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Quantum annealing of the random-field Ising model by transverse ferromagnetic interactions.
| Content Provider | Semantic Scholar |
|---|---|
| Author | Suzuki, Sei Nishimori, Hidetoshi Suzuki, Masuo |
| Copyright Year | 2007 |
| Abstract | We introduce transverse ferromagnetic interactions, in addition to a simple transverse field, to accelerate the convergence of quantum annealing of the random-field Ising model. The conventional approach using only the transverse-field term is known to be plagued by slow convergence when the true ground state has strong ferromagnetic characteristics for the random-field Ising model. The transverse ferromagnetic interactions are shown to improve the performance significantly in such cases. This conclusion is drawn from the analyses of the energy eigenvalues of instantaneous stationary states as well as by the very fast algorithm of Bethe-type mean-field annealing adopted to quantum systems. The present study highlights the importance of a flexible choice of the type of quantum fluctuations to achieve the best possible performance in quantum annealing. The existence of such flexibility is an outstanding advantage of quantum annealing over simulated annealing. |
| Starting Page | 051112 |
| Ending Page | 051112 |
| Page Count | 1 |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.stat.phys.titech.ac.jp/~nishimori/papers/Suzuki_HN_Suzuki07.pdf |
| PubMed reference number | 17677027v1 |
| Volume Number | 75 |
| Issue Number | 5 |
| Part | 1 |
| Journal | Physical review. E, Statistical, nonlinear, and soft matter physics |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Convergence (action) Entity Name Part Qualifier - adopted algorithm |
| Content Type | Text |
| Resource Type | Article |
