Symmetry-protected topological phases with uniform computational power in one dimension
Robert Raussendorf, Dongsheng Wang, Abhishodh Prakash, Tzu-Chieh Wei,, David Stephen
TL;DR
This paper explores how ground states of one-dimensional quantum spin chains with symmetry-protected topological order can serve as resources for measurement-based quantum computation, given certain symmetry conditions.
Contribution
It demonstrates that one-dimensional SPTO phases capable of supporting quantum wires can also be used for quantum computation under specific symmetry constraints.
Findings
SPTO phases support quantum wire in 1D
Additional symmetry condition enables quantum computation
Applicable to all cases investigated so far
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.
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