Quantum Partial Information Decompositions, an Operational Order on Ensembles, and Direct Quantifications of Objective Information
This work develops a framework, Partial Information Decompositions (PID), to systematically analyze distributed information in quantum systems by decomposing it into 'partial atoms.' It introduces operational partial orders on quantum ensembles to quantify objective information in extended graph states. The findings show how objective information is shared redundantly and how different ways of measuring redundancy relate.