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

Naikoo, Javid; Alok, Ashutosh Kumar; Banerjee, Subhashish; Sankar, S. Uma; Guarnieri, Giacomo; Schultze, Christiane; Hiesmayr, Beatrix C.

doi:10.1016/j.nuclphysb.2019.114872

Cited by 39 publications

(36 citation statements)

References 46 publications

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“…Afterwards, the NAQC for two-qubit states with high fidelity is experimentally demonstrated in an optics-based platform [38]. The information theoretic tools have many applications to solve the problems in NOs for the distinguishment the neutrinos nature between Dirac and Majorana fermions [39] and the mass-degeneracy problem [40]. Also, some progresses have been made on the correlation by virtue of flavor transition probabilities of NOs by quantum information theory, such as quantum discord [26], Svetlichny inequalities [25], concurrence [41,42], quantum coherence [43], and quantum estimation [44].…”

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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“…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]. However, so far, there have been no observations on entropic uncertainty relations in neutrino systems.…”

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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“…Due to the stationarity condition, functions C(t i , t j ) now depend only on the time difference t j − t i . The K 3 quantity can be written as [28,31,56]…”

Section: Leggett-garg Type Inequality (mentioning

confidence: 99%

“…Such inequalities are more suited for the study of temporal correlations in the neutrino sector in comparison to the LGIs as measurement of neutrinos destroys the NIM assumption. Further, LGtIs can be expressed in terms of neutrino survival and transition probabilities [28,31].…”

Section: Introductionmentioning

confidence: 99%

Effects of nonstandard interaction on temporal and spatial correlations in neutrino oscillations

Sarkar

Dixit

2021

Eur. Phys. J. C

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Effects of physics beyond the standard model in the neutrino sector are conveniently incorporated through non-standard interaction parameters. Assuming new physics in the form of dimension-6 vector operators, a recent global analysis of neutrino oscillation data including results from COHERENT experiment suggests two favourable new physics scenarios. These are LMA-Light (with normal mass ordering) and LMA-Dark (with inverted mass ordering) sectors of parameters. In this work, we study the effects of new physics solutions on Leggett–Garg-type (LGtI) inequality which quantifies temporal correlations in the system along with flavour entropy and genuine tripartite entanglement which can be considered as measures of spatial correlations. We show that the violation of LGtI for $$\nu _{\mu }$$ ν μ energy around 3 GeV in the DUNE experimental set-up can not only be an indication of presence of new physics but such a new physics is expected to be in the form of LMA-Dark sector with inverted ordering. Further, we show that the LMA-Light solution, in general, decreases the values of all measures of quantum correlations in comparison to their SM predictions. On the other hand, the Dark solution can significantly enhance the values of these measures.

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

Cited by 39 publications

References 46 publications

Quantification of quantumness in neutrino oscillations

Quantification of quantumness in neutrino oscillations

Entropic uncertainty relation in neutrino oscillations

Effects of nonstandard interaction on temporal and spatial correlations in neutrino oscillations

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