4. Quantum Error Correction

Shorcode — Quiz

Test your understanding of shorcode with 5 practice questions.

Practice Questions

Question 1

In a three-qubit bit-flip block of the Shor code, if stabilizer measurements yield $Z_1Z_2=-1$ and $Z_2Z_3=+1$, which qubit has experienced a bit-flip error?

Question 2

A physical qubit in the Shor code undergoes a Pauli $Y$ error. Which combination of bit-flip and phase-flip errors does this correspond to?

Question 3

What is the dimension of the logical code space in the Shor nine-qubit code?

Question 4

During decoding of the Shor code, which error type is corrected first?

Question 5

Which classical decoding rule is used to determine which qubit to correct within each three-qubit bit-flip block?