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 …

Bosonic quantum error correction is a viable option for realizing error-corrected quantum
information processing in continuous-variable bosonic systems. Various single-mode …

As increasingly sophisticated prototypes of quantum computers are being developed, a
pressing challenge is to find computational problems that can be solved by an intermediate …

Here we explore which heuristic quantum algorithms for combinatorial optimization might be
most practical to try out on a small fault-tolerant quantum computer. We compile circuits for …

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 …

Fracton phases exhibit striking behavior which appears to render them beyond the standard
topological quantum field theory (TQFT) paradigm for classifying gapped quantum matter …

A leading choice of error correction for scalable quantum computing is the surface code with
lattice surgery. The basic lattice surgery operations, the merging and splitting of logical …

A bstract This is the first part of a two-part work on a unified mathematical theory of gapped
and gapless edges of 2d topological orders. We analyze all the possible observables on the …

We study the code obtained by concatenating the standard single-mode Gottesman-Kitaev-
Preskill (GKP) code with the surface code. We show that the noise tolerance of this surface …

We apply deep reinforcement learning techniques to design high threshold decoders for the
toric code under uncorrelated noise. By rewarding the agent only if the decoding procedure …