Bloch Sphere
A single qubit state α|0⟩ + β|1⟩ maps to a point on this sphere.
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|0⟩ — North pole (Z+)
|1⟩ — South pole (Z−)
|+⟩ — X+ equator
|−⟩ — X− equator
|+i⟩ — Y+ equator
|−i⟩ — Y− equator
|ψ⟩ — current state
Gate:
— select —
X (bit flip)
Y
Z (phase flip)
H (Hadamard)
S (√Z)
T (π/8)
Ry(θ)
Rz(θ)
θ:
π/2
Apply
Reset to |0⟩
State Amplitudes
|0⟩
1.000
|1⟩
0.000
|ψ⟩ = |0⟩
■
probability
■
phase / 2π