Quantum error correction below the surface code threshold

R Acharya, L Aghababaie-Beni, I Aleiner… - arxiv preprint arxiv …, 2024 - arxiv.org
Quantum error correction provides a path to reach practical quantum computing by
combining multiple physical qubits into a logical qubit, where the logical error rate is …

Algorithmic fault tolerance for fast quantum computing

H Zhou, C Zhao, M Cain, D Bluvstein… - arxiv preprint arxiv …, 2024 - arxiv.org
Fast, reliable logical operations are essential for the realization of useful quantum
computers, as they are required to implement practical quantum algorithms at large scale …

[PDF][PDF] Creating entangled logical qubits in the heavy-hex lattice with topological codes

B Hetényi, JR Wootton - PRX Quantum, 2024 - APS
Designs for quantum error correction depend strongly on the connectivity of the qubits. For
solid-state qubits, the most straightforward approach is to have connectivity constrained to a …

Optimization of decoder priors for accurate quantum error correction

V Sivak, M Newman, P Klimov - Physical Review Letters, 2024 - APS
Accurate decoding of quantum error-correcting codes is a crucial ingredient in protecting
quantum information from decoherence. It requires characterizing the error channels …

Cross-Cap Defects and Fault-Tolerant Logical Gates in the Surface Code and the Honeycomb Floquet Code

R Kobayashi, G Zhu - PRX Quantum, 2024 - APS
We consider the Z 2 toric code, surface code, and Floquet code defined on a nonorientable
surface, which can be considered as families of codes extending Shor's nine-qubit code. We …

Fault-tolerant optical interconnects for neutral-atom arrays

J Sinclair, J Ramette, B Grinkemeyer… - arxiv preprint arxiv …, 2024 - arxiv.org
We analyze the use of photonic links to enable large-scale fault-tolerant connectivity of
locally error-corrected modules based on neutral atom arrays. Our approach makes use of …

Efficient fault-tolerant code switching via one-way transversal CNOT gates

S Heußen, J Hilder - arxiv preprint arxiv:2409.13465, 2024 - arxiv.org
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 …

Enhanced fault-tolerance in photonic quantum computing: Floquet code outperforms surface code in tailored architecture

P Hilaire, T Dessertaine, B Bourdoncle, A Denys… - arxiv preprint arxiv …, 2024 - arxiv.org
Fault-tolerant quantum computing is crucial for realizing large-scale quantum computation,
and the interplay between hardware architecture and quantum error-correcting codes is a …

Experimental demonstration of logical magic state distillation

PS Rodriguez, JM Robinson, PN Jepsen, Z He… - arxiv preprint arxiv …, 2024 - arxiv.org
Realizing universal fault-tolerant quantum computation is a key goal in quantum information
science. By encoding quantum information into logical qubits utilizing quantum error …

On the Constant Depth Implementation of Pauli Exponentials

I Moflic, A Paler - arxiv preprint arxiv:2408.08265, 2024 - arxiv.org
We decompose for the first time, under the very restrictive linear nearest-neighbour
connectivity, $ Z\otimes Z\ldots\otimes Z $ exponentials of arbitrary length into circuits of …