Consistency of the adiabatic theorem.

Research paper by M H S MH Amin

Indexed on: 08 Aug '09Published on: 08 Aug '09Published in: Physical review letters


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.