basic_functions#

Functions

`column_echelon_form`
`compose_to_zero`	Check whether two matrices multiply to give zero.
`direct_sum_codes`	Compute the direct sum of two codes (as chain or cochain complexes).
`direct_sum_matrices`	Compute the direct sum of two matrices.
`dot_product`	Takes the bilinear symmetric nondegenerate form, i.e. dot product, F_2^n x F_2^n -> F_2.
`find_X_basis`	Calculate a basis of X logical operators of a CSScode.
`find_Z_basis`	Calculate a basis of Z logical operators of a CSScode.
`find_homology_basis`
`find_paired_basis`	Calculate a paired basis of logical operators of a CSScode.
`flip_code`	Takes a CSS code and exchanges PX and PZ, giving a code with the same parameters but flipped Z and X generators.
`image_all_vectors`	Calculates all nonzero vectors in the image of a matrix.
`image_basis_calc`	Calculates a basis of the image of a matrix.
`indices_to_vector`	Converts a list of indices to a vector with support on those indices.
`is_valid_CSScode`	Check whether a CSScode is valid, i.e. the generators commute.
`kernel_all_vectors`	Calculates all nonzero vectors in the kernel of a matrix.
`kernel_basis_calc`	Calculates a basis of the kernel of a matrix.
`max_measurement_support`	Finds the maximum number of generators any single qubit in a CSScode is in the support of.
`max_measurement_weight`	Finds the maximum weight of any generator in a CSScode.
`multiply_F2`	Multiplies two matrices over F_2.
`num_X_stabs`	Finds the number of X-type stabiliser generators in a CSScode.
`num_Z_stabs`	Finds the number of Z-type stabiliser generators in a CSScode.
`num_data_qubits`	Finds the number of data qubits in a CSScode.
`num_logical_qubits`	Calculate the number of logical qubits of a CSScode.
`systolic_distance`
`vec_addition`
`vector_to_indices`	Converts a vector over F_2 to a list of entries that vector has support on.

Classes

CSScode

A qubit Calderbank-Shor-Steane code with a set of stabiliser generators is a pair of parity-check matrices over the field F_2.