Quantum Tomography in Neutral Meson and Antimeson Systems

TL;DR

This paper develops a systematic method for quantum tomography of meson-antimeson systems, enabling detailed analysis of their quantum states and correlations, which can shed light on fundamental particle interactions and CP violation.

Contribution

It introduces a comprehensive approach to construct the flavor density matrix in the Bloch vector space for meson-antimeson pairs at any time, highlighting the advantages of certain systems for quantum tomography.

Findings

B_s^0 and K^0 systems are optimal for quantum tomography.

The method allows studying decoherence and production mechanisms.

It can help identify new sources of CP violation.

Abstract

The flavor space of particles produced in collider environments contains informative quantum correlations. We present a systematic approach for constructing the complete flavor density matrix for a meson and antimeson system ($M \bar M$) in the Bloch vector space at a given time $t$, which can be at or after production. We point out that the $B_s^0$ and $K^0$ systems are superior to the $B^0_d$ and $D^0$ systems for quantum tomography because of their flavor oscillation and decay properties. Performing quantum tomography for the $M \bar M$ system can facilitate the study of production mechanisms, decoherence phenomena, quantum information variables, and potential new sources of CP violation.