U1Gate

class U1Gate(theta, label=None)

Bases: qiskit.circuit.gate.Gate

Single-qubit rotation about the Z axis.

This is a diagonal gate. It can be implemented virtually in hardware via framechanges (i.e. at zero error and duration).

Circuit symbol:

     ┌───────┐
q_0: ┤ U1(λ) ├
     └───────┘

Matrix Representation:

\begin{split}U1(\lambda) = \begin{pmatrix} 1 & 0 \\ 0 & e^{i\lambda} \end{pmatrix}\end{split}

Examples:

$U1(\lambda = \pi) = Z$ $U1(\lambda = \pi/2) = S$ $U1(\lambda = \pi/4) = T$

Methods Defined Here

U1Gate.control(num_ctrl_qubits=1, label=None, ctrl_state=None)

Return a (multi-)controlled-U1 gate.

Parameters

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.

Returns

controlled version of this gate.

Return type

ControlledGate

U1Gate.inverse()

Return inverted U1 gate ( $U1(\lambda){\dagger} = U1(-\lambda)$ )

Get the decompositions of the instruction from the SessionEquivalenceLibrary.

Return definition in terms of other basic gates.

Get the duration.

Return instruction label

Return type

str

return instruction params.

Get the time unit of duration.

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