Bloch Sphere

Interactive Quantum State Visualizer

Current State

$$ |\psi\rangle = 1|0\rangle + 0|1\rangle $$
Prob(0)100%
Prob(1)0%
Global Phase Removed: 0 rad

Set Coefficients(Auto-Normalizes)

|0⟩
|1⟩

Parameters

0.00 π
Manual input:π
|0⟩Superposition|1⟩
0.00 π
Manual input:π
0π2π

Apply Gates

Visualization

Use mouse to rotate/zoom the sphere.

Sub-functions

Magnitude |0⟩: cos(θ/2) = cos(0.00π/2)

Controls the magnitude of |0⟩ (North).

Magnitude |1⟩: sin(θ/2) = sin(0.00π/2)

Controls the magnitude of |1⟩ (South).

Phase: e^(iφ) = e^(i0.00π)

Rotates the vector around the Z-axis.