The manipulation of topologically ordered phases of matter to encode and process quantum
information forms the cornerstone of many approaches to fault-tolerant quantum computing …

The color code is a topological quantum error-correcting code supporting a variety of
valuable fault-tolerant logical gates. Its two-dimensional version, the triangular color code …

Quantum technology has the transformative potential to impact various industries, including
consumer technology, by applying quantum systems. However, the quantum systems are …

One of the leading quantum computing architectures is based on the two-dimensional (2D)
surface code. This code has many advantageous properties such as a high error threshold …

Fracton topological phases have a large number of materialized symmetries that enforce a
rigid structure on their excitations. Remarkably, we find that the symmetries of a quantum …

Fault-tolerant logic gates will consume a large proportion of the resources of a two-
dimensional quantum computing architecture. Here we show how to perform a fault-tolerant …

We introduce an efficient decoder of the color code in $ d\geq 2$ dimensions, the Restriction
Decoder, which uses any $ d $-dimensional toric code decoder combined with a local lifting …

The color code is remarkable for its ability to perform fault-tolerant logic gates. This motivates
the design of practical decoders that minimize the resource cost of color-code quantum …

Solving for quantum error correction remains one of the key challenges of quantum
computing. Traditional decoding methods are limited by computing power and data scale …

We introduce quantum pin codes: a class of quantum CSS codes. Quantum pin codes are a
generalization of quantum color codes and Reed-Muller codes and share a lot of their …