Quantum uncertainty relations are typically analyzed for a pair of incompatible observables, however, the concept per se naturally extends to situations of more than two observables. In this work, we obtain tripartite quantum memory-assisted entropic uncertainty relations and show that the lower bounds of these relations have three terms that depend on the complementarity of the observables, the conditional von-Neumann entropies, the Holevo quantities, and the mutual information. The saturation of these inequalities is analyzed.
@article{arxiv.2103.06963,
title = {Tripartite quantum-memory-assisted entropic uncertainty relations for multiple measurements},
author = {Hazhir Dolatkhah and Saeed Haddadi and Soroush Haseli and Mohammad Reza Pourkarimi and Mario Ziman},
journal= {arXiv preprint arXiv:2103.06963},
year = {2023}
}