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arXiv · 1409.6242

Resource quality of a symmetry-protected topologically ordered phase for quantum computation

Jacob Miller·Akimasa Miyake
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Abstract

We investigate entanglement naturally present in the 1D topologically ordered phase protected with the on-site symmetry group of an octahedron as a potential resource for teleportation-based quantum computation. We show that, as long as certain characteristic lengths are finite, all its ground states have the capability to implement any unit-fidelity one-qubit gate operation asymptotically as a key computational building block. This feature is intrinsic to the entire phase, in that perfect gate fidelity coincides with perfect string order parameters under a state-insensitive renormalization procedure. Our approach may pave the way toward a novel program to classify quantum many-body systems based on their operational use for quantum information processing.

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Jacob Miller, Akimasa Miyake. 2015-03-27. Resource quality of a symmetry-protected topologically ordered phase for quantum computation. https://doi.org/10.1103/physrevlett.114.120506

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