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

Robert Raussendorf; Dong Sheng Wang; Abhishodh Prakash; Tzu Chieh Wei; David T. Stephen

doi:10.1103/PhysRevA.96.012302

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

Robert Raussendorf
, Dong Sheng Wang
, Abhishodh Prakash
, Tzu Chieh Wei
, David T. Stephen

Institute for Theoretical Physics

University of British Columbia
Stony Brook University

Research output: Contribution to journal › Article › peer-review

44 Scopus citations

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.

Original language	English
Article number	012302
Journal	Physical Review A
Volume	96
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevA.96.012302
State	Published - Jul 5 2017

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10.1103/PhysRevA.96.012302

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title = "Symmetry-protected topological phases with uniform computational power in one dimension",

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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AU - Stephen, David T.

PY - 2017/7/5

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

Abstract

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