Bounds for the adiabatic approximation with applications to quantum computation

@article{Jansen2007BoundsFT,
  title={Bounds for the adiabatic approximation with applications to quantum computation},
  author={S. Jansen and Mary-Beth Ruskai and R. Seiler},
  journal={Journal of Mathematical Physics},
  year={2007},
  volume={48},
  pages={102111-102111}
}
We present straightforward proofs of estimates used in the adiabatic approximation. The gap dependence is analyzed explicitly. We apply the result to interpolating Hamiltonians of interest in quantum computing. 
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