Theory of quantum error correction for general noise

摘要: A measure of quality an error-correcting code is the maximum number errors that it able to correct. We show a suitable notion ''number errors'' e makes sense for any quantum or classical system in presence arbitrary interactions. Thus, -error-correcting codes protect information without requiring usual assumptions independence. prove existence large both and information. By viewing as subsystems, we relate irreducible representations operator algebras noiseless subsystems are infinite-distance codes. (c) 2000 The American Physical Society.