U3Gate#

class qiskit.circuit.library.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.

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

control(num_ctrl_qubits=1, label=None, ctrl_state=None)[소스]#

Return a (multi-)controlled-U3 gate.

매개변수:
  • num_ctrl_qubits (int) – number of control qubits.

  • label (str or None) – An optional label for the gate [Default: None]

  • ctrl_state (int or str or None) – control state expressed as integer, string (e.g. ‘110’), or None. If None, use all 1s.

반환:

controlled version of this gate.

반환 형식:

ControlledGate

inverse()[소스]#

Return inverted U3 gate.

\(U3(\theta,\phi,\lambda)^{\dagger} =U3(-\theta,-\lambda,-\phi)\))