Quantum error correction protocols will play a central role in the realisation of quantum
computing; the choice of error correction code will influence the full quantum computing …

A practical quantum computer must not merely store information, but also process it. To
prevent errors introduced by noise from multiplying and spreading, a fault-tolerant …

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 …

For the first time in history, we are seeing a branching point in computing paradigms with the
emergence of quantum processing units (QPUs). Extracting the full potential of computation …

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

We study classical and quantum LDPC codes of constant rate obtained by the lifted product
construction over non-abelian groups. We show that the obtained families of quantum LDPC …

The standard primitives of quantum computing include deterministic unitary entangling
gates, which are not natural operations in many systems including photonics. Here, we …

Performing large calculations with a quantum computer will likely require a fault-tolerant
architecture based on quantum error-correcting codes. The challenge is to design practical …

Tanner codes are long error correcting codes obtained from short codes and a graph, with
bits on the edges and parity-check constraints from the short codes enforced at the vertices …

Quantum error correction is an indispensable ingredient for scalable quantum computing. In
this Perspective we discuss a particular class of quantum codes called “quantum low-density …