Entropic measures of joint uncertainty: effects of lack of majorization
نویسندگان
چکیده
Alfredo Luis, Gustavo Mart́ın Bosyk, and Mariela Portesi Departamento de Óptica, Facultad de Ciencias F́ısicas, Universidad Complutense, 28040 Madrid, Spain Instituto de F́ısica La Plata (IFLP), CONICET, and Departamento de F́ısica, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, Casilla de Correo 67, 1900 La Plata, Argentina Laboratoire Grenoblois d’Image, Parole, Signal et Automatique (GIPSA-Lab, CNRS), 11 rue des Mathématiques, 38402 Saint Martin d’Hères, France (Dated: January 27, 2015)
منابع مشابه
Optimal Universal Uncertainty Relations
We study universal uncertainty relations and present a method called joint probability distribution diagram to improve the majorization bounds constructed independently in [Phys. Rev. Lett. 111, 230401 (2013)] and [J. Phys. A. 46, 272002 (2013)]. The results give rise to state independent uncertainty relations satisfied by any nonnegative Schur-concave functions. On the other hand, a remarkable...
متن کاملUniversal uncertainty relations.
Uncertainty relations are a distinctive characteristic of quantum theory that impose intrinsic limitations on the precision with which physical properties can be simultaneously determined. The modern work on uncertainty relations employs entropic measures to quantify the lack of knowledge associated with measuring noncommuting observables. However, there is no fundamental reason for using entro...
متن کاملMajorization entropic uncertainty relations
Zbigniew Puchała, Łukasz Rudnicki, Karol Życzkowski Institute of Theoretical and Applied Informatics, Polish Academy of Sciences, Bałtycka 5, 44-100 Gliwice, Poland Institute of Physics, Jagiellonian University, ul. Reymonta 4, 30-059 Kraków, Poland Center for Theoretical Physics, Polish Academy of Sciences, al. Lotników 32/46, 02-668 Warszawa, Poland Freiburg Insitute for Advanced Studies, Alb...
متن کاملEnhanced Information Exclusion Relations
In Hall's reformulation of the uncertainty principle, the entropic uncertainty relation occupies a core position and provides the first nontrivial bound for the information exclusion principle. Based upon recent developments on the uncertainty relation, we present new bounds for the information exclusion relation using majorization theory and combinatoric techniques, which reveal further charac...
متن کاملPositive maps, majorization, entropic inequalities, and detection of entanglement
In this paper, we discuss some general connections between the notions of positive map, weak majorization and entropic inequalities in the context of detection of entanglement among bipartite quantum systems. First, basing on the fact that any positive map Λ : Md(C) → Md(C) can be written as the difference between two completely positive maps Λ = Λ1 − Λ2, we propose a possible way to generalize...
متن کامل