# Page Curve for Local-Operator Entanglement from Free Probability

Source: [feeds.aps.org](http://link.aps.org/doi/10.1103/ynk4-sj21) · 2026-11-10 · Physics
Page: https://themorning.science/story/page-curve-for-local-operator-entanglement-from-free-probability-a733a1213079ddc5
Kind: research · Impact: low

## In brief

- Paper by Neil Dowling and Silvia Pappalardi, published in an APS journal, studies local-operator entanglement (LOE).
- LOE measures the classical simulability of a Heisenberg operator and is conjectured to witness many-body chaos in locally interacting systems.
- The authors use tools from free probability to analytically derive the behaviour of LOE, producing a Page curve.

## Why it matters

It offers an analytical framework for diagnosing many-body chaos through operator entanglement, which could help physicists judge when quantum many-body dynamics can be classically simulated.

## Timeline

- 2026-11-10: Paper published by APS feed (Page Curve for Local-Operator Entanglement from Free Probability)

## Coverage

- [Page Curve for Local-Operator Entanglement from Free Probability](http://link.aps.org/doi/10.1103/ynk4-sj21) — feeds.aps.org, 2026-11-10

Tags: quantum chaos, operator entanglement, free probability, many-body physics, page curve

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