UGate¶
- class UGate(theta, phi, lam, label=None)[소스]¶
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
Return a (multi-)controlled-U gate.
Return inverted U gate.
Attributes
- 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.