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RVGate

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

Bases: qiskit.circuit.gate.Gate

Rotation around arbitrary rotation axis \(v\) where \(|v|\) is angle of rotation in radians.

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

Circuit symbol:

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

Matrix Representation:

\[\begin{split}\newcommand{\th}{|\vec{v}|} \newcommand{\sinc}{\text{sinc}} R(\vec{v}) = e^{-i \vec{v}\cdot\vec{\sigma}} = \begin{pmatrix} \cos{\th} -i v_z \sinc(\th) & -(i v_x + v_y) \sinc(\th) \\ -(i v_x - v_y) \sinc(\th) & \cos(\th) + i v_z \sinc(\th) \end{pmatrix}\end{split}\]

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

Invert this gate.

to_matrix

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

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.