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Monte Carlo studies of quantum and classical annealing on a double-well | Lorenzo Stella
; Giuseppe E. Santoro
; Erio Tosatti
; | Date: |
3 Dec 2005 | Subject: | Disordered Systems and Neural Networks | Abstract: | We present results for a variety of Monte Carlo annealing approaches, both classical and quantum, benchmarked against one another for the textbook optimization exercise of a simple one-dimensional double-well. In classical (thermal) annealing, the dependence upon the move chosen in a Metropolis scheme is studied and correlated with the spectrum of the associated Markov transition matrix. In quantum annealing, the Path-Integral Monte Carlo approach is found to yield non-trivial sampling difficulties associated with the tunneling between the two wells. The choice of fictitious quantum kinetic energy is also addressed. We find that a ``relativistic’’ kinetic energy form, leading to a higher probability of long real space jumps, can be considerably more effective than the standard one. | Source: | arXiv, cond-mat/0512064 | Services: | Forum | Review | PDF | Favorites |
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