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If the sequence of states is such that the overlap of[|ϕ⟩ N]with a fixed reference state |ψ⟩∈His bounded from below byδ >0for allN, then the normal part ofϕ, denoted byϕ (n), is no

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hep-th 1

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2026 1

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Type III von Neumann Algebras are Magical

hep-th · 2026-08-12 · reject · novelty 6.0

If lattice states in the thermodynamic limit have bounded magic, the local von Neumann algebra cannot be Type III, so Type III algebras require infinite magic.

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  • Type III von Neumann Algebras are Magical hep-th · 2026-08-12 · reject · none · ref 3

    If lattice states in the thermodynamic limit have bounded magic, the local von Neumann algebra cannot be Type III, so Type III algebras require infinite magic.