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New circuits and an open source decoder for the color code

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arxiv 2312.08813 v1 pith:LGAYSGTT submitted 2023-12-14 quant-ph

classification quant-ph
keywords colorcodecodeschromobiuscircuitsdecodermiddle-outnoise
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abstract

We present two new color code circuits: one inspired by superdense coding and the other based on a middle-out strategy where the color code state appears halfway between measurements. We also present ``Chromobius'', an open source implementation of the m\"obius color code decoder. Using Chromobius, we show our new circuits reduce the performance gap between color codes and surface codes. Under uniform depolarizing noise with a noise strength of $0.1\%$, the middle-out color code circuit achieves a teraquop footprint of 1250 qubits (vs 650 for surface codes decoded by correlated matching). Finally, we highlight that Chromobius decodes toric color codes better when given *less* information, suggesting there's substantial room for improvement in color code decoders.

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Forward citations

Cited by 14 Pith papers

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

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    quant-ph 2025-10 conditional novelty 6.0 of 10

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    quant-ph 2025-05 conditional novelty 6.0 of 10

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  12. Estimating decoding graphs and hypergraphs of memory QEC experiments

    quant-ph 2025-04 conditional novelty 6.0 of 10

    Syndrome statistics alone can reconstruct the detector error models of repetition, surface, and color code memories, including hyperedge probabilities, assuming independent Pauli noise with known error-event structure.

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    quant-ph 2025-02 conditional novelty 6.0 of 10

    Diamond circuits implement a surface code on a Heavy-Square lattice using about 25% fewer qubits and 40% fewer control lines than the standard circuit, at the cost of a roughly 3x lower threshold and longer detecting regions.

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