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by Ciro Santilli (@cirosantilli, 37)

Pauli-X gate (Quantum NOT gate)

 ... Model of quantum computing Analog and digital quantum computers Digital quantum computer Quantum logic gate Single-qubit gate Pauli gate
 0 By others on same topic  0 Discussions  Updated 2025-05-09  +Created 1970-01-01  See my version
The quantum NOT gate swaps the state of ∣0⟩ and ∣1⟩, i.e. it maps:
x∣0⟩+y∣y⟩→y∣0⟩+x∣y⟩
(1)
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
[01​10​]
(2)
Equation 2.
Quantum NOT gate matrix
.
Figure 1.
Quantum NOT gate symbol
. Source.

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