Probability of measuring |0> after the sequence.
Simulation studio
Unitary Operations Playground
Build a single-qubit gate sequence, watch the state update after each operation, and compare amplitudes before and after collapse.
The focus is on helping learners internalize how unitary gate composition changes amplitudes and measurement probabilities step by step.
Subject context
Quantum Programming
Practice gate sequencing, small-circuit construction, Qiskit-style code generation, and statevector reasoning in a browser-first environment.
- 3 labs in this subject.
- Difficulty: Intermediate.
- Dedicated route: /simulations/subjects/quantum-programming/unitary-operations-playground.
Live lab
Interactive simulation workspace
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
Unitary Operations Playground
Treat single-qubit programming as gate composition: each button appends a unitary and the state updates immediately.
Controls
H
Outputs
Probability of measuring |1> after the sequence.
Circuit length in gates.
|psi_out> = (0.71 + 0.00i)|0> + (0.71 + 0.00i)|1>
Unitary programming is reversible and amplitude-preserving until you choose to measure.
What this teaches
Core learning frame
The focus is on helping learners internalize how unitary gate composition changes amplitudes and measurement probabilities step by step.
Build a single-qubit gate sequence, watch the state update after each operation, and compare amplitudes before and after collapse.
Keep exploring