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

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 …

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 …

After two decades of development, cavity quantum electrodynamics with superconducting
circuits has emerged as a rich platform for quantum computation and simulation. Lattices of …

The Laplace operator encodes the behavior of physical systems at vastly different scales,
describing heat flow, fluids, as well as electric, gravitational, and quantum fields. A key input …

In order to build a large scale quantum computer, one must be able to correct errors
extremely fast. We design a fast decoding algorithm for topological codes to correct for Pauli …

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 …

Vast numbers of qubits will be needed for large-scale quantum computing because of the
overheads associated with error correction. We present a scheme for low-overhead fault …

Quantum low density parity check (LDPC) codes may provide a path to build low-overhead
fault-tolerant quantum computers. However, as general LDPC codes lack geometric …

We study Anderson localization in disordered tight-binding models on hyperbolic lattices.
Such lattices are geometries intermediate between ordinary two-dimensional crystalline …