Mathematical foundation of quantum annealing

@article{Morita2008MathematicalFO,
  title={Mathematical foundation of quantum annealing},
  author={Satoshi Morita and Hidetoshi Nishimori},
  journal={Journal of Mathematical Physics},
  year={2008},
  volume={49},
  pages={125210}
}
Quantum annealing is a generic name of quantum algorithms that use quantum-mechanical fluctuations to search for the solution of an optimization problem. It shares the basic idea with quantum adiabatic evolution studied actively in quantum computation. The present paper reviews the mathematical and theoretical foundations of quantum annealing. In particular, theorems are presented for convergence conditions of quantum annealing to the target optimal state after an infinite-time evolution… 

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