StabilizerTable.to_matrix

StabilizerTable.to_matrix(sparse=False, array=False)

Convert to a list or array of Stabilizer matrices.

For large StabilizerTables converting using the array=True kwarg will be more efficient since it allocates memory for the full rank-3 Numpy array of matrices in advance.

Table 14 Stabilizer Representations

Label	Phase	Symplectic	Matrix	Pauli
"+I"	0	\([0, 0]\)	\(\begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}\)	\(I\)
"-I"	1	\([0, 0]\)	\(\begin{bmatrix} -1 & 0 \\ 0 & -1 \end{bmatrix}\)	\(-I\)
"X"	0	\([1, 0]\)	\(\begin{bmatrix} 0 & 1 \\ 1 & 0 \end{bmatrix}\)	\(X\)
"-X"	1	\([1, 0]\)	\(\begin{bmatrix} 0 & -1 \\ -1 & 0 \end{bmatrix}\)	\(-X\)
"Y"	0	\([1, 1]\)	\(\begin{bmatrix} 0 & 1 \\ -1 & 0 \end{bmatrix}\)	\(iY\)
"-Y"	1	\([1, 1]\)	\(\begin{bmatrix} 0 & -1 \\ 1 & 0 \end{bmatrix}\)	\(-iY\)
"Z"	0	\([0, 1]\)	\(\begin{bmatrix} 1 & 0 \\ 0 & -1 \end{bmatrix}\)	\(Z\)
"-Z"	1	\([0, 1]\)	\(\begin{bmatrix} -1 & 0 \\ 0 & 1 \end{bmatrix}\)	\(-Z\)

Parameters

• sparse (bool) – if True return sparse CSR matrices, otherwise return dense Numpy arrays (Default: False).

• array (bool) – return as rank-3 numpy array if True, otherwise return a list of Numpy arrays (Default: False).

Returns

A list of dense Pauli matrices if array=False and sparse=False. list: A list of sparse Pauli matrices if array=False and sparse=True. array: A dense rank-3 array of Pauli matrices if array=True.

Return type

list