Research
Page Curve for Local-Operator Entanglement from Free Probability
feeds.aps.org · By Neil Dowling & Silvia Pappalardi ·
The 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.
Who’s affected
- quantum physicists studying many-body chaos and operator dynamics
- researchers working on quantum simulation and classical simulability
- #quantum chaos
- #operator entanglement
- #free probability
- #many-body physics
- #page curve
Author(s): Neil Dowling and Silvia Pappalardi The local-operator entanglement (LOE) measures the classical simulability of a Heisenberg operator and is conjectured to witness many-body chaos in locally interacting systems. Using tools from free probability, we analytically…