Non-locality and entropic uncertainty relations in neutrino oscillations

Abstract

AbstractUsing the wave-packet approach to neutrino oscillations, we analyze quantum-memory-assisted entropic uncertainty relations and show that uncertainty and the non-local advantage of quantum coherence are anti-correlated. Furthermore, we explore the hierarchy among three different definitions of NAQC, those based on $$l_{1}$$ l 1 -norm, relative entropy and skew information coherence measures, and we find that the coherence content detected by the $$l_{1}$$ l 1 -norm-based NAQC overcomes the other two. The connection between QMA-EUR and NAQC could provide a better understanding of the physical meaning of the results so far obtained and suggest their extension to quantum field theory.