Talk by ANICET TIBAU VIDAL: Anyonic information theory and quantum foundations
First, the theory of 2+1 D non-abelian anyons will be introduced. The newly discovered notion of anyonic creation operators will be presented, as well as their use as local elements of reality within the Deutsch-Hayden interpretation of quantum mechanics. The relationship between anyonic systems and quantum reference frames will be explored, concretely in the area of subsystem relativity. Lastly, I will present the strange properties of anyonic entanglement, such as the different spectra of marginals in bipartite systems. This property makes the Von Neumann entropy a bad entanglement measure. I will explain the challenges of defining entanglement measures for anyonic systems and current approaches.
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