2.1.2. filter_functions.basis

This module defines the Basis class, a subclass of NumPy’s ndarray, to represent operator bases.

2.1.2.1. Classes

Basis: The operator basis as an array of shape (d**2, d, d) with d the dimension of the Hilbert space

normalize(): Function to normalize a Basis instance
expand(): Function to expand an array of operators in a given basis
ggm_expand(): Fast function to expand an array of operators in a Generalized Gell-Mann basis

Functions

`equivalent_pauli_basis_elements`(idx, N)	Get the indices of the equivalent (up to identities tensored to it) basis elements of Pauli bases of qubits at position idx in the total Pauli basis for N qubits.
`expand`(M, basis[, normalized, hermitian, tidyup])	Expand the array M in the basis given by basis.
`ggm_expand`(M[, traceless, hermitian, tidyup])	Expand the matrix M in a Generalized Gell-Mann basis [R0112a120aa9b-Bert08].
`normalize`(b)	Return a copy of the basis b normalized with respect to the Frobenius norm [R262ffa5493c5-Gol85]:
`remap_pauli_basis_elements`(order, N)	For a N-qubit Pauli basis, transpose the order of the subsystems and return the indices that permute the old basis to the new.

Classes

Basis(basis_array[, traceless, btype, labels])

Class for operator bases.