Bloch Sphere Qubit Explorer
Quantum gates rotate the Bloch vector. X Y Z are π-rotations. H swaps poles. S T are z-rotations by π/2 and π/4.
X
Y
Z
H
S
T
Reset |0⟩
Clear path
Bloch Sphere
θ =
0.0°
| φ =
0.0°
State:
|0⟩
Measurement Probabilities
P(|0⟩)
1.000
P(|1⟩)
0.000
P(|+⟩)
0.500
P(|−⟩)
0.500
Gate sequence
—
H² = I
: two Hadamards return to start
S² = Z
: two quarter-turns = one half-turn
Z = H·X·H
: H conjugates X to Z
T⁴ = Z
: four T-gates = π rotation