Phys. Rev. Lett. 102, 220401 (2009) [4 pages]Consistency of the Adiabatic TheoremReceived 10 November 2008; published 3 June 2009 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. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.102.220401
DOI:
10.1103/PhysRevLett.102.220401
PACS:
03.65.Ta, 03.65.Ca, 03.67.Lx
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