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

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.

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.