Complexity continuum within Ising formulation of NP problems

@article{Kalinin2020ComplexityCW,
  title={Complexity continuum within Ising formulation of NP problems},
  author={Kirill P. Kalinin and Natalia G. Berloff},
  journal={ArXiv},
  year={2020},
  volume={abs/2008.00466}
}
A promising approach to achieve computational supremacy over the classical von Neumann architecture explores classical and quantum hardware as Ising machines. The minimisation of the Ising Hamiltonian is known to be NP-hard problem for certain interaction matrix classes, yet not all problem instances are equivalently hard to optimise. We propose to identify computationally simple instances with an `optimisation simplicity criterion'. Such optimisation simplicity can be found for a wide range of… 

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