Quantum correlations in terms of neutrino oscillation probabilities

Abstract

Neutrino oscillations provide evidence for the mode entanglement of neutrino mass eigenstates in a given flavour eigenstate. Given this mode entanglement, it is pertinent to consider the relation between the oscillation probabilities and other quantum correlations. In this work, we show that all the well-known quantum correlations, such as the Bell's inequality, are directly related to the neutrino oscillation probabilities. The results of the neutrino oscillation experiments, which measure the neutrino survival probability to be less than unity, imply Bell's inequality violation. * akalok@iitj.ac.in † subhashish@iitj.ac.in ‡ uma@phy.iitb.ac.in

Characterization of Unruh channel in the context of open quantum systems

“…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].…”

“…Coherence plays a central role in quantum mechanics [37] enabling operations or tasks which are impossible within the regime of classical mechanics. As a resource in quantum operations, it has attracted much attention in recent times [53].…”

Quantum estimation in neutrino oscillations

“…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.…”

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

“…Mermin and Svetlichny [13,14] inequalities were derived for three or even many body system that have two macroscopic distinct states. Using these results of two-level states, a series of quantum-information theory calculations [15][16][17][18] have been applied on neutrino flavor oscillation in the last several years. These quantum correlations can be directly linked to the probabilities of flavor oscillation, which leads to violation of the classical boundary limits when assuming the neutrino oscillation mixing angle is not vanishing.…”