Exploiting the deep structure of constraint satisfaction problems with quantum computers

  • Authors:
  • Tad Hogg

  • Affiliations:
  • Xerox Palo Alto Alto Research Center, Palo Alto, CA

  • Venue:
  • AAAI'97/IAAI'97 Proceedings of the fourteenth national conference on artificial intelligence and ninth conference on Innovative applications of artificial intelligence
  • Year:
  • 1997

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Abstract

The deep structure of constraint satisfaction problems explains the association of hard search instances with a phase transition in problem solubility. This structure is also the basis of a quantum search algoritbm exhibiting the phase transition. In this paper, this algoritbm is modified to incorporate additional problem structure. This modification is an example of a general method for including heuristics in quantum search. The new algoritbm is evaluated empirically for random 3SAT, illustrating how quantum searches can benefit from using problem structure, on average.