Complete Positivity and the K K-bar system

TL;DR

This paper explores the implications of imposing complete positivity on linear positive maps in quantum models, showing that experimental bounds from the neutral kaon system also constrain completely positive maps, refining quantum theory tests.

Contribution

It demonstrates how experimental data constrains the parameters of completely positive maps in quantum models, extending previous bounds on positive maps.

Findings

Experimental bounds on positive maps also limit completely positive maps.

Complete positivity imposes stronger constraints on quantum models.

Data from the neutral kaon system informs theoretical bounds.

Abstract

Models that provide experimentally testable violations of ordinary Quantum Mechanics have been recently proposed. These models are based on non-unitary time evolutions of density matrices that are generated by linear positive maps. We discuss the consequences of imposing a stronger condition on those maps, known as complete positivity. It turns out that experimental data on the neutral kaon system giving upper bounds to the parameters characterizing positive maps, also give bounds to those determining completely positive ones.