• DOI:10.1103/PhysRevA.93.032301
• Corpus ID: 118724989

Determining Ramsey numbers on a quantum computer

@article{Wang2015DeterminingRN,
  title={Determining Ramsey numbers on a quantum computer},
  author={Hefeng Wang},
  journal={Physical Review A},
  year={2015},
  volume={93},
  pages={032301}
}

• Hefeng Wang
• Published 7 October 2015
• Physics, Computer Science
• Physical Review A

We present a quantum algorithm for computing the Ramsey numbers whose computational complexity grows super-exponentially with the number of vertices of a graph on a classical computer. The problem is mapped to a decision problem on a quantum computer, a probe qubit is coupled to a register that represents the problem and detects the energy levels of the problem Hamiltonian. The decision problem is solved by determining whether the probe qubit exhibits resonance dynamics. The algorithm shows a quadratic speedup over its classical counterparts, and the degenerate ground state problem in the adiabatic quantum evolution algorithm for this problem is avoided.