Symmetry-protected topological phases with uniform computational power in one dimension

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  • University of British Columbia
  • Stony Brook University (SBU)
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Original languageEnglish
Article number012302
JournalPhysical Review A
Volume96
Issue number1
Publication statusPublished - 5 Jul 2017
Externally publishedYes

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 1, if an SPTO phase protects the identity gate, then, subject to an additional symmetry condition that is satisfied in all cases so far investigated, it can also be used for quantum computation.

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Cite this

Symmetry-protected topological phases with uniform computational power in one dimension. / Raussendorf, Robert; Wang, Dong Sheng; Prakash, Abhishodh et al.
In: Physical Review A, Vol. 96, No. 1, 012302, 05.07.2017.

Research output: Contribution to journalArticleResearchpeer review

Raussendorf R, Wang DS, Prakash A, Wei TC, Stephen DT. Symmetry-protected topological phases with uniform computational power in one dimension. Physical Review A. 2017 Jul 5;96(1):012302. doi: 10.1103/PhysRevA.96.012302
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