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

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arxiv 2408.08865 v2 pith:DYIADBYE submitted 2024-08-16 quant-ph

Noah Berthusen , Joan Dreiling , Cameron Foltz , John P. Gaebler , Thomas M. Gatterman , Dan Gresh , Nathan Hewitt , Michael Mills
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Steven A. Moses Brian Neyenhuis Peter Siegfried David Hayes
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keywords quantumsurfacecodesingle-shotcomputercorrectionerrorexperiments
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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.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry

    quant-ph 2024-11 conditional novelty 8.0 of 10

    Cohomology operations, including new higher Pontryagin powers, yield constant-depth logical R_k and multi-controlled R_k gates in homological quantum codes on projective spaces, extending the known color-code paradigm.

  2. Quantum Cellular Automata from Kramers-Wannier Dualities and Modular Relations

    quant-ph 2026-07 conditional novelty 6.0 of 10

    Gravitational topological responses are shown to appear as the projective phase (ST)^3=Y in gauging/stacking relations, corresponding on the lattice to nontrivial QCAs implementable via finite-depth circuits, measurem...

  3. Two-qubit gate protocols with microwave-dressed Rydberg ions in a linear Paul trap

    quant-ph 2024-12 conditional novelty 6.0 of 10

    An optimized microwave-dressed Rydberg ion pulse sequence implements a 200 ns two-qubit controlled-phase gate with 99.25% simulated fidelity including finite Rydberg decay.

  4. A Universal Circuit Set Using the $S_3$ Quantum Double

    quant-ph 2024-11 conditional novelty 6.0 of 10

    A complete circuit-level blueprint for universal quantum computation using the D(S3) quantum double, with anyon interferometry and a concatenated local error-correcting code.

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