  We demonstrate that the non-Hermitian Hamiltonian approach can be used as a
universal tool to design and describe a performance of single photon quantum
electrodynamical circuits(cQED). As an example of the validity of this method,
we calculate a novel six port quantum router, constructed from 4 qubits and 3
open waveguides. We have got analytical expressions, which describe the
transmission and reflection coefficients of a single photon in general form
taking into account the non-uniform qubit's parameters. We show that, due to
naturally derived interferences, it is possible to tune the probability of
photon detection in different ports in-situ.
