Logical quantum processor based on reconfigurable atom arrays

D Bluvstein, SJ Evered, AA Geim, SH Li, H Zhou… - Nature, 2024 - nature.com
Suppressing errors is the central challenge for useful quantum computing, requiring
quantum error correction (QEC),,,–for large-scale processing. However, the overhead in the …

Demonstration of logical qubits and repeated error correction with better-than-physical error rates

A Paetznick, MP da Silva, C Ryan-Anderson… - arxiv preprint arxiv …, 2024 - arxiv.org
The promise of quantum computers hinges on the ability to scale to large system sizes, eg,
to run quantum computations consisting of more than 100 million operations fault-tolerantly …

High-fidelity teleportation of a logical qubit using transversal gates and lattice surgery

C Ryan-Anderson, NC Brown, CH Baldwin, JM Dreiling… - Science, 2024 - science.org
Quantum state teleportation is commonly used in designs for large-scale quantum
computers. Using Quantinuum's H2 trapped-ion quantum processor, we demonstrate fault …

Correlated decoding of logical algorithms with transversal gates

M Cain, C Zhao, H Zhou, N Meister, JPB Ataides… - Physical Review Letters, 2024 - APS
Quantum error correction is believed to be essential for scalable quantum computation, but
its implementation is challenging due to its considerable space-time overhead. Motivated by …

Perturbative Stability and Error-Correction Thresholds of Quantum Codes

Y Li, N O'Dea, V Khemani - PRX Quantum, 2025 - APS
Topologically ordered phases are stable to local perturbations, and topological quantum
error-correcting codes enjoy thresholds to local errors. We connect the two notions of …

Improved pairwise measurement-based surface code

L Grans-Samuelsson, RV Mishmash, D Aasen… - Quantum, 2024 - quantum-journal.org
We devise a new realization of the surface code on a rectangular lattice of qubits utilizing
single-qubit and nearest-neighbor two-qubit Pauli measurements and three auxiliary qubits …

Single-shot and measurement-based quantum error correction via fault complexes

T Hillmann, G Dauphinais, I Tzitrin… - arxiv preprint arxiv …, 2024 - arxiv.org
Photonics provides a viable path to a scalable fault-tolerant quantum computer. The natural
framework for this platform is measurement-based quantum computation, where fault …

Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases

AR Negari, TD Ellison, TH Hsieh - arxiv preprint arxiv:2412.00193, 2024 - arxiv.org
We establish a correspondence between the fault-tolerance of local stabilizer codes
experiencing measurement and physical errors and the mixed-state phases of decohered …

A fault-tolerant pairwise measurement-based code on eight qubits

L Grans-Samuelsson, D Aasen… - arxiv preprint arxiv …, 2024 - arxiv.org
We construct a pairwise measurement-based code on eight qubits that is error correcting for
circuit noise, with fault distance 3. The code can be implemented on a subset of a …

Low-density parity-check representation of fault-tolerant quantum circuits

Y Li - Physical Review Research, 2025 - APS
In fault-tolerant quantum computing, quantum algorithms are implemented through quantum
circuits capable of error correction. These circuits are typically constructed based on specific …