The Quantum Adiabatic Algorithm applied to random optimization problems: the quantum spin glass perspective

@article{Bapst2012TheQA,
  title={The Quantum Adiabatic Algorithm applied to random optimization problems: the quantum spin glass perspective},
  author={Victor Bapst and Laura Foini and Florent Krzakala and Guilhem Semerjian and Francesco Zamponi},
  journal={ArXiv},
  year={2012},
  volume={abs/1210.0811}
}
Among various algorithms designed to exploit the specific properties of quantum computers with respect to classical ones, the quantum adiabatic algorithm is a versatile proposition to find the minimal value of an arbitrary cost function (ground state energy). Random optimization problems provide a natural testbed to compare its efficiency with that of classical algorithms. These problems correspond to mean field spin glasses that have been extensively studied in the classical case. This paper… 
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