Noise thresholds for the〚[4, 2, 2]〛-concatenated toric code

Criger, D.B.; Terhal, B.M.

Noise thresholds for the〚[4, 2, 2]〛-concatenated toric code

Journal article (2016)

Authors

D.B. Criger Rheinisch-Westfälische Technische Hochschule

B.M. Terhal Rheinisch-Westfälische Technische Hochschule

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Quantum error correction Color codes Noise threshold

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Published Date

2016

Language

English

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Abstract

We analyze the properties of a 2D topological code derived by concatenating the [4, 2, 2K] code with the toric/surface code, or alternatively by removing check operators from the 2D square-octagon or 4.8.8 color code. We show that the resulting code has a circuit-based noise threshold of ∼ 0.41% (compared to ∼ 0.6% for the toric code in a similar scenario), which is higher than any known 2D color code. We believe that the construction may be of interest for hardware in which one wants to use both long-range two-qubit gates as well as short-range gates between small clusters of qubits.