Bounds for the adiabatic approximation with applications to quantum computation
Quantum Physics
2007-11-08 v3
Abstract
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.
Keywords
Cite
@article{arxiv.quant-ph/0603175,
title = {Bounds for the adiabatic approximation with applications to quantum computation},
author = {Sabine Jansen and Mary-Beth Ruskai and Ruedi Seiler},
journal= {arXiv preprint arXiv:quant-ph/0603175},
year = {2007}
}
Comments
15 pages, one figure. Two comments added in Secs. 2 and 5