Quantum Tomography in Neutral Meson and Antimeson Systems.

Area of Science:

• High Energy Physics
• Quantum Information Science
• Particle Physics

Background:

• Collider environments produce particles with intricate quantum correlations within their flavor states.
• Understanding these correlations is crucial for advancing particle physics and quantum information theory.

Purpose of the Study:

• To present a systematic method for constructing the complete flavor density matrix of a meson-antimeson system (MM[over ¯]).
• To identify optimal systems for quantum tomography, enhancing the study of fundamental particle properties.

Main Methods:

• Development of a systematic approach to construct the flavor density matrix in Bloch vector space.
• Analysis of flavor oscillation and decay properties of different meson systems (Bs0, K0, Bd0, D0).

Main Results:

• The B_{s}^{0} and K^{0} systems are identified as superior for quantum tomography compared to B_{d}^{0} and D^{0}.
• The proposed method allows for the complete characterization of the MM[over ¯] system's quantum state.

Conclusions:

• Quantum tomography of meson-antimeson systems provides a powerful tool for investigating particle production mechanisms.
• This technique facilitates the study of decoherence, quantum information variables, and new sources of CP violation.