On the continuity of asymptotic measures of entanglement

2002/03/21 by G. Vidal, Vidal, G.
Physics and Astronomy · #FOS: Physical sciences #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0203107

5 pages, 1 figure, revtex

arxiv created 2002/03/21 · openalex publication_date 2002/03/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that, in any open set of distillable states, all asymptotic entanglement measures E(ρ) are continuous as a function of (a single copy of) ρ, even though they quantify the entanglement properties of ρ^{⊗ N} is the large N limit.

Related

• Additive entanglemement measures cannot be more than asymptotically continuous
• Asymptotic continuity of additive entanglement measures
• Continuity of Relative Entropy of Entanglement
• Epsilon-measures of entanglement
• Asymptotic equipartition property of subadditive multipartite entanglement measures on pure states