On the distances between entangled pseudoscalar mesons states

TL;DR

This paper investigates the most effective quantum state distance measures for distinguishing entangled pseudoscalar meson states, aiding foundational tests of quantum mechanics and quantum information protocols.

Contribution

It introduces an analysis of distance metrics suited for pseudoscalar meson states, enhancing tools for quantum state discrimination in particle physics.

Findings

Identifies optimal distance measures for pseudoscalar meson states

Provides a framework for better quantum state discrimination

Supports quantum foundations and information applications

Abstract

Entangled states of pseudoscalar mesons represent a very interesting tool for studying foundations of quantum mechanics, e.g. for testing Bell inequalities. Recently, they also emerged as a test bench for quantum information protocols. On the other hand, from a quantum information point of view, the characterization of the distance between two quantum states is a topic of the utmost importance. In this letter, with the purpose of providing a useful tool for further investigations, we address the problem of which distance allows a better discrimination between density matrices appearing in pseudoscalar phenomenology.