To use quantum systems for technological applications one first needs to preserve their
coherence for macroscopic time scales, even at finite temperature. Quantum error correction …

This review presents an entry-level introduction to topological quantum computation--
quantum computing with anyons. We introduce anyons at the system-independent level of …

We study the robustness of a generalized Kitaev's toric code with Z_N degrees of freedom in
the presence of local perturbations. For N= 2, this model reduces to the conventional toric …

We explore the feasibility of a quantum self-correcting memory based on 3D spin
Hamiltonians with topological quantum order in which thermal diffusion of topological …

The ability to store information is of fundamental importance to any computer, be it classical
or quantum. To identify systems for quantum memories, which rely, analogously to classical …

Anderson localization emerges in quantum systems when randomized parameters cause
the exponential suppression of motion. Here we consider this phenomenon in topological …

We consider a refined version of the string-net model which assigns a different energy cost
to each plaquette excitation. Using recent exact calculations of the energy-level …

Subsystem quantum error-correcting codes typically involve measuring a sequence of
noncommuting parity check operators. They can sometimes exhibit greater fault tolerance …

This thesis addresses whether it is possible to build a robust memory device for quantum
information. Many schemes for fault-tolerant quantum information processing have been …

The quantum spin liquid is an enigmatic entity that is often hard to characterize within the
conventional framework of condensed matter physics. We here present theoretical and …