Statistical Mechanical Formulation and Simulation of Prime Factorization of Integers

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.

5 pages, 5figures, Proceedings of 4th YSM-SPIP (Sendai, 14-16 December 2012)

References in corpus (4)

• Gibbs States and the Set of Solutions of Random Constraint Satisfaction Problems
• Spin glasses in the non-extensive regime
• Ensemble Inequivalence and the Spin-Glass Transition
• Phase Transitions and Computational Difficulty in Random Constraint Satisfaction Problems

Cited by in corpus (1)

• Statistical mechanical models of integer factorization problem