UGate#
- class qiskit.circuit.library.UGate(theta, phi, lam, label=None)[source]#
Bases:
GateGeneric single-qubit rotation gate with 3 Euler angles.
Can be applied to a
QuantumCircuitwith theu()method.Circuit symbol:
┌──────────┐ q_0: ┤ U(ϴ,φ,λ) ├ └──────────┘Matrix Representation:
\[ \begin{align}\begin{aligned}\newcommand{\th}{\frac{\theta}{2}}\\\begin{split}U(\theta, \phi, \lambda) = \begin{pmatrix} \cos\left(\th\right) & -e^{i\lambda}\sin\left(\th\right) \\ e^{i\phi}\sin\left(\th\right) & e^{i(\phi+\lambda)}\cos\left(\th\right) \end{pmatrix}\end{split}\end{aligned}\end{align} \]Note
The matrix representation shown here is the same as in the OpenQASM 3.0 specification, which differs from the OpenQASM 2.0 specification by a global phase of \(e^{i(\phi+\lambda)/2}\).
Examples:
\[U\left(\theta, -\frac{\pi}{2}, \frac{\pi}{2}\right) = RX(\theta)\]\[U(\theta, 0, 0) = RY(\theta)\]Create new U 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.
Methods