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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…

Timeline

  1. Paper published by APS feed (Page Curve for Local-Operator Entanglement from Free Probability)

  2. feeds.aps.org

    Page Curve for Local-Operator Entanglement from Free Probability

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    Page Curve for Local-Operator Entanglement from Free Probability – The Morning Science