Local distinguishability of five five-partite orthogonal product states

arXiv:2611.08940v1 Announce Type: new Abstract: The local distinguishability of five orthogonal product states (OPSs) has been studied in several multipartite settings, but the five-partite case still requires a systematic characterization. In this paper, we consider five five-partite OPSs, where any two states are orthogonal on exactly one subsystem. By analyzing the distribution of ten pairwise orthogonality relations over five subsystems, we classify the corresponding orthogonality structures by colored orthogonality graphs. After eliminating identical graphs under relabeling of states and permutation of subsystems, we obtain 443 different graphs in seven genuinely five-partite categories.