3D Quantum Visualizer
Interactive 3D Bloch Sphere Explorer
The Bloch Sphere is the geometrical representation of pure 2-level quantum state space (qubit). Drag with your mouse or touch to rotate the 3D camera, adjust angles θ and φ, or inspect entangled mixed states.
Qubit 0 Bloch SpherePure State
|0⟩ (+Z)
|1⟩ (-Z)
|+⟩ (+X)
X / Y / Z(1, 0, 0)
θ (Polar)90.0°
φ (Azimuth)0.0°
Standard Basis Presets
State Parameters (θ, φ)
θ (Polar Angle from +Z):90.0° (1.57 rad)
φ (Azimuthal Angle in XY plane):0.0° (0.00 rad)
P(|0⟩) = cos²(θ/2)50.0%
P(|1⟩) = sin²(θ/2)50.0%
Bloch Sphere Formulation:
|ψ⟩ = cos(θ/2)|0⟩ + e^(iφ) sin(θ/2)|1⟩
The north pole is 0, the south pole is 1. Any other point on the globe is a unique mixture of both, with the longitude representing the phase angle!