  Several measures of quantum correlations such as Leggett-Garg and Bell-type
inequalities have been extensively studied in the context of neutrino
oscillations. However these analyses are performed under the assumption of
standard model (SM) interactions of neutrinos. In this work we study new
physics effects on $l_1$-norm based measure of quantum coherence which
quantifies the quantumness embedded in the system and is also intrinsically
related to various measures of quantum correlations. Moreover, it is considered
to be a resource theoretical tool which can be utilized in quantum algorithms
and quantum channel discrimination. The new physics effects are incorporated in
a model independent way by using the effective Lagrangian for the neutral
current non-standard neutrino interactions (NSI). Bounds on the NSI parameters
are extracted from a recent global analysis of oscillation experiments
including COHERENT (coherent neutrino-nucleus scattering experiment) data. In
the context of upcoming DUNE experimental setup, we find that the most
favourable combination of LMA-Light sector of $\theta_{12}$ (i.e.,
$\theta_{12}< 45^o$) with normal mass ordering decreases the coherence in the
system in comparison to the SM prediction for all values of neutrino energy E
and CP violating phase $\delta$ (except in the narrow region around E ~ 2 GeV).
On the other hand, a large enhancement in the value of coherence parameter in
the entire $(E-\delta)$ plane is possible for the dark octant of $\theta_{12}$
($\theta_{12}> 45^o$) with inverted ordering. For almost all values of CP
violating phase, the enhancement is more protuberant in the region around E ~ 4
GeV where maximum neutrino flux is expected in the DUNE experiment. Therefore
for the normal mass ordering, the SM interaction provides favourable conditions
for quantum information tasks while the NSI favours inverted ordering scenario
for such tasks.

High Energy Physics - Phenomenology