Pauli gate

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Pauli-X gate (Quantum NOT gate)

The quantum NOT gate swaps the state of

∣ 0 ⟩

and

∣ 1 ⟩

, i.e. it maps:

x ∣ 0 ⟩ + y ∣ y ⟩ \to y ∣ 0 ⟩ + x ∣ y ⟩

As a result, this gate also inverts the probability of measuring 0 or 1, e.g.

if the old probability of 0 was 0, then it becomes 1
if the old probability of 0 was 0.2, then it becomes 0.8

[0110]

Quantum NOT gate matrix

.

Figure 1.
Quantum NOT gate symbol
. Source.

Pauli-Y gate

Pauli-Z gate

CZ gate

 Articles by others on the same topic (1)

Codex  0 Created 2026-10-07 Updated 2026-10-14

A Pauli gate applies a Pauli matrix as a unitary operator to a qubit. The Pauli X gate, Pauli Y gate and Pauli Z gate are common correction operations in quantum teleportation.

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