Three-flavoured neutrino oscillations and the Leggett–Garg inequality

Gangopadhyay, Debashis; Roy, A

doi:10.1140/epjc/s10052-017-4837-2

Cited by 30 publications

(25 citation statements)

References 47 publications

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“…Before considering this, the quantumness of NOs should be adequately examined in advance. For this purpose, some works [27][28][29][30] have tested the quantumness of NOs by utilizing the Leggett-Garg inequality (LGI) treated as the temporal Bell inequality. It suggests that the classical limits can be violated with the LGI in experimentally observed NOs [31].…”

Section: Introductionmentioning

confidence: 99%

Quantification of quantumness in neutrino oscillations

et al. 2020

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Neutrino oscillation is an important physical phenomenon in elementary particle physics, and its nonclassical features can be revealed by the Leggett-Garg inequality. It shows that its quantum coherence can be sustained over astrophysical length scales. In this work, we investigate the measure of quantumness in experimentally observed neutrino oscillations via the nonlocal advantage of quantum coherence (NAQC), quantum steering, and Bell nonlocality. From various neutrino sources, ensembles of reactor and accelerator neutrinos are analyzed at distinct energies, such as Daya Bay (0.5 km and 1.6 km) and MINOS (735 km) collaborations. The NAQC of two-flavor neutrino oscillation is characterized experimentally compared to the theoretical prediction. It exhibits non-monotonously evolutive phenomenon with the increase of energy. Furthermore, it is found that the NAQC is a stronger quantum correlation than quantum steering and Bell nonlocality even in the order of km. Hence, for an arbitrary bipartite neutrino-flavor state with achieving a NAQC, it must be also a steerable and Bell nonlocal state. The results might offer an insight into the neutrino oscillation for the further applications on quantum information processing.

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Section: Introductionmentioning

confidence: 99%

Quantification of quantumness in neutrino oscillations

et al. 2020

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“…There could be many importantly potential applications in the domain of quantum information science. Motivated by this, various attempts have been made to explore the quantumness of neutrino system by means of flavor transition probabilities, including Leggett-Garg inequality [24,[30][31][32], Svetlichny inequalities [29], quantum discord [23], quantum entanglement [33], and quantum coherence [26]. Moreover, the quan-tum information theoretic tools are capable of addressing some intractable issues in neutrino oscillations, which are the distinct problem of the neutrinos nature between Dirac and Majorana fermions [34], and the mass-degeneracy problem [35].…”

Section: Introductionmentioning

confidence: 99%

Entropic uncertainty relation in neutrino oscillations

et al. 2020

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Neutrino oscillation is deemed as an interesting physical phenomenon and shows the nonclassical features made apparently by the Leggett–Garg inequality. The uncertainty principle is one of the fundamental features that distinguishes the quantum world to its classical counterpart. And the principle can be depicted in terms of entropy, which forms the so-called entropic uncertainty relations (EUR). In this work, the entropic uncertainty relations that are relevant to the neutrino-flavor states are investigated by comparing the experimental observation of neutrino oscillations to predictions. From two different neutrino sources, we analyze ensembles of reactor and accelerator neutrinos for different energies, including measurements performed by the Daya Bay collaboration using detectors at 0.5 and 1.6 km from their source, and by the MINOS collaboration using a detector with a 735km distance to the neutrino source. It is found that the entropy-based uncertainty conditions strengths exhibits non-monotonic evolutions as the energy increases. We also quantify the systemic quantumness measured by quantum correlation, and derive the intrinsic relationship between quantum correlation and EUR. Furthermore, we utilize EUR as a criterion to detect entanglement of neutrino-flavor state. Our results could illustrate the potential applications of neutrino oscillations on quantum information processing in the weak-interaction processes.

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“…In Ref. [20] the authors studied the difference in the maximal violation of the Leggett-Garg inequality for a particular setup for two and three neutrinoflavor oscillations.…”

Section: Introductionmentioning

confidence: 99%

A quantum information theoretic quantity sensitive to the neutrino mass-hierarchy

et al. 2020

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In this work, we derive a quantum information theoretic quantity similar to the Leggett-Garg inequality, which can be defined in terms of neutrino transition probabilities. For the case of νµ → νe/νµ →νe transitions, this quantity is sensitive to CP violating effects as well as the neutrino mass-hierarchy, namely which neutrino mass eigenstate is heavier than the other ones. The violation of the inequality for this quantity shows an interesting dependence on mass-hierarchy. For normal (inverted) mass-hierarchy, it is significant for νµ → νe (νµ →νe) transitions. This is applied to the two ongoing accelerator experiments T2K and NOνA as well as the future experiment DUNE.

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Three-flavoured neutrino oscillations and the Leggett–Garg inequality

Cited by 30 publications

References 47 publications

Quantification of quantumness in neutrino oscillations

Quantification of quantumness in neutrino oscillations

Entropic uncertainty relation in neutrino oscillations

A quantum information theoretic quantity sensitive to the neutrino mass-hierarchy

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