Entropic uncertainty relations and quantum Fisher information of top quarks in a large hadron collider

Abstract

We employ the entropic uncertainty relations and the quantum Fisher information to explore the formation of quark $t\bar{t}$ pairs at a large hadron collider through the combination of $q\bar{q}$ pair and $gg$ pair initiated processes. A comprehensive analysis has been undertaken on the procedure of quark and gluon channel mixing in the production of top quark pairs $t\bar{t}$, encompassing the tightness of the entropic uncertainty inequalities and the maximum quantum Fisher information of the system.

15 pages, 11 figures

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• Quantum mutual information, coherence and unified relations of top quarks in QCD processes
• Dynamical redistribution of quantum resources in tree-level Bhabha scattering
• Genuine tripartite entanglement in Bhabha scattering with an entangled spectator particle