Non-equilibrium dynamics of the Ising model is a classical stochastic process whereas quantum mechanics has no stochastic elements in the classical sense. Nevertheless, it has been known that there exists a close formal relationship between these two processes. We reformulate this relationship and use it to compare the efficiency of simulated annealing that uses classical stochastic processes and quantum annealing to solve combinatorial optimization problems. It is shown that classical dynamics can be efficiently simulated by quantum- mechanical processes whereas the converse is not necessarily true. This may imply that quantum annealing may be regarded as a more powerful tool than simulated annealing for optimization problems.
|Journal||Journal of Physics: Conference Series|
|Publication status||Published - 2015 Sep 3|
|Event||8th International Conferences on Statistical Physics, Statphys-Kolkata 2014 - Kolkata, India|
Duration: 2014 Dec 1 → 2014 Dec 5
ASJC Scopus subject areas
- Physics and Astronomy(all)