Coherent dynamics of flavor mode entangled neutrinos

TL;DR

This paper explores the quantum coherence properties of neutrino oscillations by analyzing various coherence measures in multi-mode neutrino systems, revealing their potential for quantum information applications.

Contribution

It introduces a comprehensive framework for calculating multiple coherence measures in neutrino oscillations, extending beyond traditional metrics and emphasizing the role of entanglement.

Findings

Different coherence measures provide unique insights into neutrino quantum correlations.

Entanglement plays a critical role in the coherence properties of neutrino oscillations.

Neutrino systems show promise for quantum information tasks due to their robustness and weak interactions.

Abstract

As the lynchpin of all quantum correlations, quantum coherence is fundamental for distinguishing quantum systems from classical ones and is essential for realizing quantum advantages in areas such as computation, communication, and metrology. In this study, we investigate the relationship between quantum coherence and neutrino oscillations by mapping the neutrino state as a multi-mode quantum system into qubit and qutrit frameworks. Our analysis extends beyond the commonly used $l_1$-norm and relative entropy of coherence to include all relevant measures of coherence such as robustness of coherence, coherence concurrence, trace-norm distance measure of coherence, coherence of formation, Schatten-$p$-norm-based functionals, geometric coherence and logarithmic coherence rank, each offering unique insights into the quantum correlations in these systems. Notably, while the $l_1$-norm and relative entropy-based measures apply to general quantum states, the other measures are particularly relevant for entangled systems, highlighting the critical role of entanglement in neutrino oscillations. We present a detailed methodology for calculating coherence measures in both two-flavor and three-flavor mixing scenarios, contributing to a deeper understanding of how quantum coherence manifests and evolves in mode-entangled neutrino systems. Our findings emphasize the potential of these systems as robust candidates for quantum information tasks, facilitated by the weak interaction nature of neutrinos.