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Benchmarking the Planar Honeycomb Code

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Craig Gidney1, Michael Newman1, and Matt McEwen1,2

1Google Quantum AI, Santa Barbara, California 93117, USA
2University of California, Santa Barbara, 93106, USA

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Abstract

We improve the planar honeycomb code by describing boundaries that need no additional physical connectivity, and by optimizing the shape of the qubit patch. We then benchmark the code using Monte Carlo sampling to estimate logical error rates and derive metrics including thresholds, lambdas, and teraquop qubit counts. We determine that the planar honeycomb code can create a logical qubit with one-in-a-trillion logical error rates using 7000 physical qubits at a 0.1% gate-level error rate (or 900 physical qubits given native two-qubit parity measurements). Our results cement the honeycomb code as a promising candidate for two-dimensional qubit architectures with sparse connectivity.

Estimating overheads for quantum fault-tolerance in the honeycomb code (Talk by Mike Newman)

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A short history of the honeycomb code (Talk by Craig Gidney)

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In this paper, we benchmarked a new version of the honeycomb code. The old version of the honeycomb code couldn’t fit on a flat surface. It had to be wrapped around a donut. That was a problem because many quantum computer architectures place qubits on a flat surface, not on donuts. Although the donut problem was fixed, the fix required changes that we were worried might seriously hurt the performance of the honeycomb code. However, the result of this paper is that the new honeycomb code still performs very well. This shows the honeycomb code is a viable error correcting code candidate for large scale quantum computer architectures, even ones that place qubits on a flat surface.

► BibTeX data

► References

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Cited by

[1] Craig Gidney, “A Pair Measurement Surface Code on Pentagons”, arXiv:2206.12780.

[2] Craig Gidney, “Stability Experiments: The Overlooked Dual of Memory Experiments”, arXiv:2204.13834.

The above citations are from SAO/NASA ADS (last updated successfully 2022-09-21 12:03:37). The list may be incomplete as not all publishers provide suitable and complete citation data.

Could not fetch Crossref cited-by data during last attempt 2022-09-21 12:03:34: Could not fetch cited-by data for 10.22331/q-2022-09-21-813 from Crossref. This is normal if the DOI was registered recently.

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  • Source: https://quantum-journal.org/papers/q-2022-09-21-813/
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