Noise and information, often believed to be opposite notions, have a common denominator: stochastic processes. Depending on his interest, an observer may regard a stochastic process either as a noise or an information source. At the heart of any stochastic process is randomness, which naturally embeds the idea of “many possibilities”; hence the notion of complexity. In recent years, these concepts have been extended all the way down from the microorganism to the quantum scales, thus unveiling a variety of intriguing phenomena with applications to bio- and nano-technology.
Stochastic processes: stochastic resonance, noise rectification, noise harvesting. Active matter: modeling, particle clustering and segregation, microfluidics. Disordered systems: anomalous diffusion, transport in crowded environments. Complex systems: coupled nonlinear oscillators, turbulence, multi-agent models.
Quantum stochastic maps: discrete and continuous channel; channel capacities, quantum error correcting theory, quantum cryptography.
Entanglement: classification and measures, distillation and dilution, stationarity in dynamical systems; relativistic properties.
Information geometry: geometric structure of statistical models, statistical inference and differential geometry; geometry of quantum states.
|Compulsory||30||Advanced electromagnetism (6 CFU)|
|Advanced physics laboratory (6 CFU)|
|Machine learning (6 CFU)|
|Solid state physics (6 CFU)|
|Theoretical physics (6 CFU)|
|Recommended||30||Advanced probability and stochastic processes (6 CFU)|
|Quantum field theory (6 CFU)|
|Statistical mechanics (6 CFU)|
|Quantum information (6 CFU)|
|Biological physics (6 CFU)|
|Elective||12 only||Condensed matter theory (6 CFU)|
|General relativity (6 CFU)|
|Quantum computation (6 CFU)|
|Dynamic and stochastic optimization (6 CFU)|
(*) Students are allowed to take up to 24 CFU, free of tuition fees, at the University of Milano (Università Statale) including courses, stages, and thesis preparation (see https://www.unimi.it/it/corsi/corsi-di-laurea/fisica-magistrale for details).
For any information about this track including specific choices of the modules please contact:
Fabio Marchesoni - firstname.lastname@example.org