Content

The application of superconducting circuits for the realization of future quantum electronics has attracted strong interest, in particular regarding the implementation of quantum information processing systems. Here, we address the physics of superconducting quantum circuits and show how such circuits can be implemented based on superconducting thin films and nanostructures. We also discuss applications of superconducting quantum circuits in the study of fundamental light-matter interaction, the realization of quantum information processing systems and in quantum simulation. Finally, we consider the field of quantum communication and sensing with propagating quantum microwaves emitted from superconducting circuits. All these fields are nowadays intensively studied in the cutting edge collaborative research projects (e.g. EU Quantum Flagship, Excellence Cluster MCQST, Munich Quantum Valley, among others).

Regarding the application of superconductivity in quantum electronics, the following specific topics will be addressed:

- introduction to secondary quantum effects;

- superconducting quantum circuits: from resonators to qubits;

- circuit Quantum electrodynamics: "Quantum optics on a chip";

- quantum information processing with superconducting circuits;

- propagating quantum microwaves;

- quantum microwave communication and cryptography;

- quantum illumination and remote sensing.

Learning outcome

After successful completion of the module the students are able to:

- to describe and explain the secondary macroscopic quantum effects in Josephson junctions;

- to explain the physical foundations of superconducting quantum circuits (resonators, quantum bits, circuit QED);

- to list the key features of quantum information processing with superconducting circuits;

- to describe the basic properties of propagating quantum microwaves;

- to describe basic quantum communication and sensing protocols.