• Corpus ID: 222090017

Quantum-inspired search method for low-energy states of classical Ising Hamiltonians

@article{Ueda2020QuantuminspiredSM,
  title={Quantum-inspired search method for low-energy states of classical Ising Hamiltonians},
  author={Hiroshi Ueda and Yuichi Otsuka and Seiji Yunoki},
  journal={arXiv: Statistical Mechanics},
  year={2020}
}
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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References

SHOWING 1-10 OF 50 REFERENCES
Study of Optimization Problems by Quantum Annealing
We introduce quantum fluctuations into the simulated annealing process of optimization problems, aiming at faster convergence to the optimal state. The idea is tested by the two models, the
Spin Glass Theory and Beyond
This book contains a detailed and self-contained presentation of the replica theory of infinite range spin glasses. The authors also explain recent theoretical developments, paying particular
Krylov Subspace Methods: Principles and Analysis
1. Introduction 2. Krylov subspace methods 3. Matching moments and model reduction view 4. Short recurrences for generating orthogonal Krylov subspace bases 5. Cost of computations using Krylov
Phys
  • Rev. X 10, 021067
  • 2020
Frontiers in Physics 7
  • 48
  • 2019
Journal of Statistical Mechanics: theory and experiment
Phys
  • Rev. E 100, 043311
  • 2019
Rev
  • Mod. Phys. 90, 015002
  • 2018
Soc
  • Jpn. 87, 023002
  • 2018
Phys
  • Rev. X 6, 1
  • 2015
...
1
2
3
4
5
...