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# RVGate¶

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

Bases: 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

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.

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

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.