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# RXGate

class RXGate(theta, label=None)

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Bases: qiskit.circuit.gate.Gate

Single-qubit rotation about the X axis.

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

Circuit symbol:

┌───────┐
q_0:Rx(ϴ)
└───────┘

Matrix Representation:

$\providecommand{\th}{\frac{\theta}{2}}\\\begin{split}RX(\theta) = \exp\left(-i \th X\right) = \begin{pmatrix} \cos{\th} & -i\sin{\th} \\ -i\sin{\th} & \cos{\th} \end{pmatrix}\end{split}$

Create new RX gate.

## Methods Defined Here

### control

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

Return a (multi-)controlled-RX 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

### inverse

RXGate.inverse()

Return inverted RX gate.

$RX(\lambda)^{\dagger} = RX(-\lambda)$

### power

RXGate.power(exponent)

Raise gate to a power.

## Attributes

### condition_bits

Get Clbits in condition.

Return type

List[Clbit]

### decompositions

Get the decompositions of the instruction from the SessionEquivalenceLibrary.

### definition

Return definition in terms of other basic gates.

### duration

Get the duration.

### label

Return instruction label

Return type

str

Return the name.

### num_clbits

Return the number of clbits.

### num_qubits

Return the number of qubits.

### params

return instruction params.

### unit

Get the time unit of duration.