HomeQuantum PhysicsQuantum Shot Statistics: Bloch-Circle Estimator

Quantum Shot Statistics: Bloch-Circle Estimator

Interactive 2D simulator of quantum-cloud (QaaS) shot statistics: a state vector on a 2D Bloch great circle, live falling-shot animation into two bins, and a convergence chart showing the sample estimate settle on the Born-rule probability as the standard error shrinks like 1/sqrt(N).

Quantum Physics2DModerate60 FPS📱 Mobile-adapted⇄ 3D version
2d-qe-topic-53 ↗ Open standalone

Quantum-cloud services (QaaS) never hand back a qubit's exact quantum state — they bill you per repeated "shot" and let you estimate it statistically. This 2D simulator draws the qubit's state as a vector on a Bloch great circle, launches simulated measurement shots as falling balls that land in one of two outcome bins, and plots a running estimate curve that converges on the true Born-rule probability. A readout-error slider shows how real hardware noise biases that convergence, and the accruing shot cost mirrors how a real quantum-cloud bill grows with statistical precision.

⚙ Under the hood

Interactive 2D simulator of quantum-cloud (QaaS) shot statistics: a qubit's state vector on a 2D Bloch great circle, live falling-shot animation into two outcome bins, and a convergence chart showing the sample estimate settle on the Born-rule probability as the standard error shrinks like 1/sqrt(N).

quantum computingqubitBorn rulestatisticsmeasurementquantum cloudBloch sphere

2D · HTML5 Canvas 2D · 60 FPS target · runs fully client-side, no install

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