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.

arXiv comment7 pages, 6 figures

References in corpus (28)

• Quantum entanglement
• General Monogamy Inequality for Bipartite Qubit Entanglement
• Collective Neutrino Oscillations
• 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
• Experimental Nonlocality Proof of Quantum Teleportation and Entanglement Swapping
• Entanglement in neutrino oscillations
• Temporal quantum correlations and Leggett-Garg inequalities in multi-level systems
• A Triangle Governs Genuine Tripartite Entanglement
• A quantum information theoretic analysis of three flavor neutrino oscillations
• Quantum correlations in terms of neutrino oscillation probabilities
• Multipartite Entanglement in Stabilizer Tensor Networks
• Quantifying Quantum Coherence in Experimentally-Observed Neutrino Oscillations
• Probing the Leggett-Garg Inequality for Oscillating Neutral Kaons and Neutrinos
• Leggett-Garg inequality in the context of three flavour neutrino oscillation
• A field-theoretical approach to entanglement in neutrino mixing and oscillations
• Geometric mean of bipartite concurrences as a genuine multipartite entanglement measure
• Generalized Geometric Measure of Entanglement for Multiparty Mixed States
• Multipartite Entanglement Accumulation in Quantum States: Localizable Generalized Geometric Measure
• Testing violation of the Leggett-Garg-type inequality in neutrino oscillations of the Daya Bay experiment
• Wave packet approach to quantum correlations in neutrino oscillations
• Three Flavoured neutrino oscillations and the Leggett Garg Inequality
• Complete complementarity relations for quantum correlations in neutrino oscillations
• Tri-Partite entanglement in Neutrino Oscillations
• Quantum correlations in neutrino oscillations in curved spacetime
• 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