Probability of measuring |0>.
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Hardware-constrained learning for quantum computing and artificial intelligence
Simulation studio
Control polar and azimuthal angles, apply common single-qubit gates, and watch the qubit move through the Bloch sphere coordinate system.
This lab turns the single-qubit state into a geometric object so learners can connect amplitudes, phases, and measurement probabilities to a visible orientation in space.
|psi> = cos(theta/2)|0> + e^{i phi} sin(theta/2)|1>
Subject context
Explore state geometry, superposition, interference, tunneling, entanglement, and measurement collapse through visual-first interactive labs.
Live lab
These academy-style labs are designed as compact, browser-playable teaching surfaces: enough interaction to make the core idea legible, without pretending to be a full research workbench.
Interactive academy lab
Prepare a qubit from polar and azimuthal angles, then apply common single-qubit gates and watch its Bloch coordinates update.
Controls
Outputs
Probability of measuring |0>.
Probability of measuring |1>.
Relative phase of the |1> amplitude.
|psi> = (0.87 + 0.00i)|0> + (0.45 + 0.21i)|1>
What this teaches
This lab turns the single-qubit state into a geometric object so learners can connect amplitudes, phases, and measurement probabilities to a visible orientation in space.
Control polar and azimuthal angles, apply common single-qubit gates, and watch the qubit move through the Bloch sphere coordinate system.
Keep exploring