RZGate

class RZGate(phi, 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: ┤ Rz(λ) ├
     └───────┘

Matrix Representation:

\[\begin{split}RZ(\lambda) = exp(-i\frac{\lambda}{2}Z) = \begin{pmatrix} e^{-i\frac{\lambda}{2}} & 0 \\ 0 & e^{i\frac{\lambda}{2}} \end{pmatrix}\end{split}\]

See also

U1Gate This gate is equivalent to U1 up to a phase factor.

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

Reference for virtual Z gate implementation: 1612.00858

Create new RZ gate.

Methods Defined Here

control	Return a (multi-)controlled-RZ gate.
inverse	Return inverted RZ 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

Return type

str

params

return instruction params.

unit

Get the time unit of duration.