We propose an implementation of bivariate bicycle codes (Nature {\bf 627}, 778 (2024))
based on long-range Rydberg gates between stationary neutral atom qubits. An optimized …

Transitioning from quantum computation on physical qubits to quantum computation on
encoded, logical qubits can improve the error rate of operations, and will be essential for …

In this paper, we introduce the gauge-fixed QLDPC surgery scheme, an improved logical
measurement scheme based on the construction of Cohen et al.~(Sci.~ Adv.~ 8, eabn1717) …

Code switching is an established technique that facilitates a universal set of FT quantum
gate operations by combining two QEC codes with complementary sets of gates, which each …

Phases of matter with robust ground-state degeneracy, such as the quantum toric code, are
known to be capable of robust quantum information storage. Here, we address the converse …

We develop a unified theory for fault-tolerant quantum computation in quantum low-density
parity-check (qLDPC) and topological codes. We show that there exist hidden simplicial …

We propose an implementation of bivariate bicycle codes [S. Bravyi, Nature (London) 627,
778 (2024) 0028-0836 10.1038/s41586-024-07107-7] based on long-range Rydberg gates …

We propose schemes capable of measuring an arbitrary set of commutative logical Pauli
operators in time independent of the number of operators. The only condition is …

Quantum error correction plays a prominent role in the realization of quantum computation,
and quantum low-density parity-check (qLDPC) codes are believed to be practically useful …

Device error rates on current quantum computers have improved enough to where
demonstrations of error correction below break-even are now possible. Still, the circuits …