Auflistung Fakultät für Mathematik und Physik nach Autor/in "c4bd22e1-d74a-4679-aa50-97b6feb69d3b"

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Generalized cluster states based on finite groups

Brell, Courtney G. (Bristol : IOP Publishing Ltd., 2015-02-10)

We define generalized cluster states based on finite group algebras in analogy to the generalization of the toric code to the Kitaev quantum double models. We do this by showing a general correspondence between systems ...
Generalized color codes supporting non-Abelian anyons

Brell, Courtney G. (College Park, MD : American Physical Society, 2015)

We propose a generalization of the color codes based on finite groups G. For non-Abelian groups, the resulting model supports non-Abelian anyonic quasiparticles and topological order. We examine the properties of these ...
Perturbative 2-body parent Hamiltonians for projected entangled pair states

Brell, Courtney G.; Bartlett, Stephen D.; Doherty, Andrew C. (Bristol : IOP Publishing Ltd., 2014-12-22)

We construct parent Hamiltonians involving only local 2-body interactions for a broad class of projected entangled pair states (PEPS). Making use of perturbation gadget techniques, we define a perturbative Hamiltonian ...
A proposal for self-correcting stabilizer quantum memories in 3 dimensions (or slightly less)

Brell, Courtney G. (Bristol : IOP Publishing Ltd., 2016-01-25)

We propose a family of local CSS stabilizer codes as possible candidates for self-correcting quantum memories in 3D. The construction is inspired by the classical Ising model on a Sierpinski carpet fractal, which acts as ...

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