PIRSA:19110134 Conference Quantum Information

DOI10.48660/19110134

Conference/School: Symmetry, Phases of Matter, and Resources in Quantum Computing

Wong, G. (2019). Entanglement and extended conformal field theory (or how to get a tensor network from a CFT path integral) . Perimeter Institute. https://pirsa.org/19110134

Wong, Gabriel. Entanglement and extended conformal field theory (or how to get a tensor network from a CFT path integral) . Perimeter Institute, Nov. 29, 2019, https://pirsa.org/19110134 

@misc{ pirsa_PIRSA:19110134,
  doi = {10.48660/19110134},
  url = {https://pirsa.org/19110134},
  author = {Wong, Gabriel},
  keywords = {Quantum Information},
  language = {en},
  title = {Entanglement and extended conformal field theory (or how to get a tensor network from a CFT path integral)~},
  publisher = {Perimeter Institute},
  year = {2019},
  month = {nov},
  note = {PIRSA:19110134 see, \url{https://pirsa.org}}
}

Abstract

In a continuum field theory the Hilbert space does not factorize into local tensor products. How then can we define entanglement and the basic protocols of quantum information theory? In this talk we will show how the factorization problem can be solved in a class of 2D conformal field theories by directly appealing to the fusion rules. The solution suggests a tensor network description of a CFT path integral using the OPE data.

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