Tensor-Centric Warfare II: Entropic Uncertainty Modeling

WISDOM-II: A Network Centric Model for Warfare

With recognition of warfare as a complex adaptive system, a number of AgentBased Distillation Systems (ABDs) for warfare have been developed and adopted to study the dynamics of warfare and gain insight into military operations. These systems have facilitated the analysis and understanding of combat. However, these systems are unable to meet the new needs of defence, arising from current practi...

Knowledge versus Network Centric Warfare

Majorization 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...

Entropic Uncertainty Relations

This is a modified version of my contribution to the conference on quantum probability (Bialynicki-Birula 1984b).

Asymptotic entropic uncertainty relations

We analyze entropic uncertainty relations for two orthogonal measurements on a N-dimensional Hilbert space, performed in two generic bases. It is assumed that the unitary matrix U relating both bases is distributed according to the Haar measure on the unitary group. We provide lower bounds on the average Shannon entropy of probability distributions related to both measurements. The bounds are s...