Local distinguishability based genuinely quantum nonlocality without entanglement

Recently, Halder \emph{et al.} [Phys. Rev. Lett. \textbf{122}, 040403 (2019)] proposed the concept strong nonlocality without entanglement: an orthogonal set of fully product states in multipartite quantum systems that is locally irreducible for every bipartition subsystems. As difficulty problem, most results are restricted to tripartite systems. Here we consider a weaker form called local distinguishability based genuine nonlocality. A said be genuinely nonlocal if it indistinguishable In this work, tend study latter First, present elegant bipartite indistinguishable. After that, on simple observation, general method construct sets by using those but with less parties. consequence, obtain exist all possible