Consistency of the Adiabatic Theorem

Jun 3, 2009
Published in:
  • Phys.Rev.Lett. 102 (2009) 22, 220401
  • Published: Jun 3, 2009

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Abstract: (APS)
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 are discussed.