Quantum Superposition Calculator
Calculate quantum superposition states, interference effects, coherence, and phase relationships.
Inputs
rad
Results
State 1 Probability
50%
State 2 Probability
50%
Superposition Magnitude
1.414
Interference Term
1
Coherence0.5
Visibility1
How to Use This Calculator
- Enter State 1 Amplitude and State 2 Amplitude (each 0–1). They satisfy α₁² + α₂² = 1 for a normalized superposition.
- Set Phase Difference (rad): 0 gives constructive interference, π gives destructive interference.
- Read Interference Term to see how the phase relationship amplifies or cancels the combined wavefunction.
- Visibility (0–1) indicates how strong the interference pattern is — 1 is perfect contrast, 0 is no fringe.
- Coherence (0–1) measures how quantum the superposition is; values near 0 indicate decoherence has occurred.
How the result changes with State 1 Amplitude
| State 1 Amplitude | State 1 Probability | State 2 Probability | Superposition Magnitude |
|---|---|---|---|
| 0.1 | 1.96% | 98.04% | 1.13 |
| 0.35 | 19.68% | 80.32% | 1.34 |
| 0.65 | 45.81% | 54.19% | 1.413 |
| 0.9 | 61.84% | 38.16% | 1.404 |
What each input means
- State 1 Amplitude
- Amplitude for first state
- State 2 Amplitude
- Amplitude for second state
- Phase Difference
- Phase difference between states
How this is calculated
Formula
|ψ⟩ = α|0⟩ + βe^(iφ)|1⟩Worked example, using the default values
- Identify Input ParametersState 1 Amplitude = 0.707, State 2 Amplitude = 0.707, Phase Difference = 0 = 3 input(s) provided
- Calculate State 1 ProbabilityState 1 Probability50 = 50%
- Calculate State 2 ProbabilityState 2 Probability50 = 50%
- Calculate Superposition MagnitudeSuperposition Magnitude1.414 = 1.414
- Calculate CoherenceCoherence0.5 = 0.5
- Calculate VisibilityVisibility1 = 1
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