Could someone help me with $Problem-10.52$ in Nielsen and Isaac Chuang‘s book?
The screenshot is shown below. I have no idea about that.
Hope someone can give me some suggestions.
By the way, if I want to know whether an operator is fault-tolerant, what should I DO to check it? For example, the $Z$ operator (as shown below) is a fault-tolerant operator in the encoding procedure, or not. I only know the fault-tolerant operator only allows 1-bit error to happen.