Skip to main contentIBM Quantum Documentation
This page is from an old version of Qiskit SDK. Go to the latest version.

RGate

class RGate(theta, phi, label=None)

GitHub

Bases: qiskit.circuit.gate.Gate

Rotation θ around the cos(φ)x + sin(φ)y axis.

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

Circuit symbol:

     ┌──────┐
q_0:R(ϴ)
     └──────┘

Matrix Representation:

R(θ,ϕ)=eiθ2(cosϕx+sinϕy)=(cosθ2ieiϕsinθ2ieiϕsinθ2cosθ2)\providecommand{\th}{\frac{\theta}{2}}\\\begin{split}R(\theta, \phi) = e^{-i \th \left(\cos{\phi} x + \sin{\phi} y\right)} = \begin{pmatrix} \cos{\th} & -i e^{-i \phi} \sin{\th} \\ -i e^{i \phi} \sin{\th} & \cos{\th} \end{pmatrix}\end{split}

Create new r single-qubit gate.


Methods Defined Here

inverse

RGate.inverse()

Invert this gate.

r(θ, φ)^dagger = r(-θ, φ)

power

RGate.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.

Was this page helpful?
Report a bug or request content on GitHub.