2011/12/31 by R. Prabhu, Aditi Sen, Aditi Sen De +1
Computer Science · Mathematics · Physics and Astronomy · #Correlation #Ergodic theory #Geometry #Mathematics #Perspective (graphical) #Physics #Pure mathematics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum correlation #Quantum discord #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Statistical physics #cond-mat.stat-mech #cond-mat.str-el #quant-ph
paper · pdf · doi:10.1103/physreva.86.012336
published as Phys. Rev. A 86, 012336 (2012) · 8 pages, 5 figures, REVTeX 4.1; v2: published version, 9 pages
openalex publication_date 2012/07/30 · arxiv created 2012/08/10 · arxiv updated 2012/08/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We report opposite statistical-mechanical behaviors of the two major paradigms in which quantum correlation measures are defined, viz., the entanglement-separability paradigm and the information-theoretic one. We show this by considering the ergodic properties of such quantum correlation measures in transverse quantum XY spin-(1)/(2) systems in low dimensions. While entanglement measures are ergodic in such models, the quantum correlation measures defined from an information-theoretic perspective can be nonergodic.