Constructing fault complexes for quantum error correction was previously limited by a square-root scaling barrier in relation to the resources needed. Yijia Xu of the University of Maryland, and colleagues from Shanghai Institute for Mathematics and Interdisciplinary Sciences (SIMIS) and Tsinghua University have introduced “spacetime lifting”, a new method for building these complexes that sharply outperforms existing constructions. The approach achieves fault complexes with almost-linear fault distance in total spacetime cost, representing a key step towards more efficient quantum computation and improved fault tolerance.

Yijia Xu and colleagues have devised a new technique, termed “spacetime lifting”, to construct more efficient quantum error correction systems. The method moves beyond traditional approaches by considering both the spatial arrangement and timing of error correction processes as a single, unified system. Consequently, this yields fault complexes, the building blocks of error correction, with sharply reduced resource requirements compared to previous designs.

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