Statistical Mechanical Formulation and Simulation of Prime Factorization of Integers
Disordered Systems and Neural Networks
2013-11-18 v2
Abstract
We propose a new formulation of the problem of prime factorization of integers. With replica exchange Monte Carlo simulation, the behavior which is seemed to indicate exponential computational hardness is observed. But this formulation is expected to give a new insight into the computational complexity of this problem from a statistical mechanical point of view.
Keywords
Cite
@article{arxiv.1304.0204,
title = {Statistical Mechanical Formulation and Simulation of Prime Factorization of Integers},
author = {Chihiro H. Nakajima},
journal= {arXiv preprint arXiv:1304.0204},
year = {2013}
}
Comments
5 pages, 5figures, Proceedings of 4th YSM-SPIP (Sendai, 14-16 December 2012)