Associated to every finite group, Kitaev has defined the quantum double model for every
orientable surface without boundary. In this paper, we define boundaries for this model and …

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 …

Topological quantum computing (QC) is a way of allowing precise quantum computations to
run on noisy and imperfect hardware. One implementation uses surface codes created by …

In this paper we demonstrate how data encoded in a five-qubit quantum error correction
code can be converted, fault-tolerantly, into a seven-qubit Steane code. This is achieved by …

This thesis studies the structure of condensed matter phases with nonchiral topological
order. It is shown that previously known fixed point models of such phases describe the …

Topologically ordered phases of matter are quantum liquids with a non-local quantum order.
Because of their unique properties due to the non-local quantum entanglement present in …

Quantum computers are machines that manipulate quantum information stored in the form of
qubits, the quantum analogue to the classical bit. Unlike the bit, quantum mechanics allows …

L'encodage topologique de l'information quantique a attiré beaucoup d'attention, car c'est un
modèle qui semble propice à résister aux erreurs locales. Tout d'abord, le modèle du calcul …