum Computer
Quantum Physics
2007-05-23 v1
Abstract
We in this paper consider a further generalization of the (optical) holonomic quantum computation proposed by Zanardi and Rasetti (quant-ph/9904011), and reinforced by Fujii (quant-ph/9910069) and Pachos and Chountasis (quant-ph/9912093). We construct a quantum computational bundle on some parameter space, and calculate non-abelian Berry connections and curvatures explicitly in the special cases. Our main tool is unitary coherent operators based on Lie algebras su(n+1) and su(n,1), where the case of n = 1 is the previous one.
Keywords
Cite
@article{arxiv.quant-ph/0005129,
title = {More on Optical Holonomic Quantum Computer},
author = {Kazuyuki Fujii},
journal= {arXiv preprint arXiv:quant-ph/0005129},
year = {2007}
}
Comments
Latex file, 23 pages