Nonlocality and entropic uncertainty relations in neutrino oscillations

TL;DR

This paper investigates the relationship between nonlocal quantum coherence and entropic uncertainty in neutrino oscillations, revealing anti-correlation and hierarchy among different coherence measures using a wave-packet approach.

Contribution

It introduces a detailed analysis of quantum-memory-assisted entropic uncertainty relations in neutrino oscillations and compares various definitions of nonlocal advantage of quantum coherence.

Findings

Uncertainty and NAQC are anti-correlated in neutrino oscillations.

The l1-norm based NAQC detects more coherence than other measures.

The hierarchy among NAQC definitions is established based on coherence measures.

Abstract

Using 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 the l1-norm, relative entropy and skew information coherence measures, and we find that the coherence content detected by the l1-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 a their extension to quantum field theory.