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Evaluating holonomic quantum computation: beyond adiabatic limitation

LiXiang Cen·XinQi Li·YiJing Yan·HouZhi Zheng·ShunJin Wang
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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 Schrödinger 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.

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LiXiang Cen, XinQi Li, YiJing Yan, HouZhi Zheng, ShunJin Wang. 2002-08-18. Evaluating holonomic quantum computation: beyond adiabatic limitation. https://arxiv.org/abs/quant-ph/0208120

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