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Quantum ComputingAN INTERACTIVE OPEN TEXTBOOK
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The experiment studio

Choose a model, make a prediction, then change one thing at a time. Every experiment runs on your device. Exact probabilities and finite measurement samples are shown separately.

L01 · INTERACTIVE LABRuns on your device

Qubit explorer

A pure qubit is a normalised pair of complex amplitudes. The sphere shows the state; the bars show measurement probabilities in the Z basis.

Make a prediction first

Move the state to the equator. What will happen to the Z-basis probabilities when you change only the phase?

Experiment controls
|0⟩|1⟩xyz|ψ⟩
Exact probability
|0⟩
50.0%
|1⟩
50.0%

Exact ideal-model predictions · run a measurement experiment to compare.

MODEL · Ideal pure-state vector, complex double precisionORDER · q0 is the leftmost bit
Take it further

Create a state with a 75% probability of measuring 1. Can you find two different phases with the same probabilities?

The quantum experiments use small, ideal, complex statevectors with q0 on the left. QFT uses the positive-exponent convention with numeric output order. Phase estimation assumes an exact eigenstate. The BB84 model separately simulates preparation, measurement, intercept–resend and channel bit flips.

These are educational simulations, not hardware execution or a secure communication service. See the model conventions and full experiment roadmap for assumptions and planned tools.