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 1

Step 2: Apply Hadamard Gate

Construct the Hadamard gate matrix by selecting each cell to iterate through the available values.

Step 2

Step 3: Observe State After Hadamard

Observe the circuit diagram and verify the state probabilities after applying the Hadamard gate.

Step 3

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 4

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 5

Step 6: Statistical Measurement

Click 100 Trials to generate a statistical representation of the expected measurement outcomes.

Step 6

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

Step 7

Step 7: Final Measurement

Perform a final measurement to collapse the quantum state and verify the predicted outcomes.

Step 8