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(A4) collapse to the univer- sal cross-overlap2 −|A|: by independenceE[Tr(ρ A ψ ρA ϕ )] = Tr((¯ρA)2) = 2−|A|, fixed by the Hilbert-space dimension alone

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Typical Entanglement of Superpositions

quant-ph · 2026-07-07 · conditional · novelty 7.0

An m-fold superposition of typical sub-maximally entangled states gains a universal ln(m) entanglement enhancement, while maximally entangled states relax to the Haar limit via N-independent scaling laws.

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  • Typical Entanglement of Superpositions quant-ph · 2026-07-07 · conditional · none · ref 4

    An m-fold superposition of typical sub-maximally entangled states gains a universal ln(m) entanglement enhancement, while maximally entangled states relax to the Haar limit via N-independent scaling laws.