Do I need to install anything?

No. It runs in any modern browser, free, with no account required.

For K-12 Students · Qubit Playground

Qubit Playground for planetary motion

Built for k-12 students learning it in middle or high school. Watch the idea come alive with plain-language steps and everyday examples — perfect for projects and homework. Simulate planetary motion live below — adjust the inputs and watch it respond, right in your browser.

Bloch Sphere

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Bloch SphereLive

the state of a qubit

Controls

Presets

Polar angle θ (°)

Azimuth φ (°)

Every pure state of a single qubit is a point on the Bloch sphere. The north pole is |0⟩, the south |1⟩, and the equator holds equal superpositions differing only in phase φ. Quantum gates rotate this arrow — the geometric picture behind all single-qubit quantum computing.

▶ Run in Python

Data Inspector

P(|0⟩)0.750

P(|1⟩)0.250

Amplitude α0.866

Amplitude β0.50∠45°

Governing equation

∣ ψ ⟩ = cos \frac{θ}{2} ∣0 ⟩ + e^{i ϕ} sin \frac{θ}{2} ∣1 ⟩ = 0.87 ∣0 ⟩ + e^{i (4 5^{\circ})} 0.50 ∣1 ⟩

Reading this result: Polar angle θ sets the measurement odds: P(|0⟩)=cos²(θ/2)=0.75, so tilting toward a pole biases the qubit while φ only twists its phase.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

↓

Stern Gerlach

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Stern-Gerlach ExperimentLive

spin measurement & projection

Controls

Presets

Analyzer angle θ (°)

Speed1×

Atoms prepared spin-up are measured along an axis tilted by θ. Quantum mechanics says each atom randomly comes out up or down, with probability cos²(θ/2) for up — never a fraction. At 90° it is a perfect coin flip; at 180° it always flips. The running tally converges to the Born-rule probability.

▶ Run in Python

Data Inspector

P(up) theory0.750

Measured up0.0%

Atoms1

Governing equation

P (↑) = cos^{2} \frac{θ}{2} = 0.750, P (↓) = sin^{2} \frac{θ}{2} = 0.250, θ = 6 0^{\circ}

Reading this result: Tilted by 60°, the analyzer still favors up: theory predicts P(up) = cos²(θ/2) ≈ 0.75, and the tally converges there.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

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Frequently asked questions

Is this good for k-12 students?: Yes — this version of "Qubit Playground for planetary motion" is framed for k-12 students learning it in middle or high school. Watch the idea come alive with plain-language steps and everyday examples — perfect for projects and homework.
Do I need to install anything?: No. It runs in any modern browser, free, with no account required.