A Systems Theory Approach to the Synthesis of Minimum Noise Non-Reciprocal Phase-Insensitive Quantum Amplifiers
Ian R. Petersen, M. R. James, Valery Ugrinovskii, Naoki Yamamoto · 2020
We present a systems theory approach to finding the minimum required level of added quantum noise in a nonreciprocal phase-insensitive quantum amplifier. We also present a synthesis procedure for constructing a quantum optical nonreciprocal phase-insensitive quantum amplifier which adds the minimum level of quantum noise and achieves a required gain and bandwidth. This synthesis procedure is based on a singularly perturbed quantum system involving the broadband approximation of a Bogoliubov transformation and leads to an amplifier involving three squeezers and six beamsplitters.