ZGate¶
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class
ZGate(label=None)[source]¶ Bases:
qiskit.circuit.gate.GateThe 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.
Methods Defined Here
Return a (multi-)controlled-Z gate.
Return inverted Z gate (itself).
Attributes
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decompositions¶ Get the decompositions of the instruction from the SessionEquivalenceLibrary.
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definition¶ Return definition in terms of other basic gates.
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duration¶ Get the duration.
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label¶ Return instruction label
- Return type
str
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params¶ return instruction params.
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unit¶ Get the time unit of duration.
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