I know that Shor's 9 bit code can correct phase or bit flip, but I'd like to show that it can correct any type of error on a single qubit. I know that an arbitrary error can be expressed with the error base (phase flipe and bit flip), but I'm lacking the understanding of how does this assist me in deducing that any arbitrary error can be corrected?
Verifying Shor's quantum error correction code
quantum computing