PIRSA:17060056

Symmetry-protected topological phases with uniform computational power in one

Raussendorf, R. (2017). Symmetry-protected topological phases with uniform computational power in one . Perimeter Institute. https://pirsa.org/17060056

Raussendorf, Robert. Symmetry-protected topological phases with uniform computational power in one . Perimeter Institute, Jun. 07, 2017, https://pirsa.org/17060056 

          @misc{ pirsa_PIRSA:17060056,
            doi = {10.48660/17060056},
            url = {https://pirsa.org/17060056},
            author = {Raussendorf, Robert},
            keywords = {Other},
            language = {en},
            title = {Symmetry-protected topological phases with uniform computational power in one },
            publisher = {Perimeter Institute},
            year = {2017},
            month = {jun},
            note = {PIRSA:17060056 see, \url{https://pirsa.org}}
          }

Robert Raussendorf

Leibniz University Hannover

Talk number
PIRSA:17060056
Collection
Talk Type
Subject
Abstract

We investigate the usefulness of ground states of quantum spin chains with symmetry-protected topological order (SPTO) for measurement-based quantum computation. We show that, in spatial dimension one, if an SPTO phase supports quantum wire, then, subject to an additional symmetry condition that is satisfied in all cases so far investigated, it can also be used for quantum computation. Joint work with Dongsheng Wang, Abhishodh Prakash, Tzu-Chieh Wei and David Stephen; See arXiv:1609.07549v1