Spanish
Idiomas
English
Bengali
French
German
Japanese
Korean
Portuguese
Spanish
Tamil

UGate¶

class UGate(theta, phi, lam, label=None)[fuente]

Bases: Gate

Generic single-qubit rotation gate with 3 Euler angles.

Can be applied to a QuantumCircuit with the u() 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}

Nota

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.

Methods Defined Here

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