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Constructions and Noise Threshold of Topological Subsystem Codes
Martin Suchara, Sergey Bravyi, Barbara M. Terhal
Topological subsystem codes proposed recently by Bombin are quantum error correcting codes defined on a two-dimensional grid of qubits that permit reliable quantum information stor…
Topological order in an exactly solvable 3D spin model
Sergey Bravyi, Bernhard Leemhuis, Barbara M. Terhal
We study a 3D generalization of the toric code model introduced recently by Chamon. This is an exactly solvable spin model with six-qubit nearest neighbor interactions on an FCC la…
Majorana Fermion Codes
Sergey Bravyi, Bernhard Leemhuis, Barbara M. Terhal
We initiate the study of Majorana fermion codes. These codes can be viewed as extensions of Kitaev's 1D model of unpaired Majorana fermions in quantum wires to higher spatial dimen…