Physics – Quantum Physics
Scientific paper
2002-08-18
Physics
Quantum Physics
RevTeX, 4 pages + 2 figures
Scientific paper
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.
Cen Li-Xiang
Li Xin-Qi
Wang Shun-Jin
Yan YiJing
Zheng Houzhi
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