UGate

class UGate(theta, phi, lam, label=None)

기반 클래스: qiskit.circuit.gate.Gate

Generic single-qubit rotation gate with 3 Euler angles.

Implemented using two X90 pulses on IBM Quantum systems:

\[U(\theta, \phi, \lambda) = RZ(\phi) RX(-\pi/2) RZ(\theta) RX(\pi/2) RZ(\lambda)\]

Equivalent simplified form:

\[U(\theta, \phi, \lambda) = RZ(\phi + \pi/2) RX(\theta) RZ(\lambda - \pi/2)\]

Circuit symbol:

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

Matrix Representation:

\[ \begin{align}\begin{aligned}\newcommand{\th}{\frac{\theta}{2}}\\\begin{split}U(\theta, \phi, \lambda) = \begin{pmatrix} \cos\left(\th\right) & -e^{i\lambda}\sin\left(\th\right) \\ e^{i\phi}\sin\left(\th\right) & e^{i(\phi+\lambda)}\cos\left(\th\right) \end{pmatrix}\end{split}\end{aligned}\end{align} \]

Examples:

\[U\left(\theta, -\frac{\pi}{2}, \frac{\pi}{2}\right) = RX(\theta)\]

\[U(\theta, 0, 0) = RY(\theta)\]

Create new U gate.

Methods Defined Here

control	Return a (multi-)controlled-U gate.
inverse	Return inverted U gate.

Attributes

condition_bits

Get Clbits in condition.

반환 형식

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

반환 형식

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.