PIRSA:15080123 Scientific Series Condensed Matter

DOI10.48660/15080123

Series: Quantum Matter

Verstraete, F. (2015). Matrix product operators and topological quantum order. Perimeter Institute. https://pirsa.org/15080123

Verstraete, Frank. Matrix product operators and topological quantum order. Perimeter Institute, Aug. 24, 2015, https://pirsa.org/15080123 

@misc{ pirsa_PIRSA:15080123,
  doi = {10.48660/15080123},
  url = {https://pirsa.org/15080123},
  author = {Verstraete, Frank},
  keywords = {Condensed Matter},
  language = {en},
  title = {Matrix product operators and topological quantum order},
  publisher = {Perimeter Institute},
  year = {2015},
  month = {aug},
  note = {PIRSA:15080123 see, \url{https://pirsa.org}}
}

Abstract

Matrix product operators form a natural language for describing topological quantum order. I will discuss how they arise as symmetries in PEPS, how anyon excitations arise as end points on them, and how the virtual indices of the MPO's provide a tensor product structure for the logical qubits in topological quantum computation.

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