XGate

class XGate(label=None)

Bases: qiskit.circuit.gate.Gate

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

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

XGate.control(num_ctrl_qubits=1, label=None, ctrl_state=None)

Return a (multi-)controlled-X gate.

One control returns a CX gate. Two controls returns a CCX gate.

Parameters

num_ctrl_qubits (int) – number of control qubits.
label (str or None) – An optional label for the gate [Default: None]
ctrl_state (int or str or None) – control state expressed as integer, string (e.g. ‘110’), or None. If None, use all 1s.

Returns

controlled version of this gate.

Return type

ControlledGate

XGate.inverse()

Return inverted X gate (itself).

Get the decompositions of the instruction from the SessionEquivalenceLibrary.

Return definition in terms of other basic gates.

Get the duration.

Return instruction label

Return type

str

return instruction params.

Get the time unit of duration.

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