Rényi Entropy Scaling Transition Detection

This paper addresses the challenge of efficiently characterizing entanglement in quantum systems. It highlights the limitations of using the second Rényi entropy as a direct proxy for the von Neumann entropy, especially in identifying critical behavior. The authors propose a method to detect a Rényi-index-dependent transition in entanglement scaling, which is crucial for understanding the underlying physics of quantum systems. The introduction of a symmetry-aware lower bound on the von Neumann entropy is a significant contribution, providing a practical diagnostic for anomalous entanglement scaling using experimentally accessible data.