Classicality concept test on neutral pseudoscalar meson qubits with Wigner inequalities

TL;DR

This paper introduces a new way to test classicality in neutral meson qubits using Wigner inequalities, showing that violations can be observed despite significant background noise.

Contribution

It derives time-dependent Wigner inequalities for meson pairs and analyzes their experimental testability in realistic noisy conditions.

Findings

Violations detectable with up to 50% background noise

Applicable to $K^0$, $D^0$, and $B_s$ meson pairs

Extends to potential three-instant inequalities

Abstract

In this study, we introduce the concept of Classicality and derive Wigner inequalities that depend on two instants, with a potential extension to three instants. We explore the experimental feasibility of testing the violations of these inequalities in both pure and mixed flavor states of $K^0$-, $D^0$-, and $B_s$- meson pairs. Using the Werner noise model, we demonstrate that violations of time-dependent Wigner inequalities can be detected even when background processes constitute up to 50% of the system.