RZGate#

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

Bases: 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).

Can be applied to a QuantumCircuit with the rz() method.

Circuit symbol:

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

Matrix Representation:

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

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.

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-RZ 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()[source]#

Return inverted RZ gate

\(RZ(\lambda)^{\dagger} = RZ(-\lambda)\)

power(exponent)[source]#

Raise gate to a power.