Representing matrices as vectors (qics.vectorize)ΒΆ

This module provides functionalities for obtaining column vector representations of symmetric and Hermitian matrices, and also to convert these vector representations back into their matrix forms. Most of these functions share the following two parameters which lead to different vectorizations of a matrix.

  • iscomplex: Whether to assume the matrix we are vectorizing to or from is a complex Hermitian matrix or just a real symmetric matrix.

  • compact: Whether to use a compact vectorization which discards duplicate or redundant entries from the symmetric or Hermitian matrix.

Further details about these vectorizations can be found in the user guide.

eye(n[, iscomplex , compact])

Matrix representation of the identity superoperator

lin_to_mat(lin, dims[, iscomplex , compact])

Matrix representation of a given linear superoperator

mat_dim(len[, iscomplex , compact])

Dimension of the matrix corresponding to a vector representation

mat_to_vec(mat[, compact])

Converts a symmetric or Hermitian matrix into a column vector

vec_dim(side[, iscomplex , compact])

Dimension of the vector representation of a matrix

vec_to_mat(vec[, iscomplex , compact])

Converts a column vector into a symmetric or Hermitian matrix