Testing violation of the Leggett–Garg-type inequality in neutrino oscillations of the Daya Bay experiment

Fu, Qiang; Chen, Xurong

doi:10.1140/epjc/s10052-017-5371-y

Cited by 31 publications

(14 citation statements)

References 37 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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“…For the special cases, the neutrino oscillations can be also simplified into the effective two-flavor oscillations. Likewise, the two-flavor oscillations can be considered as a two-mode system, to that the two-qubit system [23][24][25][26][27]. According to the normal ordering of the neutrino mass spectrum (m 1 < m 2 < m 3 ), the best fit values of neutrino oscillations parameters are Δm 2 [28,29].…”

Section: Introductionmentioning

confidence: 99%

“…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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“…Nevertheless, experimental checks that demonstrate the violation of some form of the LGI have been performed using a variety of systems including superconducting qubits, nuclear spins, photons (see Table 1 of Ref. [17,18]), and more recently using the neutrino oscillation data from Minos [19] (2016) and Daya-Bay [20] (2017).…”

Section: Introductionmentioning

confidence: 99%

Neutrino Oscillations at JUNO, the Born Rule, and Sorkin's Triple Path Interference

Huber,

Minakata,

Minic

et al. 2021

Preprint

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We argue that neutrino oscillations at JUNO offer a unique opportunity to study Sorkin's triplepath interference, which is predicted to be zero in canonical quantum mechanics by virtue of the Born rule. In particular, we compute the expected bounds on triple-path interference at JUNO and demonstrate that they are comparable to those already available from electromagnetic probes. Furthermore, the neutrino probe of the Born rule is much more direct due to an intrinsic independence from any boundary conditions, whereas such dependence on boundary conditions is always present in the case of electromagnetic probes. Thus, neutrino oscillations present an ideal probe of this aspect of the foundations of quantum mechanics.

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Testing violation of the Leggett–Garg-type inequality in neutrino oscillations of the Daya Bay experiment

Cited by 31 publications

References 37 publications

Quantification of quantumness in neutrino oscillations

Quantification of quantumness in neutrino oscillations

Entropic uncertainty relation in neutrino oscillations

Neutrino Oscillations at JUNO, the Born Rule, and Sorkin's Triple Path Interference

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