Shor’s algorithm shows that circuit-model quantum computers can factorize integers in polynomial time – exponentially more efficiently than classical computers. There is currently no analogous algorithm for Adiabatic Quantum Computers(AQCs). We illustrate through a number of factorization problems that a naive AQC implemen- tation fails to reveal an exponential speed up. An exponential speed up does become evident with the optimization of the AQC evolution path utilizing existing optimisa- tion approaches. We reduce the computation time even further by optimization over heuristically-derived parametrised functions. Finally, we improve our own results by exploring two-dimensional paths, and give arguments that using more dimensions in the search space can enhance the computational power to an even greater extent.
| Identifer | oai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:NSHD.ca#10222/14381 |
| Date | 09 December 2011 |
| Creators | Yousefabadi, Navid |
| Source Sets | Library and Archives Canada ETDs Repository / Centre d'archives des thèses électroniques de Bibliothèque et Archives Canada |
| Language | English |
| Detected Language | English |
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