U1Gate¶

class
U1Gate
(theta, label=None)[source]¶ Bases:
qiskit.circuit.gate.Gate
Singlequbit 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 singlequbit rotations, using two X90 pulses.Reference for virtual Z gate implementation: 1612.00858
Create new U1 gate.
Methods Defined Here
Return a (multi)controlledU1 gate.
Return inverted U1 gate (\(U1(\lambda){\dagger} = U1(\lambda)\))
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
 Return type
str

params
¶ return instruction params.

unit
¶ Get the time unit of duration.
