SKModel¶
- class SKModel(num_sites, rng_or_seed=None)[source]¶
Bases:
OptimizationApplication
Optimization application of the “Sherrington Kirkpatrick (SK) model” [1].
The SK Hamiltonian over n spins is given as: \(H(x)=-1/\sqrt{n} \sum_{i<j} w_{i,j}x_ix_j\), where \(x_i\in\{\pm 1\}\) is the configuration of spins and \(w_{i,j}\in\{\pm 1\}\) is a disorder chosen independently and uniformly at random. Notice that there are other variants of disorders e.g., with \(w_{i,j}\) chosen from the normal distribution with mean 0 and variance 1.
References
[1]: Dmitry Panchenko. “The Sherrington-Kirkpatrick model: an overview”, https://arxiv.org/abs/1211.1094
- Parameters:
Attributes
Getter of the graph representation.
Getter of the number of sites.
Methods
disorder
()Generate a new disorder of the SK model.
interpret
(result)Interpret a result as configuration of spins.
Convert an SK model problem instance into a
QuadraticProgram
.