PIRSA:23010101 Scientific Series Quantum Foundations

DOI10.48660/23010101

Series: Quantum Foundations

Tibau Vidal, N. (2023). Anyonic information theory and quantum foundations. Perimeter Institute. https://pirsa.org/23010101

Tibau Vidal, Nicetu. Anyonic information theory and quantum foundations. Perimeter Institute, Jan. 20, 2023, https://pirsa.org/23010101 

@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}}
}

Abstract

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

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