A Quantum Approach to Classical Statistical Mechanics

Details A Quantum Approach to Classical Statistical Mechanics A Quantum Approach to Classical Statistical Mechanics

2006-09-27

arxiv.org/abs/quant-ph/0609216v2

Physics

Quantum Physics

4 pages, no figures

Scientific paper

10.1103/PhysRevLett.99.030603

We present a new approach to study the thermodynamic properties of $d$-dimensional classical systems by reducing the problem to the computation of ground state properties of a $d$-dimensional quantum model. This classical-to-quantum mapping allows us to deal with standard optimization methods, such as simulated and quantum annealing, on an equal basis. Consequently, we extend the quantum annealing method to simulate classical systems at finite temperatures. Using the adiabatic theorem of quantum mechanics, we derive the rates to assure convergence to the optimal thermodynamic state. For simulated and quantum annealing, we obtain the asymptotic rates of $T(t) \approx (p N) /(k_B \log t)$ and $\gamma(t) \approx (Nt)^{-\bar{c}/N}$, for the temperature and magnetic field, respectively. Other annealing strategies, as well as their potential speed-up, are also discussed.

Affiliated with

Also associated with

No associations

Rating

A Quantum Approach to Classical Statistical Mechanics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Quantum Approach to Classical Statistical Mechanics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Quantum Approach to Classical Statistical Mechanics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-532172