U3Gate¶

class U3Gate(theta, phi, lam, label=None)[ソース]¶

ベースクラス: Gate

Generic single-qubit rotation gate with 3 Euler angles.

警告

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:

\[ \begin{align}\begin{aligned}\newcommand{\th}{\frac{\theta}{2}}\\\begin{split}U3(\theta, \phi, \lambda) = \begin{pmatrix} \cos\left(\th\right) & -e^{i\lambda}\sin\left(\th\right) \\ e^{i\phi}\sin\left(\th\right) & e^{i(\phi+\lambda)}\cos\left(\th\right) \end{pmatrix}\end{split}\end{aligned}\end{align} \]

注釈

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.