← All labs
40 min
Single-Qubit Gate Lab
Compose single-qubit gates as matrices and predict the resulting state before drawing the circuit.
Investigation
Compute HZH|0> and XH|0>, then identify which differences are measurable in the Z basis.
Learning evidence
Matrix steps, final states, and Z-basis probabilities.
Single-Qubit Gate Lab
Ideal state-vector simulation in your browser, not a quantum-hardware run. Basis labels display q0 as the most-significant bit.
Application order
I
State amplitudes
|0>1
|1>0
Measurement probabilities
|0>100.0%
|1>0.0%
Complete the required interaction before marking this lab complete.
Completion checks
- Matrix multiplication order is correct.
- Final state is normalized.
- Probabilities follow the final state.
