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Quantum Foundations

Leggett-Garg inequalities in the quantum field theory of neutrino oscillations

arXiv
Authors: Massimo Blasone, Fabrizio Illuminati, Luciano Petruzziello, Luca Smaldone

Year

2021

Paper ID

41467

Status

Preprint

Abstract Read

~2 min

Abstract Words

90

Citations

N/A

Abstract

We investigate Leggett-Garg temporal inequalities in flavor-mixing processes. We derive an exact flavor-mass uncertainty product and we establish that it is an upper bound to the violation of the inequalities. This finding relates temporal nonclassicality to quantum uncertainty and provides a time analog of the Tsirelson upper bound to the violation of the spatial Bell inequalities. By studying the problem both in the exact field-theoretical setting and in the limiting quantum mechanical approximation, we show that Leggett-Garg inequalities are violated more strongly in quantum field theory than in quantum mechanics.

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  • This paper contributes to the Quantum Foundations research area in the Quantum Articles archive.
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  • We investigate Leggett-Garg temporal inequalities in flavor-mixing processes.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2111.09979 [2] arXiv https://arxiv.org/abs/2111.09979 [3] Publisher https://arxiv.org/abs/2111.09979

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