2019/10/24 by Andrea Coladangelo, Debbie Leung, Coladangelo, Andrea +1
Computer Science · Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #hep-th #math-ph #math.MP #quant-ph
paper · pdf · doi:10.48550/arxiv.1910.11354
arxiv created 2019/10/24 · openalex publication_date 2019/10/24 · arxiv updated 2019/10/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this short note, we show that any non-constant quantity defined on density matrices that is additive on tensor products and invariant under permutations cannot be "more than asymptotically continuous." The proof can be adapted to show that any additive entanglement measure (on any number of parties) that is invariant under local unitary operations also cannot be more than asymptotically continuous. The proof is a direct consequence of generalizing a protocol in arXiv:0804.4118 for embezzling entanglement.