Geuine tripartite entanglement in three-flavor neutrino oscillations

Abstract

The violation of Leggett-Garg inequalities tested the quantumness of neutrino oscillations (NOs) across macroscopic distances. The quantumness can be quantified by using the tools of the quantum resource theories. Recently, a new genuine tripartite entanglement measure [S. B. Xie et al., Phys. Rev. Lett. 127, 040403 (2021)], concurrence fill, is defined as the square root of the area of the concurrence triangle satisfying all genuine multipartite entanglement conditions. It has several advantages compared to other existing tripartite measures. Here, we focus on using concurrence fill to quantify the tripartite entanglement in three-flavor NOs. Concurrence fill can reach its maximum $0.89$ for the experimentally-observed electron antineutrino oscillations, but it cannot for the muon antineutrino oscillations. In both cases, we compare its performance with other three tripartite entanglement measures, including the generalized geometric measure (GGM), the three-$\pi$ entanglement, and the genuinely multipartite concurrence (GMC), in the neutrino propagation, and accordingly show that concurrence fill contains the most quantum resource. Furthermore, concurrence fill and the three-$\pi$ entanglement are always smooth, while GGM and GMC measures have several sharp peaks. The genuine tripartite quantification of the quantumness of three-flavor NOs represents the first step towards the further potential application of neutrinos on quantum information processing.

7 pages, 6 figures

References in corpus (12)

• General Monogamy Inequality for Bipartite Qubit Entanglement
• Updated fit to three neutrino mixing: status of leptonic CP violation
• Measure of genuine multipartite entanglement with computable lower bounds
• Monogamy Inequality in terms of Negativity for Three-Qubit States
• Entanglement in neutrino oscillations
• A Triangle Governs Genuine Tripartite Entanglement
• Leggett-Garg inequality in the context of three flavour neutrino oscillation
• Geometric mean of bipartite concurrences as a genuine multipartite entanglement measure
• Wave packet approach to quantum correlations in neutrino oscillations
• Complete complementarity relations for quantum correlations in neutrino oscillations
• Quantum Correlations in Neutrino Oscillation: Coherence and Entanglement
• Gravitational Effects on Quantum Coherence in Neutrino Oscillation

Cited by in corpus (8)

• Entanglement in three-flavor collective neutrino oscillations
• Multipartite entanglement measures: a review
• Quantum coherence and entanglement in neutral-current neutrino oscillation in matter
• Quantum Spread Complexity in Neutrino Oscillations
• Time-energy uncertainty relation for neutrino oscillations: historical development, applications and future prospects
• Classification of three-qubit genuine entangled states using concurrence fill
• Genuine tripartite entanglement in Bhabha scattering with an entangled spectator particle
• Dynamical redistribution of quantum resources in tree-level Bhabha scattering