Quantum annealing: A new method for minimizing multidimensional functions

@article{Finnila1994QuantumAA,
  title={Quantum annealing: A new method for minimizing multidimensional functions},
  author={Aleta Berk Finnila and M. A. Gomez and Craig Sebenik and Charles Stenson and Jimmie D. Doll},
  journal={Chemical Physics Letters},
  year={1994},
  volume={219},
  pages={343-348}
}
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References

SHOWING 1-10 OF 11 REFERENCES
Quantum Monte Carlo
An outline of a random walk computational method for solving the Schr�dinger equation for many interacting particles is given, together with a survey of results achieved so far and of applications
Reducing Quasi-Ergodic Behavior in Monte Carlo Simulations by J-Walking: Applications to Atomic Clusters
A method is introduced that is easy to implement and greatly reduces the systematic error resulting from quasi‐ergodicity, or incomplete sampling of configuration space, in Monte Carlo simulations of
Optimization by Simulated Annealing
TLDR
A detailed analogy with annealing in solids provides a framework for optimization of the properties of very large and complex systems.
Global energy minimum searches using an approximate solution of the imaginary time Schroedinger equation
We present a method for finding the global energy minimum of a multidimensional potential energy surface through an approximate solution of the Schrodinger equation in imaginary time. The wave
Physical cluster mechanics: Statics and energy surfaces for monatomic systems
Abstract The potential energy surfaces for clusters of some three to sixty atoms under Lennard-Jones forces have been systematically explored using numerical optimization techniques. In searching for
Mean field theory as a tool for intramolecular conformational optimization. 1. Tests on terminally-blocked alanine and met-enkephalin
A self-consistent multitorsional field (SCMTF) method of global optimization of the conformational energy of an oligopeptide is proposed. The method is based on the idea that the maximum of the
Computational study of transition dynamics in 55-atom clusters
Molecular dynamics computer simulation has ben employed to study structure and isomerization dynamics of intact 55‐atom clusters. The interactions used were selected to represent the heavier noble
Optimization by simulated annealing: Quantitative studies
TLDR
Experimental studies of the simulated annealing method are presented and its computational efficiency when applied to graph partitioning and traveling salesman problems are presented.
...
1
2
...