Classification of bipartite observables III: simplicity, mixtures and quantum error correction
The paper explores a deep link between simple theories, like those of random graphs, and quantum error correction structures, specifically the Pauli group. It shows that these two paradigms are dual when considering bipartite observables. Mixing preparations introduces a 'tree property' in real-valued logic for both systems, but the way this property is witnessed differs based on whether you are looking at Pauli or Rado observables.