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# U3Gate¶

class U3Gate(theta, phi, lam, label=None)[소스]

기반 클래스: Gate

Generic single-qubit rotation gate with 3 Euler angles.

경고

This gate is deprecated. Instead, the following replacements should be used

$U3(\theta, \phi, \lambda) = U(\theta, \phi, \lambda)$
circuit = QuantumCircuit(1)
circuit.u(theta, phi, lambda)


Circuit symbol:

     ┌───────────┐
q_0: ┤ U3(ϴ,φ,λ) ├
└───────────┘


Matrix Representation:

\begin{align}\begin{aligned}\newcommand{\th}{\frac{\theta}{2}}\\\begin{split}U3(\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}

참고

The matrix representation shown here differs from the OpenQASM 2.0 specification by a global phase of $$e^{i(\phi+\lambda)/2}$$.

Examples:

$U3(\theta, \phi, \lambda) = e^{-i \frac{\pi + \theta}{2}} P(\phi + \pi) \sqrt{X} P(\theta + \pi) \sqrt{X} P(\lambda)$
$U3\left(\theta, -\frac{\pi}{2}, \frac{\pi}{2}\right) = RX(\theta)$
$U3(\theta, 0, 0) = RY(\theta)$

Create new U3 gate.

Methods Defined Here

 control Return a (multi-)controlled-U3 gate. inverse Return inverted U3 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.