ALGEBRAIC FORMULATION OF QUANTUM ERROR CORRECTION
Cédric Bény, David W. Kribs, Aron Pasieka · International Journal of Quantum Information · 2008
We give a brief introduction to the algebraic formulation of error correction in quantum computing called operator algebra quantum error correction (OAQEC). Then we extend one of the basic results for subsystem codes in operator quantum error correction (OQEC) to the OAQEC setting: Every hybrid classical-quantum code is shown to be unitarily recoverable in an appropriate sense. The algebraic approach of the proof yields a new, less technical proof for the OQEC case.