PIRSA:17070066 Conference Quantum Foundations Quantum Information

DOI10.48660/17070066

Conference/School: Hopf Algebras in Kitaev's Quantum Double Models: Mathematical Connections from Gauge Theory to Topological Quantum Computing and Categorical Quantum Mechanics

Gaiotto, D. (2017). Gapped phases of matter vs. Topological field theories. Perimeter Institute. https://pirsa.org/17070066

Gaiotto, Davide. Gapped phases of matter vs. Topological field theories. Perimeter Institute, Jul. 31, 2017, https://pirsa.org/17070066 

@misc{ pirsa_PIRSA:17070066,
  doi = {10.48660/17070066},
  url = {https://pirsa.org/17070066},
  author = {Gaiotto, Davide},
  keywords = {Quantum Foundations, Quantum Information},
  language = {en},
  title = {Gapped phases of matter vs. Topological field theories},
  publisher = {Perimeter Institute},
  year = {2017},
  month = {jul},
  note = {PIRSA:17070066 see, \url{https://pirsa.org}}
}

Abstract

I will discuss the relation between topological field theories and gapped phases of matter. I will propose a general formalism to define a class of TFTs which can be realized by commuting projector Hamiltonians. This allows one to apply rigorous mathematical theorems about TFTs to gapped phases of matter. I will also discuss the role of generalized cohomology theories and spectra in the classification of SPT phases.

Resources

Next talk

Related Talks