Entangled quantum microwaves:continuous variables for remote state preparation and quantum illumination

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The field of solid-state quantum information processing rapidly developed during the last decade. In particular, superconducting circuits demonstrated outstanding properties and serve as a platform for all kinds of quantum experiments in the microwave regime. The microwave domain offers exceptional advantages for quantum simulation, quantum communication, and quantum sensing. Due to recent technical and fundamental achievements it is possible now to move towards quantum information processing with propagating quantum photons in the form of squeezed microwaves. We propose experiments with entangled quantum microwaves towards remote state preparation (RSP) and quantum teleportation. We want to employ squeezed microwaves as continuous-variable states for RSP. These states are typically generated by Josephson parametric amplifiers (JPA) implemented by superconducting circuit technology. We plan to study general aspects of RSP physics, such as correlation times of two-mode squeezed states, or displacement operations with squeezed states, and apply them to particular problems such as quantum teleportation with continuous variables in the microwave domain and quantum illumination experiments. Quantum teleportation is one the cornerstones of quantum communication and allows one to safely transmit an unknown quantum state. The quantum illumination idea was proposed recently as a particular application of entangled photon states for sensing of low reflectivity objects. It claims that it is possible to achieve a signal enhancement up to the factor of 4 in power with entangled photons states over classical ones.