quantum gate directory
Identity
Symbol
$I$
Description:
Leaves the quantum state unchanged.
Alternate notations:
- $I$
- $I_n$
- $1_n$
- $\mathbb{1}$
- $\mathrm{Id}$
The identity gate $I_n$ acts on $n$ qubits and leaves all basis states unchanged.
| Matrix | $\begin{bmatrix}1 & 0 \\ 0 & 1 \end{bmatrix}$ |
| Arity | n |
| Group | $\mathsf{U}(2^n)$ |
Properties
- Identity element of the unitary group; it commutes with all gates.
Groups
This gate is contained in the following groups:
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