Adiabatic approximation with exponential accuracy for many-body systems and quantum computation

for many-body systems and quantum computation Daniel A. Lidar, Ali T. Rezakhani, and Alioscia Hamma Department of Chemistry, University of Southern California, Los Angeles, California 90089, USA Department of Electrical Engineering, University of Southern California, Los Angeles, California 90089, USA Department of Physics, University of Southern California, Los Angeles, California 90089, USA Center for Quantum Information Science and Technology, University of Southern California, Los Angeles, California 90089, USA Perimeter Institute for Theoretical Physics, 31 Caroline St. N, Waterloo, Ontario N2L 2Y5, Canada Massachusetts Institute of Technology, Research Laboratory of Electronics, 77 Massachusetts Ave., Cambridge, Massachusetts 02139, USA