PIRSA:26050029 Conference Quantum Information

DOI10.48660/26050029

Conference/School: Physics of Quantum Information II

Shirley, W. (2026). Braided Fusion Complexes: An Algebraic Theory of Gapped Abelian Phases. Perimeter Institute. https://pirsa.org/26050029

Shirley, Wilbur. Braided Fusion Complexes: An Algebraic Theory of Gapped Abelian Phases. Perimeter Institute, May. 28, 2026, https://pirsa.org/26050029 

@misc{ pirsa_PIRSA:26050029,
  doi = {10.48660/26050029},
  url = {https://pirsa.org/26050029},
  author = {Shirley, Wilbur},
  keywords = {Quantum Information, Condensed Matter},
  language = {en},
  title = {Braided Fusion Complexes: An Algebraic Theory of Gapped Abelian Phases},
  publisher = {Perimeter Institute},
  year = {2026},
  month = {may},
  note = {PIRSA:26050029 see, \url{https://pirsa.org}}
}

Abstract

I will introduce the notion of a braided fusion complex --- a mathematical structure designed to encapsulate the universal fusion and braiding data of abelian excitations of gapped quantum phases. This structure provides a framework for characterizing and classifying fracton phases of matter.

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