QICS
qics.vectorize.vec_to_mat¶
- qics.vectorize.vec_to_mat(vec, iscomplex=False, compact=False)[source]¶
Reshapes a column vector into a symmetric or Hermitian matrix.
If
iscomplex=Falseandcompact=False, then this returns the matrix\[\begin{split}\begin{bmatrix}a & b & d & b & c & e & d & e & f\end{bmatrix}^\top \mapsto \begin{bmatrix}a & b & d \\ b & c & e \\ d & e & f\end{bmatrix}.\end{split}\]If
iscomplex=Falseandcompact=True, then this performs the matrix\[\begin{split}\begin{bmatrix} a & \sqrt{2} b & c & \sqrt{2} d & \sqrt{2}e & f \end{bmatrix}^{\top}\mapsto \begin{bmatrix}a & b & d \\ b & c & e \\ d & e & f\end{bmatrix}.\end{split}\]If
iscomplex=Trueandcompact=False, then this returns the matrix\[\begin{split}\begin{bmatrix} a & 0 & b & c & e & f & b & -c & d & 0 & g & h & e & -f & g & -h & k & 0 \end{bmatrix}^{\top}\mapsto \begin{bmatrix} a & b+ci & e+fi \\ b-ci & d & g+hi \\ e-fi & g-hi & k \end{bmatrix}.\end{split}\]If
iscomplex=Trueandcompact=True, then this returns the matrix\[\begin{split}\begin{bmatrix} a & \sqrt{2} b & \sqrt{2} c & d & \sqrt{2} e & \sqrt{2} f & \sqrt{2} g & \sqrt{2} h & k \end{bmatrix}^{\top}\mapsto \begin{bmatrix} a & b+ci & e+fi \\ b-ci & d & g+hi \\ e-fi & g-hi & k \end{bmatrix}.\end{split}\]- Parameters:
- Returns:
ndarrayThe resulting vector.