A quantum-information theoretic analysis of three-flavor neutrino oscillations

Banerjee, Subhashish; Alok, Ashutosh Kumar; Srikanth, R.; Hiesmayr, Beatrix C.

doi:10.1140/epjc/s10052-015-3717-x

Cited by 85 publications

(68 citation statements)

References 48 publications

(61 reference statements)

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“…Here, in particular, we study the Unruh effect [10,11,16] which predicts thermal like effects from observing uniform acceleration of the Minkowski vacuum. This has attracted intense interest [17][18][19][20][21][22][23][24][25][26][27] and has emerged as a natural quest in the direction of relativistic quantum information [28][29][30][31][32][33][34][35][36][37][38][39][40][41].…”

Section: Jhep02(2017)082mentioning

confidence: 99%

Characterization of Unruh channel in the context of open quantum systems

Banerjee

Alok

Omkar

et al. 2017

J. High Energ. Phys.

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Abstract:In this work, we study an important facet of field theories in curved spacetime, viz. the Unruh effect, by making use of ideas of statistical mechanics and quantum foundations. Aspects of decoherence and dissipation, natural artifacts of open quantum systems, along with foundational issues such as the trade-off between coherence and mixing as well as various aspects of quantum correlations are investigated in detail for the Unruh effect. We show how the Unruh effect can be quantified mathematically by the Choi matrix approach. We study how environmentally induced decoherence modifies the effect of the Unruh channel. The differing effects of a dissipative or non-dissipative environment are noted. Further, useful parameters characterizing channel performance such as gate and channel fidelity are applied here to the Unruh channel, both with and without external influences. Squeezing, which is known to play an important role in the context of particle creation, is shown to be a useful resource in a number of scenarios.

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Section: Jhep02(2017)082mentioning

confidence: 99%

Characterization of Unruh channel in the context of open quantum systems

Banerjee

Alok

Omkar

et al. 2017

J. High Energ. Phys.

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“…(21) and (31), respectively, are in terms of measurable quantities, i.e., the survival and transition probabilities. Several neutrino experiments like NOνA, T2K, Daya-Bay, use a neutrino source producing neutrinos in a particular state ν μ and the detector is sensitive to detect a particular flavor state ν e .…”

Section: Resultsmentioning

confidence: 99%

Entropic Leggett–Garg inequality in neutrinos and B(K) meson systems

Naikoo

Banerjee

2018

Eur. Phys. J. C

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Entropic Leggett-Garg inequality is studied in systems like neutrinos in the context of two and three flavor neutrino oscillations and in neutral B d , B s and K mesons. The neutrino dynamics is described with the matter effect taken into consideration. For the decohering B/K meson systems, the effect of decoherence and CP violation have also been taken into account, using the techniques of open quantum systems. Enhancement in the violation with increase in the number of measurements has been found, in consistency with findings in spin-s systems. The effect of decoherence is found to bring the deficit parameter D [n] closer to its classical value zero, as expected. The violation of entropic Leggett-Garg inequality lasts for a much longer time in K meson system than in B d and B s systems.

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“…Correspondingly, a neutrino state which is entangled as a two qubit state is said to be mode entangled. This type of single-particle entanglement is well-studied in the Quantum Information Theory literature [17], and several recent works investigate its properties in the context of neutrino oscillations (for example, [15,[23][24][25][26][27]). This is the approach we will use in the sequence for entanglement in neutrino oscillations.…”

Section: Ementioning

confidence: 99%

Quantum estimation in neutrino oscillations

Nogueira

Souza

Varizi

et al. 2017

Int. J. Quantum Inform.

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Neutrino oscillations are at the forefront of advances in Physics beyond the Standard Model. Increasing accuracy in measurements of the neutrino mixing matrix is an important challenge in current experiments. It depends on parameters that do not directly correspond to observables of the neutrino system. This type of estimation problem is handled by Quantum Estimation Theory (QET) via the Fisher Information (FI) and the Quantum Fisher Information (QFI). In this work, we analyze two-flavor neutrino oscillations within the framework of QET. We compute the QFI for the mixing angle θ and show that mass measurements are the ones that achieve optimal precision. We also study the FI associated with flavor measurements and show that they are optimized at specific neutrino times-of-flight. Therefore, although the usual population measurement does not realize the precision limit set by the QFI, it can in principle be implemented with the best possible sensitivity to θ. We study how these quantifiers relate to the single-particle, mode entanglement. We demonstrate that this form of entanglement does not enhance neither of them. In particular, this shows that in single-particle settings, entanglement is not directly connected with the optimal precision in metrological tasks.

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A quantum-information theoretic analysis of three-flavor neutrino oscillations

Cited by 85 publications

References 48 publications

Characterization of Unruh channel in the context of open quantum systems

Characterization of Unruh channel in the context of open quantum systems

Entropic Leggett–Garg inequality in neutrinos and B(K) meson systems

Quantum estimation in neutrino oscillations

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