Nonlocality and entropic uncertainty relations in neutrino oscillations
arXiv:2206.13218 · doi:10.1140/epjp/s13360-022-03421-z
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.
arXiv comment9 pages, 3 figures
References in corpus (20)
- Quantum Coherence as a Resource
- Measurement of Neutrino Oscillation with KamLAND: Evidence of Spectral Distortion
- The Uncertainty Principle in the Presence of Quantum Memory
- Entropic Uncertainty Relations and their Applications
- Observable measure of quantum coherence in finite dimensional systems
- QUANTUM FIELD THEORY OF FERMION MIXING
- Entanglement in neutrino oscillations
- The exact formula for neutrino oscillations
- Multipartite entangled states in particle mixing
- Quantum correlations in terms of neutrino oscillation probabilities
- Coherence and Wave Packets in Neutrino Oscillations
- Leggett-Garg inequality in the context of three flavour neutrino oscillation
- A field-theoretical approach to entanglement in neutrino mixing and oscillations
- Study of coherence and mixedness in meson and neutrino systems
- A quantum information theoretic quantity sensitive to the neutrino mass-hierarchy
- Flavor entanglement in neutrino oscillations in the wave packet description
- Wave packet approach to quantum correlations in neutrino oscillations
- Complete complementarity relations for quantum correlations in neutrino oscillations
- New Test of Neutrino Oscillation Coherence with Leggett-Garg Inequality
- Complete complementarity relations: Connections with EPR realism and decoherence and extension to mixed quantum states