2018/04/30 by S. Camalet · 18 citations
Computer Science · Mathematics · Physics and Astronomy · #Bipartite graph #Combinatorics #Computer science #Limit (mathematics) #Mathematical analysis #Mathematics #Measure (data warehouse) #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum correlation #Quantum discord #Quantum entanglement #Quantum mechanics #Squashed entanglement #Statistical physics #Upper and lower bounds #quant-ph
paper · pdf · doi:10.1103/physrevlett.121.060504
published in Physical Review Letters 121(6), 060504 (American Physical Society)
arxiv created 2018/08/07 · openalex publication_date 2018/08/07 · arxiv updated 2018/08/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We show a relation between entanglement and correlations of any form. The internal entanglement of a bipartite system, and its correlations with another system, limit each other. A measure of correlations, of any nature, cannot increase under local operations. Examples are the entanglement monotones, the mutual information that quantifies total correlations, and the Henderson-Vedral measure of classical correlations. External correlations, evaluated by such a measure, set a tight upper bound on the internal entanglement that decreases as they increase, and so does quantum discord.