Quantum stochastic optimization
198912 pages
Published in:
- Stoch.Proc.Appl. 33 (1989) 2, 233-244
DOI:
- 10.1016/0304-4149(89)90040-9 (publication)
Citations per year
Abstract: (Elsevier B.V.)
We propose a combinatorial optimization procedure based on the physical idea of using the quantum tunnel effect to allow the search of global minima of a function of many Boolean variables to escape from poor local minima. More specifically, the function
V to be minimized is viewed as the potential energy term in a Schrödinger Hamiltonian
H for a quantum spin 1/2 system, the kinetic energy term being the generator of a random walk tailored to the neighborhood structure associated with
V The distorted random walk associated with (a suitable approximation of) the ground state eigenfunction of
H defines then our approximate optimization strategy. A numerical application to the graph partitioning problem is presented.- combinatorial optimizationm
- global minima
- random walk
- Schrödinger Hamiltonian
- potential energy
- graph partitioning
References(14)
Figures(0)
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