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arXiv · 1601.05288

An Invitation to the Mathematics of Topological Quantum Computation

Eric C. Rowell
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Abstract

Two-dimensional topological states of matter offer a route to quantum computation that would be topologically protected against the nemesis of the quantum circuit model: decoherence. Research groups in industry, government and academic institutions are pursuing this approach. We give a mathematician's perspective on some of the advantages and challenges of this model, highlighting some recent advances. We then give a short description of how we might extend the theory to three-dimensional materials.

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Eric C. Rowell. 2016-01-20. An Invitation to the Mathematics of Topological Quantum Computation. https://doi.org/10.1088/1742-6596%2F698%2F1%2F012012

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