XGate¶

class XGate(label=None)[source]¶

Bases: Gate

The single-qubit Pauli-X gate (\(\sigma_x\)).

Can be applied to a QuantumCircuit with the x() method.

Matrix Representation:

\[\begin{split}X = \begin{pmatrix} 0 & 1 \\ 1 & 0 \end{pmatrix}\end{split}\]

Circuit symbol:

     ┌───┐
q_0: ┤ X ├
     └───┘

Equivalent to a \(\pi\) radian rotation about the X axis.

Note

A global phase difference exists between the definitions of \(RX(\pi)\) and \(X\).

\[\begin{split}RX(\pi) = \begin{pmatrix} 0 & -i \\ -i & 0 \end{pmatrix} = -i X\end{split}\]

The gate is equivalent to a classical bit flip.

\[\begin{split}|0\rangle \rightarrow |1\rangle \\ |1\rangle \rightarrow |0\rangle\end{split}\]

Create new X gate.

Methods Defined Here

`control`	Return a (multi-)controlled-X gate.
`inverse`	Return inverted X gate (itself).

Attributes

decompositions¶: Get the decompositions of the instruction from the SessionEquivalenceLibrary.