UGate#

class qiskit.circuit.library.UGate(theta, phi, lam, label=None)[source]#

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:

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

নোট

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.

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)[source]#

Return a (multi-)controlled-U gate.

প্যারামিটার:
  • 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.

রিটার্নস:

controlled version of this gate.

রিটার্ন টাইপ:

ControlledGate

inverse()[source]#

Return inverted U gate.

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