Outer Bounds for the Capacity Region of Gaussian Interference Channels with Common Information

Four outer bounds are given for the weak and mixed interference cases, all derived from existing outer bounds for the classic interference channel: a) Carleial´s outer bound, b) Kramer´s genie aided approach that gives both receivers enough information to decode all the messages, c) Kramer´s Z-channel based outer bound, d) a recent outer bound proposed in [1]. We show that b) unified and improves a) and the existing outer bound by Tan (1980); c) further improves upon b); c) and d) do not have a subset relation.