Applied Linear Algebra – Quantum Gates in Action
Step 1: Initialize the System
Select the first element of the vector to initialize the system to the |00⟩ state. Click the Next button to proceed to the following step.

Step 2: Apply Hadamard Gate
Construct the Hadamard gate matrix by selecting each cell to iterate through the available values.

Step 3: Observe State After Hadamard
Observe the circuit diagram and verify the state probabilities after applying the Hadamard gate.

Step 4: Apply CNOT Gate
Apply the CNOT gate by identifying and selecting the two basis states that will exchange amplitudes as a result of this operation.

Step 5: Observe Entangled State
Observe the circuit diagram and verify the state probabilities after applying the CNOT gate to create the Bell state.

Step 6: Statistical Measurement
Click 100 Trials to generate a statistical representation of the expected measurement outcomes.

Observe the circuit diagram and state probabilities in the measurement results.

Step 7: Final Measurement
Perform a final measurement to collapse the quantum state and verify the predicted outcomes.
