Speaker: Roberto Baldijão (ICTQT – Univerisity of Gdańsk)
Abstract
In this talk, I will present two project ideas I think will be nice to work on. The first idea is to analyze Objectivity of Observables in the framework of generalized probabilistic theories (GPTs). Objectivity of Observables was first proven by Brandão, Piani and Horodecki for quantum theory; it states that after a system S interacts with many other systems (for any interaction), the information about S stored in these other systems is typically represented by one observable acting on S. This was a huge step for the quantum Darwinism program, as an explanation for the emergence of a classical world.
The second idea is to explore features of non-locally tomographic GPTs. In these kinds of theories, processes cannot be determined when probed by local processes — one must always have access to some global degrees of freedom to fully characterize a process. In the talk, I will use entanglement and monogamy of entanglement in these theories to exemplify why I think there is much there to explore. Finally, if there is some time, I can explain intuitively how these two projects might be connected. The spirit of the talk is mainly to describe these ideas and collaborate with whomever would like to work on them. So, if you like any of these problems, please join me in these attempts 😀
