Neutrino oscillations in discrete-time quantum walk framework

TL;DR

This paper models neutrino oscillations using discrete-time quantum walks, providing a framework that can be experimentally realized and analyzing entanglement to understand wave function delocalization.

Contribution

It introduces a quantum walk-based simulation scheme for three-generation neutrino oscillations, connecting neutrino physics with quantum information processing.

Findings

Quantum walk parameters reproduce neutrino oscillation profiles.

The scheme is realizable in low-energy quantum systems.

Entanglement analysis quantifies wave function delocalization.

Abstract

Here we present neutrino oscillation in the frame-work of quantum walks. Starting from a one spatial dimensional discrete-time quantum walk we present a scheme of evolutions that will simulate neutrino oscillation. The set of quantum walk parameters which is required to reproduce the oscillation probability profile obtained in both, long range and short range neutrino experiment is explicitly presented. Our scheme to simulate three-generation neutrino oscillation from quantum walk evolution operators can be physically realized in any low energy experimental set-up with access to control a single six-level system, a multiparticle three-qubit or a qubit-qutrit system. We also present the entanglement between spins and position space, during neutrino propagation that will quantify the wave function delocalization around instantaneous average position of the neutrino. This work will contribute towards understanding neutrino oscillation in the framework of the quantum information perspective.