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RVGate

class RVGate(v_x, v_y, v_z, basis='U')

GitHub

Bases: qiskit.circuit.gate.Gate

Rotation around arbitrary rotation axis vv where v|v| is angle of rotation in radians.

Circuit symbol:

     ┌─────────────────┐
q_0:RV(v_x,v_y,v_z)
     └─────────────────┘

Matrix Representation:

R(v)=eivσ=(cosvivzsinc(v)(ivx+vy)sinc(v)(ivxvy)sinc(v)cos(v)+ivzsinc(v))\begin{split}\providecommand{\th}{|\vec{v}|} \providecommand{\sinc}{\text{sinc}} R(\vec{v}) = e^{-i \vec{v}\cdot\vec{\sigma}} = \begin{pmatrix} \cos{\th} -i v_z \sinc(\th) & -(i v_x + v_y) \sinc(\th) \\ -(i v_x - v_y) \sinc(\th) & \cos(\th) + i v_z \sinc(\th) \end{pmatrix}\end{split}

Create new rv single-qubit gate.

Parameters

  • v_x (float) – x-component
  • v_y (float) – y-component
  • v_z (float) – z-component
  • basis (str, optional) – basis (see OneQubitEulerDecomposer)

Methods Defined Here

inverse

RVGate.inverse()

Invert this gate.

to_matrix

RVGate.to_matrix()

Return a numpy.array for the R(v) gate.


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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