Observation
Random events build a stable pattern
One detection cannot reveal the prepared distribution. As the sample grows, the histogram approaches the teal expected-probability curve.
Interactive quantum laboratory
Quantum Playground — Break Reality
Emit particles one at a time. Every detection is unpredictable, yet repeated trials reveal the probability distribution prepared by the source.
Ready
Single Particle
0 detections
Prepare a probability distribution, emit one event at a time, and watch stable statistics emerge from unpredictable detections.
No observations yet. Emit one event or a batch to begin.
Total detections0
Sample mean0.000
Sample spread0.000
Random modeSeeded
What am I seeing?
The teal curve is calculated from the prepared probability model. Purple marks are sampled observations. Decorative source and motion effects are illustrative.
Detector is ready with zero detections.
Explanation
What is calculated?
Phase 1 samples a normalized Gaussian |ψ(x)|² across a dimensionless detector. It represents a prepared wavepacket, not a claim that the particle follows the animated line.
Show the math
The detector probability is proportional to exp[-(x-μ)²/(2σ²)], then normalized so the discrete probabilities sum to one. Each impact is drawn independently from that distribution.
Visual model: source flash, wavefront, and propagation cues are illustrative—not measured particle trajectories. Sampled detector positions and calculated probabilities come from the numerical model. Apparatus geometry is schematic and not to scale.
Quantum Playground glossary and tooltips
Focus or hover a term for its short definition. Expand this panel to read every definition together.
SuperpositionA state combining alternatives whose complex amplitudes can interfere.
CoherenceA stable phase relationship that permits interference.
DecoherenceSuppression of reduced-state coherence through unobserved correlations.
EntanglementA joint state not factorizable into independent subsystem states.
Bell localityLocal outcomes depend only on the local setting and shared hidden variables.
Measurement independenceSettings do not condition the hidden-variable distribution.
CHSHA four-correlation Bell-test quantity.
No-signalingRemote choices cannot change locally observable probabilities.
Hidden variableAn additional model variable used to specify or influence outcomes.
Born ruleOutcome probabilities are squared quantum projection amplitudes.