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arxiv: quant-ph/0203107 · v1 · submitted 2002-03-21 · 🪐 quant-ph

On the continuity of asymptotic measures of entanglement

classification 🪐 quant-ph
keywords entanglementasymptoticmeasurescontinuitycontinuouscopydistillableeven
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We show that, in any open set of distillable states, all asymptotic entanglement measures $E(\rho)$ are continuous as a function of (a single copy of) $\rho$, even though they quantify the entanglement properties of $\rho^{\otimes N}$ is the large $N$ limit.

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  1. Catalytic advantage in asymptotic entanglement manipulation

    quant-ph 2026-05 unverdicted novelty 7.0

    Catalysis lowers the exact asymptotic entanglement cost for preparing multiple copies of a quantum state via an explicit protocol.