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Phys Rev Lett. 2009 Jun 5;102(22):220401. Epub 2009 Jun 3.

Consistency of the adiabatic theorem.

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D-Wave Systems Inc., 100-4401 Still Creek Drive, Burnaby, British Columbia, V5C 6G9, Canada.

Erratum in

  • Phys Rev Lett. 2015 Jul 17;115(3):039902.


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.

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