## Latent Computational Complexity of Symmetry-Protected Topological Order with Fractional Symmetry.

- Jacob Miller, Akimasa Miyake
- Physical review letters
- 2018

The two-dimensional cluster state, a universal resource for measurement-based quantum computation, is also the gapped ground state of a short-ranged Hamiltonian. Here, we examine the effect of perturbations to this Hamiltonian. We prove that, provided the perturbation is sufficiently small and respects a certain symmetry, the perturbed ground state remains… (More)

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