Benchmarking the Planar Honeycomb Code Article Swipe

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Craig Gidney , Michael Newman , Matt McEwen ·

YOU? · · 2022 · Open Access · · DOI: https://doi.org/10.22331/q-2022-09-21-813

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.

Related Topics

Computer Science

Planar Transmission Line

Benchmark (Surveying)

Algorithm

Honeycomb

Monte Carlo Method

Theoretical Computer Science

Concepts

Qubit Computer science Benchmarking Planar Benchmark (surveying) Algorithm Honeycomb Code (set theory) Concatenation (mathematics) Monte Carlo method Theoretical computer science Parallel computing Topology (electrical circuits) Mathematics Physics Arithmetic Quantum Statistics Geometry Quantum mechanics Combinatorics Marketing Set (abstract data type) Business Programming language Geodesy Geography Computer graphics (images)

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Type: article
Language: en
Landing Page: https://doi.org/10.22331/q-2022-09-21-813
PDF: https://quantum-journal.org/papers/q-2022-09-21-813/pdf/
OA Status: gold
Cited By: 34
References: 21
Related Works: 10
OpenAlex ID: https://openalex.org/W4296720917

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DOI: https://doi.org/10.22331/q-2022-09-21-813

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Title: Benchmarking the Planar Honeycomb Code

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Language: en

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Publication year: 2022

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Publication date: 2022-09-21

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Authors: Craig Gidney, Michael Newman, Matt McEwen

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Landing page: https://doi.org/10.22331/q-2022-09-21-813

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Concepts: Qubit, Computer science, Benchmarking, Planar, Benchmark (surveying), Algorithm, Honeycomb, Code (set theory), Concatenation (mathematics), Monte Carlo method, Theoretical computer science, Parallel computing, Topology (electrical circuits), Mathematics, Physics, Arithmetic, Quantum, Statistics, Geometry, Quantum mechanics, Combinatorics, Marketing, Set (abstract data type), Business, Programming language, Geodesy, Geography, Computer graphics (images)

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Cited by: 34

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Citations by year (recent): 2025: 12, 2024: 9, 2023: 11, 2022: 2

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