I am familiar with traditional coding theory. And I do realize that the error mechanisms in quantum processes are different.
The question What does quantum error correction code notation stand for? and its answers are helpful. However I have the queries below:
- Are $[[n,k,d]]$ quantum codes linear? In another question, someone told the OP to look up codetables.de which has a listing of classical linear codes. The suggestion was, find $[n,k,d]$ related information there and use it for quantum codes.
- Are quantum error correction codes always systematic? I would guess so. Or in other words, do we always need to know what are the "data qubits" and what are "check qubits"?
- What's a good tutorial introduction to quantum error correction, for someone with extensive classical error correction background, both in algebraic coding theory and information theory?