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Quantum Codes for Asymmetric Channels: ZZZY Surface Codes

Diego Forlivesi, L. Valentini, M. Chiani·September 16, 2024·DOI: 10.1109/LCOMM.2024.3454804
PhysicsComputer Science

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Abstract

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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