Novel method to solve Hamilton loop problem
Jun Meng · Jisuanji yingyong yanjiu · 2008
Hamilton loop problem belongs to NP-complete problems.This paper proposed an approach to it based on quantum computation and chaotic dynamics.Firstly,using a Boolean polynomial analyzed the Hamilton loop problem.Secondly,constructed a novel model based on quantum computation and chaotic dynamics which using a chaotic dynamics amplifier amplified the initial value in polynomial time.Considered the Hamilton loop problem and argued that the problem,in principle,it could be solved in polynomial time if the quantum computer was combined with the chaotic dynamics amplifier based on the logistic map.