2010/11/30 by R. Rossignoli, N. Canosa, L. Ciliberti · 4 citations
Computer Science · Mathematics · Physics and Astronomy · #Bipartite graph #Diagonal #Discrete mathematics #Entropy (arrow of time) #Formalism (music) #Generalized relative entropy #Mathematics #Physics #Quadratic equation #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum discord #Quantum entanglement #Quantum mechanics #Quantum state #Separable state #Statistical physics #quant-ph
paper · pdf · doi:10.1103/physreva.82.052342
published as Physical Review A 82, 052342 (2010) · 9 pages, 2 figures
openalex publication_date 2010/11/30 · arxiv created 2011/04/29 · arxiv updated 2015/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We propose a general measure of nonclassical correlations for bipartite systems based on generalized entropic functions and majorization properties. Defined as the minimum information loss due to a local measurement, in the case of pure states it reduces to the generalized entanglement entropy, i.e., the generalized entropy of the reduced state. However, in the case of mixed states it can be nonzero in separable states, vanishing just for states diagonal in a general product basis, like the quantum discord. Simple quadratic measures of quantum correlations arise as a particular case of the present formalism. The minimum information loss due to a joint local measurement is also discussed. The evaluation of these measures in simple relevant cases is as well provided, together with comparison with the corresponding entanglement monotones.