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# qiskit.quantum_info.Clifford.to_labels¶

Clifford.to_labels(array=False, mode='B')[source]

Convert a Clifford to a list Pauli (de)stabilizer string labels.

For large Clifford converting using the array=True kwarg will be more efficient since it allocates memory for the full Numpy array of labels in advance.

Table 2 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

$$[0, 1]$$

$$\begin{bmatrix} -1 & 0 \\ 0 & 1 \end{bmatrix}$$

$$-Z$$

Paramètres
• array (bool) – return a Numpy array if True, otherwise return a list (Default: False).

• mode (Literal["S", "D", "B"]) – return both stabilizer and destablizer if « B », return only stabilizer if « S » and return only destablizer if « D ».

Renvoie

The rows of the StabilizerTable in label form.

Type renvoyé

list or array

Lève

QiskitError – if stabilizer and destabilizer are both False.