# RZGate¶

class RZGate(phi, label=None)[source]

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:

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

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

 RZGate.decompositions Get the decompositions of the instruction from the SessionEquivalenceLibrary. RZGate.definition Return definition in terms of other basic gates. RZGate.label Return gate label RZGate.params return instruction params.

Methods

 RZGate.add_decomposition(decomposition) Add a decomposition of the instruction to the SessionEquivalenceLibrary. Assemble a QasmQobjInstruction RZGate.broadcast_arguments(qargs, cargs) Validation and handling of the arguments and its relationship. RZGate.c_if(classical, val) Add classical condition on register classical and value val. RZGate.control([num_ctrl_qubits, label, …]) Return a (mutli-)controlled-RZ gate. RZGate.copy([name]) Copy of the instruction. Return inverted RZ gate Return True .IFF. For a composite instruction, reverse the order of sub-gates. RZGate.power(exponent) Creates a unitary gate as gate^exponent. Return a default OpenQASM string for the instruction. Creates an instruction with gate repeated n amount of times. Return a Numpy.array for the gate unitary matrix.