Quantum Channels Capacities
Both discrete and continuous quantum channels (maps on the set of quantum states of a system) are characterized in terms of capacities, i.e. maximum rates at which either classical or quantum information can be reliably transmitted. Emphasis is on maps that show memory effects among different uses.

Quantum Control and Error Correction
Quantum feedback control is studied with the objective of optimizing measurement and actuation maps accordingly to the system properties and to the goal to be reached. This latter could also be errors correction. Within proper quantum error correction theory, efforts are devoted to design new codes based on embedding mechanisms as well as to design codes suitable for correlated errors.

Entanglement Characterization
Entanglement in quantum networks is characterized by using different figures of merit (entropic, geometric, etc.). In dynamical systems, attention is devoted to the stationary properties of entanglement as well as to its relativistic transformation features. Furthermore, protocols for entanglement manipulation (distillation and/or dilution) are investigated.

Information Geometry
Information geometry is used together with inference methods to describe complex systems. Extension of information geometric techniques to the quantum domain is pursued. This includes applications to quantum computation where computational complexity can be related to geometric features.

Quantum Cryptography
Novel quantum key distribution protocols that make a two-way usage of the quantum channel are studied. They are considered in various contexts involving different alphabets and/or Hilbert spaces with the goal of determining their security levels. Applications of such protocols to other cryptographic tasks beyond key distribution are also pursued.