Knapsack

class Knapsack(values, weights, max_weight)[source]

Bases: OptimizationApplication

Optimization application for the “knapsack problem” [1].

References

[1]: “Knapsack problem”, https://en.wikipedia.org/wiki/Knapsack_problem

Parameters:

  • values (list[int]) – A list of the values of items

  • weights (list[int]) – A list of the weights of items

  • max_weight (int) – The maximum weight capacity

Attributes

max_weight

Getter of max_weight

Returns:

The maximal weight for the knapsack problem

Methods

interpret(result)[source]

Interpret a result as item indices

Parameters:

result (OptimizationResult | np.ndarray) – The calculated result of the problem

Returns:

A list of items whose corresponding variable is 1

Return type:

list[int]

static sample_most_likely(state_vector)

Compute the most likely binary string from state vector.

Parameters:

state_vector (QuasiDistribution | Statevector | np.ndarray | dict) – state vector or counts or quasi-probabilities.

Returns:

binary string as numpy.ndarray of ints.

Raises:

ValueError – if state_vector is not QuasiDistribution, Statevector, np.ndarray, or dict.

Return type:

np.ndarray

to_quadratic_program()[source]

Convert a knapsack problem instance into a QuadraticProgram

Returns:

The QuadraticProgram created from the knapsack problem instance.

Return type:

QuadraticProgram