In this work we consider quantum cascade networks in which quantum systems are connected through unidirectional channels that can mutually interact giving rise to interference effects. In particular we show how to compute master equations for cascade systems in an arbitrary interferometric configuration by means of a collisional model. We apply our general theory to two specific examples: the first consists of two systems arranged in a Mach-Zender-like configuration and the second is a three system network where it is possible to tune the effective chiral interactions between the nodes exploiting interference effects.
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