A dimensional link between quantum and classical correlations

G. BELLOMO; A. R. PLASTINO; A. PLASTINO

Buenos Aires

Conferencia; V Conference on Quantum Foundations; 2015

Quantum correlations play an important role in our today's understanding of Quantum Mechanics, providing a way to assess the differences with its Classical counterpart. However, when one realizes that the very notions of quantum systems/subsystems and quantum states are not yet fully understood or agreed upon, from the ontological point of view, ambiguities arise: Correlations between what? How to correctly identify them? To answer these kinds of questions, the concepts of separability, locality, and causality seem to be crucial. We are going to discuss some of these issues from an algebraic and information-theoretic perspective, based on some previous works that attempt a generalization of the entanglement notion [1?3]. We will analyze the relative character of general correlations in quantum systems, and their relation to an interesting new link between quantum and classical correlations, first encountered by Li and Luo [4]. In particular, we will show some analytical and numerical results for low-dimensional systems [5-7].[1] Zanardi, P. (2001), Phys. Rev. Lett. 87(7), 077901.[2] Barnum, H., Knill, E., Ortiz, G., Somma, R., & Viola, L. (2004), Phys. Rev. Lett. 92(10), 107902.[3] Harshman, N. L., & Wickramasekara, S. (2007), Phys. Rev. Lett. 98(8), 080406.[4] Li N. & Luo S. (2008), Phys. Rev. A 78, 024303.[5] Bellomo G., Majtey A. P., Plastino A. R. & Plastino A. (2014), Phys. A 405, 260-266.[6] Bellomo G., Plastino A. & Plastino A. R. (2015), Int. J. Quantum Inf. 13(2), 1550015.[7] Bellomo G., Plastino A. R. & Plastino A. (2015), Int. J. Quantum Inf. [In press].