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 …

The color code is both an interesting example of an exactly solved topologically ordered
phase of matter and also among the most promising candidate models to realize fault …

Qudit toric codes are a natural higher-dimensional generalization of the well-studied qubit
toric code. However, standard methods for error correction of the qubit toric code are not …

A self-correcting quantum memory can store and protect quantum information for a time that
increases without bound with the system size and without the need for active error …

Hard-decision renormalization group (HDRG) decoders are an important class of decoding
algorithms for topological quantum error correction. Due to their versatility, they have been …

Recent work [MJ Gullans, Phys. Rev. X 11, 031066 (2021) 2160-3308 10.1103/PhysRevX.
11.031066] has shown that quantum error correcting codes defined by random Clifford …

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 …

We enquire into the quasi many-body localization in topologically ordered states of matter,
revolving around the case of Kitaev toric code on the ladder geometry, where different types …

A binary interface defect is any interface between two (not necessarily invertible) domain
walls. We compute all possible binary interface defects in Kitaev's Z/p Z model and all …