English

Experiments with the 4D Surface Code on a QCCD Quantum Computer

Quantum Physics 2025-01-15 v2

Abstract

Single-shot quantum error correction has the potential to speed up quantum computations by removing the need for multiple rounds of syndrome extraction in order to be fault-tolerant. Using Quantinuum's H2 trapped-ion quantum computer, we implement the [[33,1,4]] 4D surface code and perform the first experimental demonstration of single-shot quantum error correction with bare ancilla qubits. We conduct memory experiments comparing the 2D and 4D surface codes and find that despite differences in qubit use and syndrome extraction circuit depth, the 4D surface code matches or outperforms the 2D surface code in both the fault-tolerant and single-shot regimes.

Keywords

Cite

@article{arxiv.2408.08865,
  title  = {Experiments with the 4D Surface Code on a QCCD Quantum Computer},
  author = {Noah Berthusen and Joan Dreiling and Cameron Foltz and John P. Gaebler and Thomas M. Gatterman and Dan Gresh and Nathan Hewitt and Michael Mills and Steven A. Moses and Brian Neyenhuis and Peter Siegfried and David Hayes},
  journal= {arXiv preprint arXiv:2408.08865},
  year   = {2025}
}

Comments

v2: Accepted to PRA. Added referee suggestions

R2 v1 2026-06-28T18:14:56.383Z