quantum gate directory
Identity
Symbol
$I$
Qubits: $n$
hermitian
Description:
Leaves the quantum state unchanged.
Alternate notations:
- $I$
- $I_n$
- $1_n$
- $\mathbb{1}$
- $\mathrm{Id}$
SDK Support
| SDK | Name |
|---|---|
| Qiskit |
qiskit.circuit.library.IGate
|
| PennyLane |
pennylane.Identity
|
| Cirq |
cirq.I
ⓘ
|
| Q# |
Std.Intrinsic.I
|
| PyQuil |
pyquil.gates.I
|
| Braket |
braket.circuits.gates.I
|
| BQSKit |
bqskit.ir.gates.IdentityGate
|
| Qibo |
qibo.gates.I
ⓘ
|
| pytket |
pytket.circuit.OpType.noop
ⓘ
|
| Stim |
I
|
| OpenQASM |
stdgates.inc: id
ⓘ
|
Groups
This gate is contained in the following groups:
The identity gate $I_n$ acts on $n$ qubits and leaves all basis states unchanged.
$$ I_2 = \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix} $$
Properties
- Identity element of the unitary group; it commutes with all gates.
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