Mathematical Foundations of Holonomic Quantum Computer II
Quantum Physics
2007-05-23 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
This is a sequel to the papers (quant-ph/9910063) and (quant-ph/0004102). The aim of this paper is to give mathematical foundations to Holonomic Quantum Computation (Computer) proposed by Zanardi and Rasetti (quant-ph/9904011) and Pachos and Chountasis (quant-ph/9912093). In 2-qubit case we give an explicit form to non-abelian Berry connection of quantum computational bundle which is associated with Holonomic Quantum Computation, on some parameter space. We also suggest a possibility that not only usual holonomy but also higher-dimensional holonomies must be used to prove a universality of our Holonomic Quantum Computation.
Keywords
Cite
@article{arxiv.quant-ph/0101102,
title = {Mathematical Foundations of Holonomic Quantum Computer II},
author = {Kazuyuki Fujii},
journal= {arXiv preprint arXiv:quant-ph/0101102},
year = {2007}
}
Comments
Latex file, 36 pages