Speaker
Description
Quantum tomography has become an indispensable tool in order to compute the density matrix $\rho$ of quantum systems in Physics. Recently, it has further gained importance as a basic step to test entanglement and violation of Bell inequalities in High-Energy Particle Physics. In this talk, I present the theoretical framework for reconstructing the helicity quantum initial state of a general scattering process. In particular, I perform an expansion of $\rho$ over the irreducible tensor operators $\{T^L_M\}$ and compute the corresponding coefficients uniquely by averaging, under properly chosen Wigner D-matrices weights, the angular distribution data of the final particles. Besides, I provide the explicit angular dependence of both the normalised differential cross section and the generalised production matrix $\Gamma$. Finally, I re-derive all our previous results from a quantum-information perspective using the Weyl-Wigner-Moyal formalism and obtain in addition simple analytical expressions for the Wigner $P$ and $Q$ symbols.
