Anyonic information theory and quantum foundations
APA
Tibau Vidal, N. (2023). Anyonic information theory and quantum foundations. Perimeter Institute. https://pirsa.org/23010101
MLA
Tibau Vidal, Nicetu. Anyonic information theory and quantum foundations. Perimeter Institute, Jan. 20, 2023, https://pirsa.org/23010101
BibTex
@misc{ pirsa_PIRSA:23010101, doi = {10.48660/23010101}, url = {https://pirsa.org/23010101}, author = {Tibau Vidal, Nicetu}, keywords = {Quantum Foundations}, language = {en}, title = {Anyonic information theory and quantum foundations}, publisher = {Perimeter Institute}, year = {2023}, month = {jan}, note = {PIRSA:23010101 see, \url{https://pirsa.org}} }
In this talk, I present the latest works on anyonic information theory and how it is linked to aspects of 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. Lastly, I will show strange properties of anyonic entanglement that appear due to the lack of a tensor product structure, 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.
Zoom link: https://pitp.zoom.us/j/99863263804?pwd=MUhkYTBzcUlwTmJ0Z3F4aFo3Rkt6QT09