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:

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

See also

RZGate : This gate is equivalent to RZ up to a phase factor.

$U1(\lambda) = e^{i{\lambda}/2} RZ(\lambda)$

U3Gate : U3 is a generalization of U2 that covers all single-qubit rotations, using two X90 pulses.

Reference for virtual Z gate implementation: 1612.00858

Create new U1 gate.

Methods Defined Here

control

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

inverse

U1Gate.inverse()

U1(\lambda){\dagger} = U1(-\lambda)

Attributes

condition_bits

Get Clbits in condition.

Return type

List [Clbit]

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

Return type

str

params

return instruction params.

unit

Get the time unit of duration.

Was this page helpful?

Report a bug or request content on GitHub.