Evaluating holonomic quantum computation: beyond adiabatic limitation
Quantum Physics
2007-05-23 v1
Abstract
The proposal of the optical scheme for holonomic quantum computation is evaluated based on dynamical resolution to the system beyond adiabatic limitation. The time-dependent Schr\"{o}dinger equation is exactly solved by virtue of the cranking representation and gauge transformation approach. Besides providing rigorous confirmation to holonomies of the geometrical prediction that holds for the ideally adiabatic situation, the dynamical resolution enables one to evaluate elaborately the amplitude of the nonadiabatic deviation, so that the errors induced to the quantum computation can be explicitly estimated.
Cite
@article{arxiv.quant-ph/0208120,
title = {Evaluating holonomic quantum computation: beyond adiabatic limitation},
author = {LiXiang Cen and XinQi Li and YiJing Yan and HouZhi Zheng and ShunJin Wang},
journal= {arXiv preprint arXiv:quant-ph/0208120},
year = {2007}
}
Comments
RevTeX, 4 pages + 2 figures