Quantum state tomography, entanglement detection and Bell violation prospects in weak decays of massive particles

DOI10.1007/JHEP05(2023)020arXiv2209.13990MaRDI QIDQ6105227

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Publication date: 26 June 2023

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Abstract: A rather general method for determining the spin density matrix of a multi-particle system from angular decay data is presented. The method is based on a Bloch parameterisation of the $d$-dimensional generalised Gell-Mann representation of $ho$ and exploits the associated Wigner- and Weyl-transforms on the sphere. Each parameter of a (possibly multipartite) spin density matrix can be measured from a simple average over an appropriate set of experimental angular decay distributions. The general procedures for both projective and non-projective decays are described, and the Wigner $P$ and $Q$ symbols calculated for the cases of spin-half, spin-one, and spin-3/2 systems. The methods are used to examine Monte Carlo simulations of $pp$ collisions for bipartite systems: $ppightarrow{W}^{+}{W}^{-}$, $ppightarrowZZ$, $ppightarrowZ{W}^{+}$, $$, $$, and those from the Higgs boson decays $HightarrowW{W}^{*}$ and $HightarrowZ{Z}^{*}$. Measurements are proposed for entanglement detection, exchange symmetry detection and Bell inequality violation in bipartite systems.

Full work available at URL: https://arxiv.org/abs/2209.13990

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