Quantum Superposition Calculator

Calculate quantum superposition states, interference effects, coherence, and phase relationships.

State 1 Amplitude

State 2 Amplitude

Phase Difference

rad

State 1 Probability

50%

State 2 Probability

50%

Superposition Magnitude

1.414

Interference Term

Coherence0.5

Visibility1

State 1 Probability

50%

State 2 Probability

50%

Superposition Magnitude

1.414

Interference Term

How to Use This Calculator

Start by filling in the input fields below. Results update instantly as you type, so you can experiment with different values to see how they affect the outcome.
State 1 Amplitude — Amplitude for first state Accepts values from 0 to 1 (default: 0.707).
State 2 Amplitude — Amplitude for second state Accepts values from 0 to 1 (default: 0.707).
Phase Difference — Phase difference between states Accepts values from 0 rad to 6.283185307179586 rad (default: 0 rad).
Once all inputs are set, review your results in the Results panel. Here's what each output means:
State 1 Probability — shown as a percentage. This is the primary result of this calculator.
State 2 Probability — shown as a percentage. This is the primary result of this calculator.
Superposition Magnitude — shown as a numeric value. This is the primary result of this calculator.
Interference Term — shown as a numeric value. This is the primary result of this calculator.
Coherence — shown as a numeric value.
Visibility — shown as a numeric value.
Explore the related calculators below if you need deeper analysis or want to approach this topic from a different angle.

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Formula

|ψ⟩ = α|0⟩ + βe^(iφ)|1⟩

Calculate quantum probability amplitudes, Born rule probabilities, phase angles, and normalization.

Calculate quantum entanglement measures including concurrence, von Neumann entropy, tangle, and Bell state fidelity.

Calculate quantum wave function properties including probability density, momentum, energy, and phase/group velocities.

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