Quantum Statevector Visualization & Amplitude Simulator
Visualize complex quantum statevectors, probability amplitudes, and phase angles in real time. Simulate multi-qubit superposition and entanglement with Quortup.
Complex Amplitudes Explained
Inspect real and imaginary components of state coefficients c_k across all 2ⁿ basis states simultaneously.
Phase Angle Wheel
Color-coded phase angles from -π to +π show interference effects and destructive phase cancellation visually.
Entanglement Measurement
Test state separability and verify non-local correlations with exact probability distribution calculations.
N = 2 Qubits (4 Basis States):
|ψ⟩ = c₀₀|00⟩ + c₀₁|01⟩ + c₁₀|10⟩ + c₁₁|11⟩
Normalization Constraint:
∑ |c_k|² = |c₀₀|² + |c₀₁|² + |c₁₀|² + |c₁₁|² = 1.000
Bell State Example:
|00⟩: Amplitude = 0.7071 + 0.0000i | Prob = 50.0% | Phase = 0.0°
|01⟩: Amplitude = 0.0000 + 0.0000i | Prob = 0.0% | Phase = 0.0°
|10⟩: Amplitude = 0.0000 + 0.0000i | Prob = 0.0% | Phase = 0.0°
|11⟩: Amplitude = 0.7071 + 0.0000i | Prob = 50.0% | Phase = 0.0°
Frequently Asked Questions
What is the difference between statevector simulation and shot simulation?
Statevector simulation tracks exact mathematical complex amplitudes through matrix multiplication. Shot simulation simulates physical projective measurement by taking statistical samples (e.g. 1024 shots) where each basis state collapses according to its Born rule probability.