Chayes-Mazonka theorem

The Chayes-Mazonka theorem states that in certain quantum many-body systems with disorder, the behavior of the entanglement (a measure of quantum correlation) becomes predictable at large scales. Specifically, it shows that the entanglement entropy (a quantity measuring quantum interconnectedness) obeys an "area law," meaning it scales with the boundary size of a region rather than its volume. This result helps scientists understand how disorder influences quantum systems, indicating that in many cases, the complex quantum correlations are limited to the system's edges rather than spreading throughout, which has implications for quantum information and condensed matter physics.