Quantum Adiabatic Evolution Algorithms versus Simulated Annealing
Quantum Physics
2007-05-23 v1
Abstract
We explain why quantum adiabatic evolution and simulated annealing perform similarly in certain examples of searching for the minimum of a cost function of n bits. In these examples each bit is treated symmetrically so the cost function depends only on the Hamming weight of the n bits. We also give two examples, closely related to these, where the similarity breaks down in that the quantum adiabatic algorithm succeeds in polynomial time whereas simulated annealing requires exponential time.
Keywords
Cite
@article{arxiv.quant-ph/0201031,
title = {Quantum Adiabatic Evolution Algorithms versus Simulated Annealing},
author = {Edward Farhi and Jeffrey Goldstone and Sam Gutmann},
journal= {arXiv preprint arXiv:quant-ph/0201031},
year = {2007}
}
Comments
16pp., 10 EPS figures, using BoxedEPS macros and LaTeX. Email correspondence to E. Farhi <[email protected]>