Bohr's complementarity relation and the violation of the CP symmetry in high energy physics

TL;DR

This paper investigates how Bohr's complementarity relation applies to neutral kaons, analyzing the impact of CP violation on quantum and classical information, and establishing a link between entanglement and CP symmetry breaking.

Contribution

It demonstrates that entanglement measures are unaffected by CP violation, while nonlocality is sensitive, providing new insights into quantum correlations in high energy physics.

Findings

Entanglement measure (concurrence) is independent of CP violation.

Nonlocality is sensitive to CP violation.

Bohr's relation is tested in a system with decay, oscillation, and interference.

Abstract

We test Bohr's complementary relation, which captures the most counterintuitive difference of a classical and a quantum world, for single and bipartite neutral kaons. They present a system that is naturally interfering, oscillating and decaying. Moreover, kaons break the CP symmetry (C...charge conjugation, P...parity). In detail we discuss the effect of the CP violation on Bohr's relation, i.e. the effect on the "particle-like" information and the "wave-like" information. Further we show that the quantity that complements the single partite information for bipartite kaons is indeed concurrence, a measure of entanglement, strengthening our concept of entanglement. We find that the defined entanglement measure is independent of CP violation while it has been shown that nonlocality is sensitive to CP violation.