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We numerically study quantum adiabatic algorithm for the propositionalsatisfiability. A new class of previously unknown hard instances is identifiedamong random problems. We numerically find that the running time for suchinstances grows exponentially with their size. Worst case complexity of quantumadiabatic algorithm therefore seems to be exponential.Comment: 7 page

Scaling of the running time of the quantum adiabatic algorithm for propositional satisfiability