PIRSA:15080123

Matrix product operators and topological quantum order

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}}
          }

Frank Verstraete Ghent University

DOI 10.48660/15080123
Collection
Talk Type Scientific Series
Subject

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.