Residual Energies after Slow Quantum Annealing
Disordered Systems and Neural Networks
2009-11-11 v1
Abstract
Features of the residual energy after the quantum annealing are investigated. The quantum annealing method exploits quantum fluctuations to search the ground state of classical disordered Hamiltonian. If the quantum fluctuation is reduced sufficiently slowly and linearly by the time, the residual energy after the quantum annealing falls as the inverse square of the annealing time. We show this feature of the residual energy by numerical calculations for small-sized systems and derive it on the basis of the quantum adiabatic theorem.
Keywords
Cite
@article{arxiv.cond-mat/0502203,
title = {Residual Energies after Slow Quantum Annealing},
author = {Sei Suzuki and Masato Okada},
journal= {arXiv preprint arXiv:cond-mat/0502203},
year = {2009}
}
Comments
4 pages, 2 figures