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.
@article{arxiv.1812.06716,
title = {Universal tool for single-photon circuits: quantum router design},
author = {A. N. Sultanov and Ya. S. Greenberg and E. A. Mutsenik and D. K. Pitsun and E. Il'ichev},
journal= {arXiv preprint arXiv:1812.06716},
year = {2018}
}