  Recent experimental advancements in dissipation control have yielded
significant insights into non-hermitian Hamiltonians for open quantum systems.
Of particular interest are the topological characteristics exhibited by these
non-hermitian systems, that arise from exceptional points - distinct
degeneracies unique to such systems. In this study, we focus on Andreev bound
states in multiterminal Josephson junctions with non-hermiticity induced by
normal metal or ferromagnetic leads. By investigating several systems of
different synthetic dimensions and symmetries, we predict fragile and stable
non-hermitian topological phases in these engineered superconducting systems.
