Secure Communication over 1-2-1 Networks

In a companion paper available in [1], the authors examined the capacity of wireless networks that employ mmWave communication. An abstract model, referred to as Gaussian 1-2-1 network, was formulated, and min-cut bounds were derived along with achievable strategies. In this paper, the secure communication over Gaussian 1-2-1 networks is analyzed. First, the secure capacity is derived for Gaussian 1-2-1 networks where a source is connected to a destination through a network of unit capacity links. Then, lower and upper bounds on the secure capacity are derived for the case when source and destination have more than one beam, which allow them to transmit and receive in multiple directions at a time. Finally, results are presented for Gaussian diamond 1-2-1 networks when edges have different capacities.