Probing the lowest energy configuration of a complex system by quantum annealing was recently found to be more effective than its classical, thermal counterpart. By comparing classical and quantum Monte Carlo annealing pro- tocols on the two-dimensional random Ising model (a prototype spin glass), we confirm the superiority of quantum annealing relative to classical annealing. We also propose a theory of quantum annealing based on a cascade of Landau- Zener tunneling events. For both classical and quantum annealing, the residual energy after annealing is inversely proportional to a power of the logarithm of the annealing time, but the quantum case has a larger power that makes it faster.
Theory of quantum annealing of an Ising spin glass / Santoro, Giuseppe E.; Martonak, Roman; Toastti, Erio; Car, Roberto. - In: SCIENCE. - ISSN 0036-8075. - 295:5564(2002), pp. 2427-2430. [10.1126/science.1068774]
Theory of quantum annealing of an Ising spin glass
Santoro, Giuseppe E.;
2002-01-01
Abstract
Probing the lowest energy configuration of a complex system by quantum annealing was recently found to be more effective than its classical, thermal counterpart. By comparing classical and quantum Monte Carlo annealing pro- tocols on the two-dimensional random Ising model (a prototype spin glass), we confirm the superiority of quantum annealing relative to classical annealing. We also propose a theory of quantum annealing based on a cascade of Landau- Zener tunneling events. For both classical and quantum annealing, the residual energy after annealing is inversely proportional to a power of the logarithm of the annealing time, but the quantum case has a larger power that makes it faster.File | Dimensione | Formato | |
---|---|---|---|
Santoro_qann_science_2002.pdf
non disponibili
Licenza:
Non specificato
Dimensione
298.18 kB
Formato
Adobe PDF
|
298.18 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.