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Paper 1

A blueprint for fault-tolerant quantum computation with Rydberg atoms

James M. Auger, Silvia Bergamini, Dan E. Browne

Year
2017
Journal
arXiv preprint
DOI
arXiv:1707.06498
arXiv
1707.06498

We present a blueprint for building a fault-tolerant universal quantum computer with Rydberg atoms. Our scheme, which is based on the surface code, uses individually-addressable optically-trapped atoms as qubits and exploits electromagnetically induced transparency to perform the multi-qubit gates required for error correction and computation. We discuss the advantages and challenges of using Rydberg atoms to build such a quantum computer, and we perform error correction simulations to obtain an error threshold for our scheme. Our findings suggest that Rydberg atoms are a promising candidate for quantum computation, but gate fidelities need to improve before fault-tolerant universal quantum computation can be achieved.

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Paper 2

Localization of low-energy eigenfunctions in Seba billiards

Minjae Lee

Year
2014
Journal
arXiv preprint
DOI
arXiv:1407.7077
arXiv
1407.7077

We investigate localization of low-energy modes of the Laplacian with a point scatterer on a rectangular plate. We observe that the point scatterer acts as a barrier confining the low-level modes to one side of the plate while assuming the Dirichlet boundary condition at a point does not induce this type of localization. This low-energy phenomenon extends to higher modes as we increase the eccentricity of the plate.

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