Consistency of the Adiabatic Theorem

Authors:
M. S. Sarandy;L.-A. Wu;D. A. Lidar
Affiliations:
Chemical Physics Theory Group, Department of Chemistry, and Center for Quantum Information and Quantum Control, University of Toronto, Toronto, Canada M5S 3H6;Chemical Physics Theory Group, Department of Chemistry, and Center for Quantum Information and Quantum Control, University of Toronto, Toronto, Canada M5S 3H6;Chemical Physics Theory Group, Department of Chemistry, and Center for Quantum Information and Quantum Control, University of Toronto, Toronto, Canada M5S 3H6
Venue:
Quantum Information Processing
Year:
2004

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Abstract

We review the quantum adiabatic approximation for closed systems, and its recently introduced generalization to open systems (M.S. Sarandy and D.A. Lidar, eprint quant-ph/0404147). We also critically examine a recent argument claiming that there is an inconsistency in the adiabatic theorem for closed quantum systems (K.P. Marzlin and B.C. Sanders, Phys. Rev. Lett. 93, 160408 (2004).) and point out how an incorrect manipulation of the adiabatic theorem may lead one to obtain such an inconsistent result.PACS: 03.65.Ta, 03.65.Yz, 03.67.-a, 03.65.Vf.