Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2011-06-03
Physics
Condensed Matter
Disordered Systems and Neural Networks
10 pages, 5 figures, revised version will appear in proceedings of Kinki University Quantum Computing Series: "Symposium on Qu
Scientific paper
In this paper we show quantum fluctuation effect of fully frustrated Ising spin systems. Quantum annealing has been expected to be an efficient method to find ground state of optimization problems. However it is not clear when to use the quantum annealing. In order to clarify when the quantum annealing works well, we have to study microscopic properties of quantum annealing. In fully frustrated Ising spin systems, there are macroscopically degenerated ground states. When we apply quantum annealing to fully frustrated systems, we cannot obtain each ground state with the same probability. This nature is consistent with "order by disorder" which is well-known mechanism in frustrated systems.
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