Statistical mechanics of quantum error correcting codes
Yaodong Li, Matthew P. A. Fisher · Physical review. B./Physical review. B · 2021
Random quantum dynamics generates quantum error correcting codes that are robust against observers and errors. Here, the authors describe a simple physical picture of such codes, mapping characteristic code properties to the statistical mechanics of fluctuating ``entanglement domain walls''. The error correcting criterion is understood as a decoupling condition of domain walls, which leads to a universal scaling law of the ``code distance''.