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IBM Quantum Platform
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RGate

class RGate(theta, phi)

GitHub

Bases: qiskit.circuit.gate.Gate

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

Circuit symbol:

     ┌──────┐
q_0:R(ϴ)
     └──────┘

Matrix Representation:

R(θ,ϕ)=eith(cosϕx+sinϕy)=(costhieiϕsinthieiϕsinthcosth)\providecommand{\th}{\frac{\theta}{2}}\\\begin{split}R(\theta, \phi) = e^{-i \th (\cos{\phi} x + \sin{\phi} y)} = \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)


Attributes

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

params

return instruction params.

unit

Get the time unit of duration.

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