Rényi Entropy Scaling Transition Detection
Published:Dec 31, 2025 00:41
•1 min read
•ArXiv
Analysis
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.
Key Takeaways
- •The paper investigates the limitations of using second Rényi entropy as a proxy for von Neumann entropy.
- •It identifies a Rényi-index-dependent transition in entanglement scaling.
- •A symmetry-aware lower bound on the von Neumann entropy is introduced for practical diagnostics.
- •The method allows for the detection of anomalous entanglement scaling from experimental data.
Reference
“The paper introduces a symmetry-aware lower bound on the von Neumann entropy built from charge-resolved second Rényi entropies and the subsystem charge distribution, providing a practical diagnostic for anomalous entanglement scaling.”