Consistency of the Adiabatic Theorem

M. H. S. Amin
Phys. Rev. Lett. 102, 220401 – Published 3 June 2009; Erratum Phys. Rev. Lett. 115, 039902 (2015)

Abstract

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.

  • Received 10 November 2008

DOI:https://doi.org/10.1103/PhysRevLett.102.220401

©2009 American Physical Society

Erratum

Authors & Affiliations

M. H. S. Amin

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

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Issue

Vol. 102, Iss. 22 — 5 June 2009

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