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Center for Nonlinear Studies |
We discuss the quantum transition in the random energy model ---the simplest possible model of mean field spin glasses--- and give an elementary solution of the quantum thermodynamics and of the first order quantum transition. The gap between lower states can also be calculated, and is found to be exponentially small in the system size at the transition. We argue that this has dire consequences for quantum annealing applied to random constraint satisfaction problems such as random satisfiability, random graph coloring or number partitioning.
Host: Misha Chertkov, T-13