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30 min
Qubit State Explorer
Map amplitudes and relative phase to a Bloch-sphere picture without treating the picture as the definition.
Investigation
Choose three normalized states, predict Z-basis probabilities, then explain what changes when only relative phase changes.
Learning evidence
A short state table with amplitudes, probabilities, and a one-sentence phase explanation.
Qubit State Explorer
Ideal state-vector simulation in your browser, not a quantum-hardware run. Basis labels display q0 as the most-significant bit.
State amplitudes
|0>0.866
|1>0.354+0.354i
Measurement probabilities
|0>75.0%
|1>25.0%
Bloch coordinates
+zx
x=0.612 y=0.612 z=0.500
Changing only phi leaves Z-basis probabilities unchanged. Interference through H can make the phase observable.
State vector: [0.866, 0.354+0.354i]
Complete the required interaction before marking this lab complete.
Completion checks
- Probabilities sum to 1.
- Global phase is not counted as a distinct physical state.
- Relative phase is tied to later interference.