4. Quantum Error Correction

Stabilizer Formalism — Quiz

Test your understanding of stabilizer formalism with 5 practice questions.

Practice Questions

Question 1

Which two-qubit gate is essential for extracting the syndrome of a Z-type stabilizer generator using an ancilla qubit?

Question 2

For a stabilizer code encoding k logical qubits, how many independent logical Pauli operators (X and Z) exist (excluding global phase)?

Question 3

When measuring a Z-type stabilizer generator with an ancilla qubit, in which basis should the ancilla be measured?

Question 4

Which operator projects onto the +1 eigenspace of a single stabilizer generator S_i?

Question 5

Consider the stabilizer generator S = X_1 Z_2 X_3. If a Z error occurs on qubit 1 before measurement, what is the expected measurement outcome of S?