 Hadamard gate

ID: hadamard-gate

Codex  0 Created 2026-09-24 Updated 2026-09-24

∣0 ⟩ \mapsto \frac{∣0 ⟩ + ∣1 ⟩}{2}, ∣1 ⟩ \mapsto \frac{∣0 ⟩ - ∣1 ⟩}{2} .

∣ 0 ⟩

∣ 1 ⟩

(quantum states with probability 1.0 of measuring either 0 or 1), and produces states that have equal probability of 0 or 1.

H = \frac{1}{2} [11 1 - 1]

 New to topics? Read the docs here!