Suppose I have a quantum error correcting code with two stabilizers. Does this mean that I can potentially correct at most 3 distinct errors using this code?
My reasoning is that for each error, we need a syndrome. With only two stabilizers, we have the syndromes $(00, 01, 10, 11)$. The first one is the case of no error so that leaves three more errors.
In general, does the number of stabilizer elements bound the number of correctable errors?