Circuits for Josephson Parametric Amplification in Quantum Radar

Joesphson parametric amplifiers (JPA), operating in the microwave regime, are a key component for quantum radar. A Josephson junction can combine the functions of local oscillator, mixer, amplifier and detector. For quantum radar based on two-mode squeezed vacuum states (TMSV), the Josephson devices perform squeezed state generation and mixing, for subsequent photon counting and hypothesis testing. In this contribution, we investigate quantum circuit for modeling of JPAs.