Lab Home | Phone | Search
Center for Nonlinear Studies  Center for Nonlinear Studies
 Colloquia Archive 
 Postdoc Seminars Archive 
 Quantum Lunch 
 Quantum Lunch Archive 
 CMS Colloquia 
 Q-Mat Seminars 
 Q-Mat Seminars Archive 
 Kac Lectures 
 Dist. Quant. Lecture 
 Ulam Scholar 
 CNLS Fellowship Application 
 Summer Research 
 Past Visitors 
 History of CNLS 
 Maps, Directions 
 CNLS Office 
Thursday, December 03, 2009
12:30 PM - 2:00 PM
T-DO Conference Room (TA-3, Bldg 123)

Quantum Lunch

Necessary Conditions for the Quantum Adiabatic Approximation

Rolando Somma

A gapped quantum system that is adiabatically perturbed remains in its eigenstate after the perturbation. We prove that, for constant gap, general quantum processes that approximately prepare the final eigenstate require a minimum time proportional to the ratio of the length of the eigenstate path to the gap. Thus, no rigorous adiabatic condition can yield a smaller cost. We also give a necessary condition for the adiabatic approximation that is suitable for those cases where the gap varies.

Host: Diego Dalvit