U2Gate

class U2Gate(phi, lam, label=None)

Bases: qiskit.circuit.gate.Gate

Single-qubit rotation about the X+Z axis.

Implemented using one X90 pulse on IBM Quantum systems:

U2(\phi, \lambda) = RZ(\phi).RY(\frac{\pi}{2}).RZ(\lambda)

Circuit symbol:

     ┌─────────┐
q_0: ┤ U2(φ,λ) ├
     └─────────┘

Matrix Representation:

\begin{split}U2(\phi, \lambda) = \frac{1}{\sqrt{2}} \begin{pmatrix} 1 & -e^{i\lambda} \\ e^{i\phi} & e^{i(\phi+\lambda)} \end{pmatrix}\end{split}

Examples:

U2(0, \pi) = H U2(0, 0) = RY(\pi/2) U2(-\pi/2, \pi/2) = RX(\pi/2)

Methods Defined Here

U2Gate.inverse()

Return inverted U2 gate.

$U2(\phi, \lambda)^{\dagger} =U2(-\lambda-\pi, -\phi+\pi)$ )

Get Clbits in condition.

Return type

List[Clbit]

Get the decompositions of the instruction from the SessionEquivalenceLibrary.

Return definition in terms of other basic gates.

Get the duration.

Return instruction label

Return type

str

Return the name.

Return the number of clbits.

Return the number of qubits.

return instruction params.

Get the time unit of duration.

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