Active quantum error correction using qubit stabilizer codes has emerged as a promising,
but experimentally challenging, engineering program for building a universal quantum …

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 …

Topological quantum memory can protect information against local errors up to finite error
thresholds. Such thresholds are usually determined based on the success of decoding …

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 consider Kitaev's quantum double model based on a finite group $ G $ and describe
quantum circuits for (a) preparation of the ground state,(b) creation of anyon pairs separated …

Topological quantum computers promise a fault tolerant means to perform quantum
computation. Topological quantum computers use particles with exotic exchange statistics …

Non-Abelian optics has emerged as a promising research field with the potential to
revolutionize our understanding of light–matter interactions and enable new applications in …

The effect of decoherence on topological order (TO) has been most deeply understood for
the toric code, the paragon of Abelian TOs. We show that certain non-Abelian TOs can be …

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 …

We investigate the self-correcting properties of a network of Majorana wires, in the form of a
trijunction, in contact with a parity-preserving thermal environment. As opposed to the case …