For K-12 Students · Bloch Sphere
Bloch Sphere for a Zeeman splitting
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 a Zeeman splitting live below — adjust the inputs and watch it respond, right in your browser.
Bloch SphereLive
the state of a qubit
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Presets
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.
Data Inspector
P(|0⟩)0.750
P(|1⟩)0.250
Amplitude α0.866
Amplitude β0.50∠45°
Governing equation
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.
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Frequently asked questions
- Is this good for k-12 students?
- Yes — this version of "Bloch Sphere for a Zeeman splitting" 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.