Analysis

Models

using QUBOTools

n = 8

# Generates a Sherrington-Kirpatrick model
model = QUBOTools.generate(QUBOTools.SK(n))

QUBOTools Model
▷ Sense ………………… Min
▷ Domain ……………… BoolDomain
▷ Variables ……… 8

Density:
▷ Linear ……………… 100.00%
▷ Quadratic ……… 100.00%
▷ Total ………………… 100.00%

There are no warm-start values.

There are no solutions available.

Model Density

using Plots

plot(QUBOTools.ModelDensityPlot(model))

System Layout

plot(QUBOTools.SystemLayoutPlot(model))

Solutions

solution = magical_solution_method(model)

SampleSet{Float64, Int64} with 30 samples:
  Sample{Float64, Int64}([0, 1, 1, 1, 1, 0, 1, 1], -9.911146163609363, 3)
  Sample{Float64, Int64}([1, 0, 0, 0, 1, 1, 0, 1], -7.935866956098145, 1)
  Sample{Float64, Int64}([1, 0, 0, 1, 0, 1, 0, 0], -7.70681348783963, 9)
  Sample{Float64, Int64}([1, 0, 0, 1, 0, 0, 0, 1], -4.733655701706034, 1)
  Sample{Float64, Int64}([1, 0, 1, 1, 0, 0, 0, 0], -4.614044366882826, 9)
  Sample{Float64, Int64}([0, 1, 0, 0, 1, 1, 1, 1], -4.614044366882823, 3)
  Sample{Float64, Int64}([0, 0, 0, 1, 1, 1, 0, 1], -3.2277890386941657, 9)
  Sample{Float64, Int64}([1, 1, 1, 0, 0, 0, 0, 0], -2.549138683910149, 9)
  Sample{Float64, Int64}([1, 0, 0, 0, 0, 1, 1, 0], -2.2058416368323686, 4)
  ⋮

Energy Frequency

λ = minimum(QUBOTools.value, solution) # threshold

plot(QUBOTools.EnergyFrequencyPlot(solution, λ))

Energy Distribution

plot(QUBOTools.EnergyDistributionPlot(solution))