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Henrik Wilming

@arrr.de

325 followers 570 following 89 posts

I like science (quantum physics) and nice people.

Henrik Wilming @arrr.de · 07/08/2025

Small paper w/ @lvanluijk.bsky.social and @stotti-alex.bsky.social: We revisit the amazing operator inequality by Lin et al. (arXiv:2211.13372), which implies strong sub-additivity of entropy and find that it's a special case of Connes' theory of spatial derivatives: arxiv.org/abs/2508.03731

$An inequality between density operators: \rho_A \otimes \sigma_{BC}^{-1} \geq \rho_{AB} \otimes \sigma_C^{-1}$

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Henrik Wilming @arrr.de · 02/06/2025

Warmest congratulations! It’s a great paper. Also nice that it seems we will be in the same volume 😀

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Henrik Wilming @arrr.de · 07/03/2025

In many-body systems in the thermodynamic limit, if the subsystems are infinite, these entanglement properties do not change if we change the subsystems in a finite manner or act with quantum channels on finite subsystems. Hence, they classify the large-scale properties of entanglement. (8/n)

Illustration of a subsystem of a many-body system changing by a finite number of degrees of freedom.

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Henrik Wilming @arrr.de · 07/03/2025

Von Neumann algebras come in different types I, II, and III and subtypes. Over the last years we have shown that the subtypes are in 1-1 relation to operational entanglement properties, see also arxiv.org/abs/2409.17739 and this year's QIP talk: www.youtube.com/watch?v=U70p... (7/n)

Table summarizing how entanglement properties of bipartite quantum systems relate to the types and subtypes of von Neumann algebras describing the subsystems.

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Henrik Wilming @arrr.de · 16/01/2025

Such a simple, but beautiful and profound effect. If you consider points with fixed angular velocity on the plane instead of pendula you get the titlepage of my PhD thesis 🙂

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