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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