Consistency of the Adiabatic Theorem

Details Consistency of the Adiabatic Theorem Consistency of the Adiabatic Theorem

2008-10-24

arxiv.org/abs/0810.4335v3

Phys. Rev. Lett. 102, 220401 (2009)

Physics

Quantum Physics

4 pages, version to appear in PRL

Scientific paper

The adiabatic theorem provides the basis for the adiabatic model of quantum computation. Recently the conditions required for the adiabatic theorem to hold have become a subject of some controversy. Here we show that the reported violations of the adiabatic theorem all arise from resonant transitions between energy levels. In the absence of fast driven oscillations the traditional adiabatic theorem holds. Implications for adiabatic quantum computation is discussed.

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