pygsti.algorithms.grammatrix.max_gram_rank_and_eigenvalues

pygsti.algorithms.grammatrix.max_gram_rank_and_eigenvalues#

max_gram_rank_and_eigenvalues(dataset, target_model, max_basis_string_length=10, fixed_lists=None)#

Compute the rank and singular values of a maximal Gram matrix.

That is, compute the rank and singular values of the Gram matrix computed using the basis: max_gram_basis(dataset.gate_labels(), dataset, max_basis_string_length).

Parameters:

  • dataset (DataSet) – the dataset to use when constructing the Gram matrix

  • target_model (Model) – A model used to make sense of circuits and for the construction of a theoretical gram matrix and spectrum.

  • max_basis_string_length (int, optional) – the maximum string length considered for Gram matrix basis elements. Defaults to 10.

  • fixed_lists ((prep_fiducials, effect_fiducials), optional) – 2-tuple of Circuit lists, specifying the preparation and measurement fiducials to use when constructing the Gram matrix, and thereby bypassing the search for such lists.

Returns:

  • rank (integer)

  • singularvalues (numpy array)

  • targetsingularvalues (numpy array)