The accumulation of physical errors,–prevents the execution of large-scale algorithms in
current quantum computers. Quantum error correction promises a solution by encoding k …

Quantum low-density parity-check (qLDPC) codes can achieve high encoding rates and
good code distance scaling, potentially enabling low-overhead fault-tolerant quantum …

Building a large-scale quantum computer requires effective strategies to correct errors that
inevitably arise in physical quantum systems. Quantum error-correction codes present a way …

We construct families of Floquet codes derived from color-code tilings of closed hyperbolic
surfaces. These codes have weight-two check operators, a finite encoding rate and can be …

Fast, reliable logical operations are essential for the realization of useful quantum
computers, as they are required to implement practical quantum algorithms at large scale …

Quantum Tanner codes constitute a family of quantum low-density parity-check codes with
good parameters, ie, constant encoding rate and relative distance. In this article, we prove …

The surface code is a quantum error-correcting code for one logical qubit, protected by
spatially localized parity checks in two dimensions. Due to fundamental constraints from …

In efforts to scale the size of quantum computers, modularity plays a central role across most
quantum computing technologies. In the light of fault tolerance, this necessitates designing …

It is well understood that a two-dimensional grid of locally interacting qubits is a promising
platform for achieving fault-tolerant quantum computing. However in the near future, it may …

Quantum error correcting codes can enable large quantum computations provided physical
error rates are sufficiently low. We combine post-selection with surface code error correction …