Given a quantum gate circuit, how does one execute it in a fault-tolerant architecture with as
little overhead as possible? In this paper, we discuss strategies for surface-code quantum …

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 …

Useful fault-tolerant quantum computers require very large numbers of physical qubits.
Quantum computers are often designed as arrays of static qubits executing gates and …

We propose a new model of quantum computation comprised of low-weight measurement
sequences that simultaneously encode logical information, enable error correction, and …

D topological phases of matter can host a broad class of non-trivial topological defects of
codimension-1, 2, and 3, of which the well-known point charges and flux loops are special …

Floquet codes are a recently discovered type of quantum error correction code. They can be
thought of as generalising stabilizer codes and subsystem codes, by allowing the logical …

Fault-tolerant quantum computing promises significant computational speedup over
classical computing for a variety of important problems. One of the biggest challenges for …

We simulate the logical Hadamard gate in the surface code under a circuit-level noise
model, compiling it to a physical circuit on square-grid connectivity hardware. Our paper is …

Finding optimal correction of errors in generic stabilizer codes is a computationally hard
problem, even for simple noise models. While this task can be simplified for codes with some …