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Us- ing the ricochet identity(M⊗I B)|Ω⟩= (I A ⊗M T)|Ω⟩, theA-side unitary can be moved to theBside,|ψ⟩= (IA ⊗V)|Ω⟩withV=U BU T A

Connecting-unitary reduction Any maximally entangled state has flat, full-rank Schmidt form, can be written as|ψ⟩= (UA ⊗U B)|Ω⟩, where|Ω⟩=d −1/2P k |k⟩A |k⟩B is a fixed referenc

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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 13

    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.