ZGate

class ZGate(label=None)

The single-qubit Pauli-Z gate (\(\sigma_z\)).

Matrix Representation:

\[\begin{split}Z = \begin{pmatrix} 1 & 0 \\ 0 & -1 \end{pmatrix}\end{split}\]

Circuit symbol:

     ┌───┐
q_0: ┤ Z ├
     └───┘

Equivalent to a \(\pi\) radian rotation about the Z axis.

Note

A global phase difference exists between the definitions of \(RZ(\pi)\) and \(Z\).

\[\begin{split}RZ(\pi) = \begin{pmatrix} -1 & 0 \\ 0 & 1 \end{pmatrix} = -Z\end{split}\]

The gate is equivalent to a phase flip.

\[\begin{split}|0\rangle \rightarrow |0\rangle \\ |1\rangle \rightarrow -|1\rangle\end{split}\]

Create new Z gate.

Attributes

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

Methods

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