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45 min
Two-Qubit Bell-State Lab
Build a Bell state from H and CNOT, then test why it cannot be factored into independent qubit states.
Investigation
Derive the state after each gate and attempt a separable factorization; explain where the attempt fails.
Learning evidence
A two-column derivation showing circuit step and state after that step.
Two-Qubit Bell-State Lab
Ideal state-vector simulation in your browser, not a quantum-hardware run. Basis labels display q0 as the most-significant bit.
State amplitudes
|00>0.707
|01>0
|10>0
|11>0.707
Outcomes agree in both Z and X bases, while either qubit alone remains 50/50. Correlation does not enable signaling.
Measurement probabilities
|00>50.0%
|01>0.0%
|10>0.0%
|11>50.0%
Complete the required interaction before marking this lab complete.
Completion checks
- Uses tensor-product basis order consistently.
- Shows the failed factorization.
- Explains correlated measurements without faster-than-light signaling.