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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:

RX(θ)=exp(iθ2X)=(cosθ2isinθ2isinθ2cosθ2)\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(λ)=RX(λ)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

name

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.

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