Quantum-inspired Search Method for Low-energy States of Classical Ising Hamiltonians

@article{Ueda2022QuantuminspiredSM,
  title={Quantum-inspired Search Method for Low-energy States of Classical Ising Hamiltonians},
  author={Hiroshi Ueda and Yuichi Otsuka and Seiji Yunoki},
  journal={Journal of the Physical Society of Japan},
  year={2022}
}
We develop a quantum-inspired numerical procedure for searching low-energy states of a classical Hamiltonian including two-body full-connected random Ising interactions and a random local longitudinal magnetic field. In this method, we introduce infinitesimal quantum interactions that cannot commute with the original Ising Hamiltonian, and generate and truncate direct product states inspired by the Krylov subspace method to obtain the low-energy spectrum of the original classical Ising… 

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