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Quantum codes for asymmetric channels: ZZZY surface codes

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arxiv 2409.10162 v1 pith:PLN6MGQJ submitted 2024-09-16 quant-ph

Quantum codes for asymmetric channels: ZZZY surface codes

classification quant-ph
keywords codessurfacezzzyasymmetricchannelchannelsgeneratorsquantum
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We introduce surface ZZZY codes, a novel family of quantum error-correcting codes designed for asymmetric channels. Derived from standard surface codes through tailored modification of generators, ZZZY codes can be decoded by the minimum weight perfect matching (MWPM) algorithm with a suitable pre-processing phase. The resulting decoder exploits the information provided by the modified generators without introducing additional complexity. ZZZY codes demonstrate a significant performance advantage over surface codes when increasing the channel asymmetry, while maintaining the same correction capability over depolarizing channel.

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