Quantum computers can be protected from noise by encoding the logical quantum
information redundantly into multiple qubits using error-correcting codes,. When …

We present a comprehensive architectural analysis for a proposed fault-tolerant quantum
computer based on cat codes concatenated with outer quantum error-correcting codes. For …

While quantum computers promise to solve some scientifically and commercially valuable
problems thought intractable for classical machines, delivering on this promise will require a …

To run large-scale algorithms on a quantum computer, error-correcting codes must be able
to perform a fundamental set of operations, called logic gates, while isolating the encoded …

In this work we introduce two code families, which we call the heavy-hexagon code and the
heavy-square code. Both code families are implemented by assigning physical data and …

Quantum error correction is essential for mitigating hardware errors in quantum computers
by encoding logical information into several physical qubits. However, no single error …

The typical time-independent view of quantum error correction (QEC) codes hides significant
freedom in the decomposition into circuits that are executable on hardware. Using the …

Quantum error correction requires the detection of errors via reliable measurements of
multiqubit correlation operators. As these operations are inherently faulty, fault-tolerant …

Lattice-surgery protocols allow for the efficient implementation of universal gate sets with two-
dimensional topological codes where qubits are constrained to interact with one another …

Despite significant overhead reductions since its first proposal, magic state distillation is
often considered to be a very costly procedure that dominates the resource cost of fault …