quantum gate directory
Pauli-Z Gate
Symbol
$Z$
Description:
The Pauli-Z gate is known as a phase flip, leaving $|0\rangle$ unchanged and sending $|1\rangle \to -|1\rangle$.
| Notation(s) | $Z$, $\sigma_z$, $\sigma_3$ |
| Matrix | $\begin{bmatrix}1 & 0 \\ 0 & -1 \end{bmatrix}$ |
| Arity | 1 |
| Group | $\mathsf{U}(2)$ |
Groups
This gate is contained in the following groups:
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